Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises - Page 21: 6

Answer

The missing power is 2/3.

Work Step by Step

By law 1: a$^{m}$ $\times$ a$^{n}$= a$^{n+m}$ So we have: 5$^{1/3}$ $\times$ 5$^{2/3}$= 5$^{\frac{1}{3}+ \frac{2}{3}}$ = 5$^{3/3}$ = 5.
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