Answer
The expression is $(t+3)^{\frac{6}{5}}$
Work Step by Step
To solve
= $(t+3)^{\frac{4}{5}}$$(t+3)^{\frac{2}{5}}$ --> Since they have the same base, we can add the exponents.
= $(t+3)^{\frac{4}{5}+\frac{2}{5}}$
= $(t+3)^{\frac{6}{5}}$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 7 - Exponents and Exponential Functions - 7-2 Multiplying Powers With the Same Base - Practice and Problem-Solving Exercises - Page 431: 51
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