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AP® Statistics

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Substituting Exponential Expressions

GRE-O9S1EI

Given that $x=({ y }^{ 2 })^{ 10 }$, and $a=({ x }^{ 2 }{ y }^{ 3 })^{ 4 }$, what is $xa$ in its fully simplified form?

A

${ y }^{ 25 }$

B

${ y }^{ 192 }$

C

${ y }^{ 92 }$

D

${ y }^{ 20 }$

E

${ x }^{ 8 }{ y }^{ 32 }$