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# (9^x)^3 =?

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GMAT Club team member
Status: GMAT Club Team Member
Affiliations: GMAT Club
Joined: 02 Nov 2016
Posts: 5902
GPA: 3.62

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07 Jul 2019, 03:58
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Difficulty:

15% (low)

Question Stats:

88% (00:29) correct 12% (00:31) wrong based on 34 sessions

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$$(9^x)^3 =?$$

(A) $$3^{3x}$$

(B) $$3^{2+3x}$$

(C) $$3^{6x}$$

(D) $$729x^3$$

(E) $$9^{x^3}$$

Source: Nova GMAT

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Joined: 11 Sep 2015
Posts: 4875
GMAT 1: 770 Q49 V46

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07 Jul 2019, 05:28
Top Contributor
$$(9^x)^3 =?$$

(A) $$3^{3x}$$

(B) $$3^{2+3x}$$

(C) $$3^{6x}$$

(D) $$729x^3$$

(E) $$9^{x^3}$$

Source: Nova GMAT

Power of a Power law says: $$(b^x)^y=b^{xy}$$

Likewise, $$(9^x)^3=9^{3x}$$

$$=(3^2)^{3x}$$

$$=3^{6x}$$

Cheers,
Brent
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Re: (9^x)^3 =?   [#permalink] 07 Jul 2019, 05:28