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# If x ≠ 0, x(x^5)^2/x^4 =

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SVP
Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1595
Location: Pakistan
GPA: 3.39
If x ≠ 0, x(x^5)^2/x^4 = [#permalink]

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14 Oct 2017, 10:39
1
00:00

Difficulty:

5% (low)

Question Stats:

95% (00:10) correct 5% (00:26) wrong based on 38 sessions

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If x ≠ 0, $$\frac{x(x^5)^2}{x^4}$$ =

(A) x^5
(B) x^6
(C) x^7
(D) x^8
(E) x^9

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Senior Manager
Joined: 13 Oct 2016
Posts: 296
GMAT 1: 600 Q44 V28
Re: If x ≠ 0, x(x^5)^2/x^4 = [#permalink]

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14 Oct 2017, 11:04
In exponent we need to know that (a^b)^c = a^(bc).

Applying the above logic to the question at hand we get

(x*(x^5)^2)/(x^4) = (x*(x^10))/(x^4) = (x^11)/(x^4) = x^7

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Joined: 25 Feb 2013
Posts: 1181
Location: India
GPA: 3.82
If x ≠ 0, x(x^5)^2/x^4 = [#permalink]

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14 Oct 2017, 11:04
If x ≠ 0, $$\frac{x(x^5)^2}{x^4}$$ =

(A) x^5
(B) x^6
(C) x^7
(D) x^8
(E) x^9

$$\frac{x(x^{5*2})}{x^4}=\frac{x^{10+1}}{x^4}$$

or $$x^{11-4}=x^7$$

Option C
If x ≠ 0, x(x^5)^2/x^4 =   [#permalink] 14 Oct 2017, 11:04
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