Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises - Page R-25: 19



Work Step by Step

Step 1: When looking at this problem, you will see there are parenthesis around the whole fraction and that it is raised to the -3 power. These parenthesis mean that you distribute the -3 exponent to everything inside of the fraction. You do this by multiplying -3 by the other exponents connected to the values a and b separately. So, -1 * -3 = 3 2 * -3 = -6 Therefore, you end up with $\frac{a^{3}}{b^{-6}}$ Step 2: Once you distribute the -3, you notice that the a value becomes positive and the b value becomes negative. Since you cannot have a negative exponent in your final answer, you have to change the problem around to make the b value's exponent positive. You do this by moving the $b^{-6}$ from the denominator, to the numerator. It then becomes: $\frac{a^{3}\times{b^{6}}}{1}$ Step 3: The last step is to simplify the fraction. Since "a" and "b" are not like terms, you cannot combine them. Also, anything divided by 1 is just itself. Therefore, you can eliminate the fraction by getting rid of the 1 leaving $a^{3}\times{b^{6}}$ as your final answer.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.