Answer
$25$ as the first blank, $14$ as the exponent.
Work Step by Step
Let $a,b$ represent the blanks. We have $\sqrt {ax^b}=5x^7$. Take the square on both sides. We get $ax^b=25x^{14}$. Thus $a=25, b=14$.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter P - Section P.3 - Radicals and Rational Exponents - Exercise Set - Page 48: 138
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