This page provides a list of educational videos related to Multiplying Powers With the Same Base. You can also use this page to find sample questions, apps, worksheets, lessons , infographics and presentations related to Multiplying Powers With the Same Base.

Dividing Scientific Notation | MathHelp.com

By MathHelp.com

To multiply numbers that are in written in scientific notation, such as 1.4 x 10 to the -2nd times 5.3 times 10 to the 6th, we first multiply the decimals, in this case 1.4 times 5.3, to get 7.42. Next, we multiply the powers of 10, in this case 10 to the -2nd times 10 to the 6th. Notice that we’re multiplying two powers that have like bases, so we add the exponents and leave the base the same, to get 10 to the -2 + 6, or 10 to the 4th. So we have 7.42 times 10 to the 4th. Finally, we’re asked to write our answer in scientific notation. Notice, however, that 7.42 times 10 to the -4th is already written in scientific notation, because we have a decimal between 1 and 10 that is multiplied by a power of 10. So we have our answer.

Multiplying Scientific Notation | MathHelp.com

By MathHelp.com

In this example, which involves natural logarithms, we’re asked to solve each of the following equations for x, and leave our answers in terms of e. To solve for x in the first equation, ln x = 3, we simply switch the equation from logarithmic to exponential form. Remember that ln x means the natural logarithm of x, and a natural log has a base of e. So, to convert the given equation to exponential form, remember that the base of the log represents the base of the power, the right side of the equation represents the exponent, and the number inside the log represents the result, so we have e…to the 3rd…= x, and we’ve solved for x. Notice that our answer, e cubed, is written in terms of e, which is what the problem asks us to do. Now, let’s take a look at the second equation, ln x squared = 8. Again, we solve for x by switching the equation from logarithmic to exponential form. Ln x squared means the natural logarithm of x squared, and a natural log has a base of e. So, converting the equation to exponential form, we have e…to the 8th…= x squared. Next, since x is squared, we take the square root of both sides. On the right, the square root of x squared is x. On the left, however, there are a couple of things to watch out for. First, remember that the square root of e to the 8th is the same thing as e to the 8th to the ½, which simplifies to e to the 8 times ½, or e to the 4th. Also, remember that when we take the square root of both sides of an equation, we use plus or minus, so our final answer is plus or minus e to the 4th = x.

GRE Math Test Prep | MathHelp.com

By MathHelp.com

This lesson covers the product rule. Students learn the product rule, which states that when multiplying two powers that have the same base, add the exponents. For example, x^4 times x^3 = x^7. To multiply 6s^3 times 3s^6, multiply the coefficients and add the exponents, to get 18s^9. If there is no exponent on the variable, it can be given an exponent of 1. For example, x can be thought of as x^1.

Exponents | MathHelp.com

By MathHelp.com

Math Antics - Intro To Exponents (aka Indices)

By mathantics

08 - Solving Exponential Equations - Part 1 - Solve for the Exponent

By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

Calculate Exponents & Learn to Use Exponents in Math - [5-7-15]

By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

Algebra Basics: Laws Of Exponents - Math Antics

By mathantics

06 - Proving the Logarithm (Log) Rules - Understand Logarithm Rules & Laws of Logs

By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

04 - Solving Logarithmic Equations - Part 1 - Equations with Log(x)

By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

18 - Properties of Logarithms (Log x) - Part 1 - Laws of Logs - Calculate Logs & Simplify

By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

ALL OF GRADE 9 MATH IN 60 MINUTES!!! (exam review part 1)

By Lumos Learning

Here is a great exam review video reviewing all of the main concepts you would have learned in the MPM1D grade 9 academic math course. The video is divided in to 3 parts. This is part 1: Algebra. The main topics in this section are exponent laws, polynomials, distributive property, and solving first degree equations. Please watch part 2 and 3 for a review of linear relations and geometry. If you watch all 3 parts, you will have reviewed all of grade 9 math in 60 minutes. Enjoy! Visit jensenmath.ca for more videos and course materials.