SAT Math Practice Question #38300 - SATify | SATify

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SAT Math Practice Question #38300 - SATify | SATify

#38300

algebra

exponents

hard

90 sec

Calculator OK

Which expression is equivalent to $\frac{( 2 ^{a} \cdot 3 ^{b} ) ^{2}}{6 ^{c}}$ , where $a, b,$ and $c$ are integers?

A.

$2^{2 a - c} \cdot 3^{2 b - c}$

B.

$2^{a - c} \cdot 3^{b - c}$

C.

$2^{2 a} \cdot 3^{2 b} \cdot 6^{- c}$

D.

$2^{a + 2} \cdot 3^{b + 2} \cdot 6^{- c}$