SAT Math Practice Question #14347 - SATify | SATify

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SAT Math Practice Question #14347 - SATify | SATify

#14347

radicals

exponents

hard

80 sec

The expression $a^{- \frac{3}{4}} b^{\frac{1}{3}}$ , where $a > 1$ and $b > 1$ , is equivalent to which of the following?

A.

$\frac{4 a ^{3}}{3 b}$

B.

$\frac{3 b}{4 a ^{3}}$

C.

$4 a^{3} 3 b$

D.

$\frac{1}{4 a ^{3} 3 b}$