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# Which is equal to (x^3)^2 + 5^3(5^4)?

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Senior Manager
Joined: 02 Jan 2017
Posts: 312
Which is equal to (x^3)^2 + 5^3(5^4)?  [#permalink]

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22 Feb 2017, 07:46
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Difficulty:

15% (low)

Question Stats:

90% (00:39) correct 10% (01:11) wrong based on 33 sessions

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Which is equal to (x^3)^2 + 5^3(5^4)?

A.x^9 + 5^7
B.x^9 + 25^7
C.x^6 + 25^7
D.x^6 + 25^7
E.x^6 + 5^7
Intern
Joined: 18 Jan 2017
Posts: 28
Re: Which is equal to (x^3)^2 + 5^3(5^4)?  [#permalink]

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22 Feb 2017, 07:56
Sorry I am unable to see the question properly on my handheld... but from what I could comprehend it must be option E... since (x^m)^n = x^mn (in this case m=3 and n = 2) and 5^3 x 5^4 = 5^3+4 = 5^7

Sent from my GT-I9060I using GMAT Club Forum mobile app
CEO
Joined: 12 Sep 2015
Posts: 3000
Re: Which is equal to (x^3)^2 + 5^3(5^4)?  [#permalink]

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22 Feb 2017, 08:24
Top Contributor
I placed some brackets around 5^3 to avoid ambiguity...

vikasp99 wrote:
Which is equal to (x^3)^2 + (5^3)(5^4)?

A.x^9 + 5^7
B.x^9 + 25^7
C.x^6 + 25^7
D.x^6 + 25^7
E.x^6 + 5^7

(x^3)^2 = x^6 (power of a power law)
(5^3)(5^4) = 5^7 (product law)

So, (x^3)^2 + (5^3)(5^4) = x^6 + 5^7

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Re: Which is equal to (x^3)^2 + 5^3(5^4)? &nbs [#permalink] 22 Feb 2017, 08:24
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