Answer
$$r^{10.5}t^{3.5}$$
Work Step by Step
We are told that all variables are not negative. Thus, using the rules of radicals, we find:
$$ \left(r^3t\right)^{\frac{1}{2}\cdot \:7}\\ \left(r^3t\right)^{\frac{1}{2}\cdot \:7}\\ r^{10.5}t^{3.5}$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 648: 90
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