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# compare exponents

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Retired Moderator
Joined: 07 Jun 2014
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GRE 1: Q167 V156
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compare exponents [#permalink]  15 May 2018, 16:17
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Question Stats:

70% (00:19) correct 29% (00:17) wrong based on 24 sessions
 Quantity A Quantity B $$20^{7}$$ $$(\frac{4^{13}}{4^6})^(5^4 \times 5^3)$$

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: compare exponents [#permalink]  16 May 2018, 01:40
simplify qty B:
$$\frac{4^13}{4^6}$$ can be expressed as $$4^7$$
and $$5^4 * 5^3$$ can be expressed as $$5^7$$
Hence qty B = $$4^7 * 5^7$$ = $$(4*5)^7$$ = $$20^7$$
qty A = qty B
option c
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Re: compare exponents   [#permalink] 16 May 2018, 01:40
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# compare exponents

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