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Which of the following is equal to x^18 for all positive values of x ?

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Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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New post 08 Oct 2018, 03:49
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A
B
C
D
E

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  5% (low)

Question Stats:

95% (00:23) correct 5% (00:39) wrong based on 125 sessions

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Re: Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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New post 08 Oct 2018, 04:00
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Bunuel wrote:
Which of the following is equal to \(x^{18}\) for all positive values of x ?


A. \(x^9 + x^9\)

B. \((x^2)^9\)

C. \((x^9)^9\)

D. \((x^3)^{15}\)

E. \(\frac{x^4}{x^{22}}\)


Answer choice B.

\(x^a^b\) = \(x^{a*b}\)

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Re: Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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New post 08 Oct 2018, 04:21
Answer choice B , for all positive values of X
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Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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New post 08 Oct 2018, 05:20
Bunuel wrote:
Which of the following is equal to \(x^{18}\) for all positive values of x ?


A. \(x^9 + x^9\)

B. \((x^2)^9\)

C. \((x^9)^9\)

D. \((x^3)^{15}\)

E. \(\frac{x^4}{x^{22}}\)



Given ,

\(x^{18}\)

=\((x^2)^9\)

The best answer is B.
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Re: Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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New post 08 Oct 2018, 09:29
Bunuel wrote:
Which of the following is equal to \(x^{18}\) for all positive values of x ?


A. \(x^9 + x^9\)

B. \((x^2)^9\)

C. \((x^9)^9\)

D. \((x^3)^{15}\)

E. \(\frac{x^4}{x^{22}}\)

Certainly (B) for the reasons cited by the users above.
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Which of the following is equal to x^18 for all positive values of x ?  [#permalink]

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New post 29 Aug 2019, 19:50
Bunuel wrote:
Which of the following is equal to \(x^{18}\) for all positive values of x ?


A. \(x^9 + x^9\)

B. \((x^2)^9\)

C. \((x^9)^9\)

D. \((x^3)^{15}\)

E. \(\frac{x^4}{x^{22}}\)


Asked: Which of the following is equal to \(x^{18}\) for all positive values of x ?


A. \(x^9 + x^9\)
2x^9
B. \((x^2)^9\)
x^18
C. \((x^9)^9\)
x^81
D. \((x^3)^{15}\)
x^45
E. \(\frac{x^4}{x^{22}}\)
x^{-18}

IMO B

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Which of the following is equal to x^18 for all positive values of x ?   [#permalink] 29 Aug 2019, 19:50
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