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GMAT Quant — Quant (No Tags Provided)

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

A. $3^{5} (3^{5 p})$
B. $3^{5} (3^{p + 2})$
C. $3^{5 p + 10}$
D. $3 (3^{5 p})$
E. $(3^{5 p})^{2}$

Explanation	Calculations	Help
$We apply the exponent-of-a-power rule to the nested exponent expression.$	$(3^{5})^{p + 2} = 3^{5 (p + 2)}$
$We distribute the multiplication across the sum inside the parentheses.$	$5 (p + 2) = 5 p + 10$	Theory & Tactics Method Card CALC2-D Click to view full details
$We substitute back to express the result with a single exponent.$	$3^{5 p + 10}$

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C

GMAT Quant — Quant (No Tags Provided)

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

A. $3^{5} (3^{5 p})$
B. $3^{5} (3^{p + 2})$
C. $3^{5 p + 10}$
D. $3 (3^{5 p})$
E. $(3^{5 p})^{2}$

Explanation	Calculations	Help
$We apply the exponent-of-a-power rule to the nested exponent expression.$	$(3^{5})^{p + 2} = 3^{5 (p + 2)}$
$We distribute the multiplication across the sum inside the parentheses.$	$5 (p + 2) = 5 p + 10$	Theory & Tactics Method Card CALC2-D Click to view full details
$We substitute back to express the result with a single exponent.$	$3^{5 p + 10}$

Scroll horizontally to view all columns

C