Before you can effectively use exponents, it is necessary to understand the laws behind them. First, in order to multiply a number raised to an exponent, by that number raised to another exponent, just add the exponents: for example, 2^5 * 2^2 is 2^(5+2), or 2^7. In short, a^m * a^n = a^(m+n). Similarly, dividing a number raised to an exponent by that number raised to another exponent can be done by subtracting the exponents: a^m / a^n = a^(m-n). To raise a number raised by an exponent to ano...
In this video tutorial the instructor shows how to solve a single-step equation by taking the reciprocal. He says that in the equations of fractions containing a variable on the one side, you multiply the reciprocal of its numerical constant to it so that only the variable x stays out. Similarly we need to multiply the reciprocal value that we used on the left hand side on the right hand side too to maintain the equality. Now after simplification as only x is left on the one side we get its v...
The author in this video explains the concept of fundamental rule of proportions. Fundamental rule of proportions means cross multiply. He explains that to arrive from an equation which has fractions into the one without equation multiply the top of left side with the bottom of right side and equal it with bottom of left side multiplied with top of the right side. In this way proportions can be cross multiplied to arrive at an algebraic expression. If you want to master the rule of proportion...
This image editing software tutorial shows you how to create an artsy, textured sign in page for flush mount style albums in Photoshop CS3. Learn how to use the multiply blend mode to darken the image and bring out the texture of the texture layer in Photoshop.
Two college students; Kevin Martin and Joey Smokey introduce the concept of Molar Mass. They start of by explaining what molar mass is, which is the relationship of a mole and a gram, it totals up the weight(in g)of a molecule. An example: say you have this compound, Sodium phosphate (Na3PO4). You know you have three sodium atoms, one phosphorus atom, and four oxygen atoms. You basically find the weight of each atom, if you have three sodium atoms, you multiply it's atomic mass by 3 (the numb...
This video shows how to find the area of a circle using a formula. The formula for area of circle is pie multiplied by square of radius. Pie is actually an infinite number but for the sake of convenience we consider the value of pie as 3.14. So we multiply the square of radius with 3.14. Radius is the distance between the center point of the circle to any of the outside arcs. It is actually half of the diameter (diameter is the distance between two arcs of a circle). As an example here the ra...
In this tutorial you are shown exactly how to do algebraic long division when terms are missing in the polynomial. Follow these steps and you can divide whatever you'd like:
This video is about using the grouping factoring method. We're using a four term polynomial. There is a even number of terms. We can break them into two groups of 2. The first group of "2" the common factor is "a." The last group, the common factor is "-2b". The reason we use -2b is to assure that what is in the first group is the same as the second group. Because of the distributive property of multiplication over addition, we take the a-2b and put it in one bracket. Multiply by 3x+1. With 6...
Making a storyboard before shooting a movie is like drawing a blueprint before grabbing a hammer and nails. Do it well, and make sure your film is structurally sound.
In this video, we learn how to follow three rules to balance chemical equations. The first rule is that you need to start by balancing elements that appear in only one reactant and one product. The second rule is that you need to multiply through by common factors. You must retain equal numbers of atoms of each element on both sides of the equation. The third rule is: if an atom appear in elemental form on one side of the equation, save it for last. Going over the rules of how the balance the...
In order to add fractions that are not alike, you will need to find the lowest common denominator. This is the least common multiple of the fractions. To add 2/3 plus 1/5, you will need to find the lowest common denominator. Here, it is best to think of all of the multiples of the denominators. If it helps, make a list. For 3, it is 3, 6, 9, 12, 15, etc. For five, the multiples are 5, 15, 20, 25, etc.
From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to unpack and solve problems requiring you to multiply whole numbers.
In this video tutorial, viewers learn how to find the circumference of a circle. This task is very easy, simple and fast to do. To find the circumference of a circle, multiple Pi with the diameter of the circle. The value of Pi is 3.14. The diameter is equal to 2 times the radius. Simply multiply the radius by 2 to find he diameter. The diameter is the straight horizontal line in the center of a circle. This video provides a demonstration for viewers to easily understand and follow along. Thi...
