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ACT® Math

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Moderate

Fractional Exponents

ACTMAT-Z9EVFX

Which of the following is equivalent to:

$$ { (16{ a }^{ -4 }{ b }^{ 12 }{ c }^{ 4 }) }^{ \frac { 1 }{ 4 } } $$

A

$ \cfrac { 4{ b }^{ 3 }c }{ a } $

B

$ \cfrac { 2{ b }^{ 3 }{ c } }{ a } $

C

$ \cfrac { 2{ b }^{ 8 } }{ a } $

D

$ \cfrac { 4{ b }^{ 8 }c }{ a } $

E

$ \cfrac { 4{ b }^{ 8 } }{ a } $