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A Product with a Rational Exponent and a Radical

SATMAT-SW32NK

The expression $5{ x }^{ \frac { 3 }{ 2 } }\sqrt { 8x }$ is equivalent to which of the following expressions?

(No calculator)

A

$40{ x }^{ 2 }$

B

$2x\sqrt { 10 }$

C

$10{ x }^{ 2 }\sqrt { 2 }$

D

$10{ x }^{ 2 }\sqrt { 10 }$