Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-5 Solving Square Root and Other Radical Equations - Practice and Problem-Solving Exercises - Page 397: 83

Answer

$125$

Work Step by Step

In this problem, we can break big numbers down to be able to work with them with more ease. Let us break down the number $25$ to base $5$ raised to the $2nd$ power: $(5^2)^{1.5}$ Raising a power to a power means we can multiply the two exponents together, keeping the same base. Let's multiply the exponents together first: $5^{(2)(1.5)}$ Multiply to simplify the exponents: $5^{3}$ Raise $5$ to the $3rd$ power to solve: $125$
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.