Answer
$625y^2$
Work Step by Step
$(5y^\frac{1}{2})^4$
We can write this as $(5\times y^\frac{1}{2})^4$
We can distribute the components inside the exponent to:
$5^4 \times y^(\frac{1}{2}\times4)= 5^4 \times y^2 = 625y^2$
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 - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 24
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