In this tutorial, we learn how to find the area of a rectangle. First, you will need to know the formula, which is length times width. So, first find the length and width of the rectangle. After this, you will multiply the length and width together. Next, write down the units so you don't forget. When you are finished, you will know the area in just a few easy steps. This is a basic formula that is easy to understand and can be done quickly. When you are finished finding this, make sure you w...
This video shows you how to generate random numbers with decimals in Microsoft Excel.When generating random numbers you must have a lower and upper limit, so that your number will be generated between the two limits. For a number without decimals, you only have to use the "=randbetween" function. If you want to use decimals, you will have to use a different but similar function. Start by typing "=rand()". Next, you multiply this by the difference between the limits and add the lower limit. Fo...
This video in the Education category will show you how to find a percentage of a number. For example, what is 12% of 56? The simple way to do this is to find 10% of 56; which is 5. 6. Then you find 1% of 56 is .56. Then you add 10% plus 1% plus 1%, that is, 5. 6 plus .56 plus .56; which is 6. 72. And that’s the answer. The other way to do this is to make decimal out of 12; which is .12. Now multiply .12 by 56 and the product is 6. 72. These are the two methods of finding out a percentage of a...
The author in this tutorial shows how to convert mixed numbers into improper fractions. A mixed number has a big number to its left, a numerator for the fraction part and a denominator too for the fraction part. Now to convert the mixed number to improper fraction we first have to multiply the denominator with the big number and add numerator to it which results in a new numerator. Now the improper fraction is the new numerator divided by the previous denominator. The author explains this con...
For people who do not know how to divide basic fractions or who would like to refresh themselves or get some exercise in doing so, this video will show you a few quick and simple examples to get you started. In order to divide fractions, you will need to keep the first number the way it is and then take the second fraction which you are diving by and flip it upside down, so the numbers are reversed. You then multiply both the top and the bottom numbers together to get your final answer.
This simple video teaches "how to find the area of a rectangle" in a very simple way. Area is the amount of squares inside a two dimensional shape.
This video explains how to apply the 7th Law of Exponents. The principal rule explained here is that "To raise a quotient to a power, You can multiply each of its terms by the same power". This is a simple rule explained clearly with the help of a couple of examples, which is so simple that once you watch this video you will never make any mistake as far as the 7th Law of Exponents is concerned. It has also got a couple of more parts, do visit them and learn more.
Exponents are the times you multiply a number by itself. So 3 to the third power would equal 27. Another example could be 3 to the second would be 9. Any number with an exponent is always multiplied by the same number depending on the power. So this means that 5 to the third power would be 5x5x5, which would equal 125. One thing to remember is that when any number is multiplied by the power of 0, the number always is one.
County expert John White determines how to solve some pesky plant problems for the area. The first problem - cutter bees on Crepe Myrtle - is an obvious one, with the deep curved "bites" showing on most of the leaves. He suggests using an insecticide but then points out the signs of a second problem - beetle damage. Crepe Myrtle is prone to beetle infestations and he advises to get out a flashlight and look for them at night when they are at their worst. A problem with heat scorching on Euony...
In this Math tutorial, you will learn how to convert a mixed number into an improper fraction. The narrator explains the process in a very concise yet simple manner that will make math problems involving mixed numbers so much easier to solve. The general idea is to multiply the whole number with the denominator and then add that to the numerator. The explanation and illustration in the video makes it easy to understand.
This how-to video is about how to darken an over exposed image in Photoshop.
Take a look at this instructional video and learn how to use simple formulas in Microsoft Office Excel 2007 to add, subtract, multiply, and divide. For example, you can use a prewritten formula called the SUM function to find totals, such as your total monthly expenses. Excel updates the results if the numbers change later.
Math always seems hardest until someone shows you how to do the problem and then it all seems just so simple. This video will walk you through the process of finding the surface area of a cone when you also have to derive the slant height. Use this example to help with your other cone problems.
Thawing frozen food on the countertop or in warm water may put your family at risk from food-borne bacteria. Keep them safe by following these methods.
In this video, we learn how to find the volume of a swimming pool. To do this, you will first need to find the measurements of all the sides that are on the pool. After this, you will plug in the measurements that you found into the equation to find the volume. This equation is: V=AH, volume= area(height). So, plug in the area and the height to the equation for A and H and then multiply these two together. Once you do this, you will find the answer! Don't forget to label the units on the fina...
