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GMAT Quant — Algebra (Exponents)

Which of the following is equivalent to (1 0^{2})^{n + 1} ?

A. $1 0^{2} (1 0^{2 n})$
B. $1 0^{2} (1 0^{n + 1})$
C. $1 0^{2 n + 3}$
D. $10 (1 0^{2 n})$
E. $(1 0^{2 n})^{2}$

Explanation	Calculations	Help
$We apply the exponent-of-a-power rule to simplify the nested exponent.$	$(1 0^{2})^{n + 1} = 1 0^{2 (n + 1)}$	Theory & Tactics Method Card EXP0-G Click to view full details
$We distribute the exponent multiplication inside the parentheses.$	$2 (n + 1) = 2 n + 2$
$We use the property of multiplying exponents with the same base to split the result into a product.$	$1 0^{2 n + 2} = 1 0^{2} \times 1 0^{2 n}$	Theory & Tactics Method Card EXP0-E Click to view full details

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A

GMAT Quant — Algebra (Exponents)

Which of the following is equivalent to (1 0^{2})^{n + 1} ?

A. $1 0^{2} (1 0^{2 n})$
B. $1 0^{2} (1 0^{n + 1})$
C. $1 0^{2 n + 3}$
D. $10 (1 0^{2 n})$
E. $(1 0^{2 n})^{2}$

Explanation	Calculations	Help
$We apply the exponent-of-a-power rule to simplify the nested exponent.$	$(1 0^{2})^{n + 1} = 1 0^{2 (n + 1)}$	Theory & Tactics Method Card EXP0-G Click to view full details
$We distribute the exponent multiplication inside the parentheses.$	$2 (n + 1) = 2 n + 2$
$We use the property of multiplying exponents with the same base to split the result into a product.$	$1 0^{2 n + 2} = 1 0^{2} \times 1 0^{2 n}$	Theory & Tactics Method Card EXP0-E Click to view full details

Scroll horizontally to view all columns

A