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If x = 3^2, then what is the value of x^x?

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If x = 3^2, then what is the value of x^x?  [#permalink]

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New post 05 Feb 2019, 03:07
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (00:35) correct 17% (00:49) wrong based on 30 sessions

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Re: If x = 3^2, then what is the value of x^x?  [#permalink]

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New post 05 Feb 2019, 03:17
Bunuel wrote:
If \(x = 3^2\), then what is the value of \(x^x\)?

A. 3^4
B. 3^8
C. 3^9
D. 3^12
E. 3^18


IMO E

x = 3^2 = 9

x^x = 9^9 = 3^18
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Re: If x = 3^2, then what is the value of x^x?  [#permalink]

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New post 05 Feb 2019, 03:23
Bunuel wrote:
If \(x = 3^2\), then what is the value of \(x^x\)?

A. 3^4
B. 3^8
C. 3^9
D. 3^12
E. 3^18


Simplify x first.

\(x = 3^2 = 9\)

\(x^x = 9^9 = (3^2)^9 = 3^{18}\)

Answer (E)
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If x = 3^2, then what is the value of x^x?  [#permalink]

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New post Updated on: 06 Feb 2019, 19:44
Bunuel wrote:
If \(x = 3^2\), then what is the value of \(x^x\)?

A. 3^4
B. 3^8
C. 3^9
D. 3^12
E. 3^18


My reasoning:

\(3^{2* 3^2}\)

This becomes 3^18

Answer choice E

Originally posted by NinetyFour on 05 Feb 2019, 15:35.
Last edited by NinetyFour on 06 Feb 2019, 19:44, edited 1 time in total.
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Re: If x = 3^2, then what is the value of x^x?  [#permalink]

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New post 06 Feb 2019, 19:41
Bunuel wrote:
If \(x = 3^2\), then what is the value of \(x^x\)?

A. 3^4
B. 3^8
C. 3^9
D. 3^12
E. 3^18


Since x = 9, and since 9 = 3^2, we have:

9^9 = (3^2)^9 = 3^18

Answer: E
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Re: If x = 3^2, then what is the value of x^x?   [#permalink] 06 Feb 2019, 19:41
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