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# Which of the following is equal to x^24 for all positive values of x?

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Which of the following is equal to x^24 for all positive values of x?  [#permalink]

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31 Mar 2019, 09:06
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Difficulty:

25% (medium)

Question Stats:

77% (01:01) correct 23% (01:03) wrong based on 30 sessions

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Which of the following is equal to x^$$24$$ for all positive values of $$x?$$

A. x^12 + x^12

B. (−x^12)^−2

C. $$(x^6)^6$$

D. $$(x^2)(x^3)(x^4)$$

E. (x^72)^$$\frac{1}{3}$$

Source: McGraw-Hill's GMAT

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Which of the following is equal to x^24 for all positive values of x?  [#permalink]

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31 Mar 2019, 09:53
a) $$x^{12}+x^{12} = x^{12}(1+1) = 2*x^{12}$$. Eliminate A.

b) $$(-x^{12})^{-2}$$ = $$\frac{-1}{x^{24}}$$. Eliminate B.

c) $$(x^6)^6 = x^{36}$$. Eliminate C.

d) $$x^2*x^3*x^4 = x^{2+3+4} = x^9$$. Eliminate D.

e) $$(x^{72})^{\frac{1}{3}}$$ = $$x^{\frac{72}{3}} = x^{24}$$. E is the answer.
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Re: Which of the following is equal to x^24 for all positive values of x?  [#permalink]

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31 Mar 2019, 10:03
Which of the following is equal to x^$$24$$ for all positive values of $$x?$$

A. x^12 + x^12

B. (−x^12)^−2

C. $$(x^6)^6$$

D. $$(x^2)(x^3)(x^4)$$

E. (x^72)^$$\frac{1}{3}$$

Source: McGraw-Hill's GMAT

x^24
only option E is valid
Re: Which of the following is equal to x^24 for all positive values of x?   [#permalink] 31 Mar 2019, 10:03
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