Factor a trinomial by grouping
In this tutorial, we learn how to add rational expressions. When you have two rational expressions, you will first need to factor every denominator. After this, find the lowest common denominator from all of them. After this, rewrite every fraction so it has the lowest common denominator for the denominator. Leave it in factored form for the denominators. Multiply the top and the bottom to find the answer for each of the fractions in the equation. When finished, make sure you find the most si...
In this tutorial, we learn how to rationalize square roots. You cannot have square roots in the denominator of an equation. You need to multiply so the square root goes away. You can do this by multiplying the top and bottom of the equation by the bottom denominator. From here, this will make the square root go away, so your equation will be normal numbers. After you have done this, you will have the equation answered and you will be able to simplify it to find the end answer. You can do this...
In this video, we learn how to rationalize the denominator. This says that if there is a square root or any type of root, you need to get rid of them. Look at the examples given in the video to get an idea of what types of roots you will be removing and how to do it. To get rid of a square root, all you really have to do is to multiply the top and bottom by that same square root. Do this on all of your problems with a square root and they will be gone in just a matter of minutes!
In this tutorial, we learn how to find the area of a circle. The line from the middle to the edge of the circle is called the radius. Find what this is in your equation, then multiply (3.14 X radius x radius). This will always work out the area of a circle for you. So, do this equation with your calculator or by hand, then you will have the correct answer for the area. Make sure to add the units squared after you get the answer. If you are given the diameter (line all the way across), you wou...
In this video, we learn how to understand and determine equivalent fractions. If you have an equation with an equivalent fraction, you will first multiply the first numerator by the second denominator. Then, you will divide this answer by the denominator of the first fraction. After you do this, it will give you the correct answer. You can also do the reverse multiplication for this to check your answer and make sure you are correct. You can get an answer no matter what the numbers in the equ...
In this video, we learn how to find the area of a trapezoid. The formula to figure out how to find the answer is: Area= 1/2x (base1 x base2) x height. Now, find the bases and the height of the trapezoid. Remember that the height must always be perpendicular to the bases. Once you have found these, add the bases and multiply by the height. You can use a calculator to do this or do it off hand if you're good with math. For the third step, divide the answer by 2 and then write down the answers w...
In this video, we learn how to solve a single-step equation using multiplication. For the first step, get rid of any number surrounding the variable. To do this, you will need to multiply the numbers around it by their opposite to make them equal zero. Once you have done this, you will need to repeat the process on the other side of the equal sign. Just do the same exact thing you did in the first step, then you will be able to easily solve the problem at hand. You can check your answer by re...
In this tutorial, we learn how to write equivalent fractions. If you have a negative in front of the fraction, it's the same as writing the negative on the numerator or the denominator. If we would have a negative on the top and on the bottom, this would cancel both out to create a positive, which wouldn't be right. To write the fractions, simplify it. If it's already simplified, you will need to multiply the fraction. After you do this, you will finish the equation and have it written out in...
This is a video tutorial in the Education category where you are going to learn how to apply the 6th Law of Exponents. The 6th law of exponents says, to raise a product to a power, you can multiply each of its factors by the same power. For example if you have (acm) to the power x, that will be equal to the product of (a to the power x), (c to the power x) and (m to the power x). How is this done? (acm) to the power x is same as (a to the 1, c to the 1 and m to the 1). What we are doing is, w...
In this video, we learn how to flip and go to divide fractions. First, take your equation and then look at the fractions that you are given. If you work this out and end up with a fraction that can be reduced further, then reduce it. If you understand how to multiply fractions then you will understand how to divide them. You will take the second fraction in your equation and flip it upside down. Now the denominator will be the numerator and so on. Once you do this, you will change the sign to...
In this tutorial, we learn how to divide fractions step by step. First, you will need to know the different parts of the fraction, the numerator and the denominator. After you know these, you will flip the second fraction in the equation so the numerator is at the bottom and the denominator is at the top. Once you do this, change the division sign to a multiplication sign. Now, you will multiply the fraction as you normally do and then have the answer! This is a very simple way to divide frac...
