Which of the following is equivalent to (5^3)^{x+2... | Free GMAT Practice Question | GMAT Panda

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Official GMAT-style Quant Question

Which of the following is equivalent to (5^{3})^{x + 2} ?

Explanation	Calculations	Help
$We apply the exponent-of-exponent rule to simplify the nested exponent.$	$(5^{3})^{x + 2} = 5^{3 (x + 2)}$	Theory & Tactics Method Card EXP0-G Click to view full details
$We distribute the exponent multiplication inside the parentheses.$	$3 (x + 2) = 3 x + 6$
$We combine the result into a single exponent expression.$	$5^{3 x + 6}$

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C

Official GMAT-style Quant Question

Which of the following is equivalent to (5^{3})^{x + 2} ?

Explanation	Calculations	Help
$We apply the exponent-of-exponent rule to simplify the nested exponent.$	$(5^{3})^{x + 2} = 5^{3 (x + 2)}$	Theory & Tactics Method Card EXP0-G Click to view full details
$We distribute the exponent multiplication inside the parentheses.$	$3 (x + 2) = 3 x + 6$
$We combine the result into a single exponent expression.$	$5^{3 x + 6}$

Scroll horizontally to view all columns

C