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3^2*9^5 =

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3^2*9^5 =  [#permalink]

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New post 30 Oct 2018, 15:13
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:22) correct 3% (00:59) wrong based on 31 sessions

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3^2*9^5 =

A. 3^3

B. 3^1 0

C. 3^1 2

D. 27^7

E. 27^1 0

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Re: 3^2*9^5 =  [#permalink]

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New post 30 Oct 2018, 15:19
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Baten80 wrote:
3^2 × 9^5 =

A.3^3

B. 3^1 0

C. 3^1 2

D. 27^7

E. 27^1 0


Let's rewrite 9 as a power of 3 to get: 9 =

So, 3^2 × 9^5 = 3^2 × ()^5
= 3^2 × 3^10
= 3^12

Answer: C

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Re: 3^2*9^5 =  [#permalink]

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New post 31 Oct 2018, 17:23
Baten80 wrote:
3^2*9^5 =

A. 3^3

B. 3^1 0

C. 3^1 2

D. 27^7

E. 27^1 0


If we re-express 9^5 as (3^2)^5, we have:

3^2 x (3^2)^5

3^2 x 3^10 = 3^12

Answer: C
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Re: 3^2*9^5 = &nbs [#permalink] 31 Oct 2018, 17:23
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