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SAT® Subject Test in Math 1 & 2

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Moderate

Fractional Exponents: 2/3

SATSTM-XQXET5

Which one of the following is equivalent to ${\left(8x\right)}^{\frac{2}{3}}$ ?

A

$2\cdot\sqrt[2]{{x}^{3}}$

B

$4\cdot\sqrt[3]{{x}^{2}}$

C

$4\cdot\sqrt[2]{{x}^{3}}$

D

$8\cdot\sqrt[3]{{x}^{2}}$

E

$\cfrac{16}{3}\cdot\sqrt[3]{{x}^{2}}$