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# 3^2*9^5 =

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Senior Manager
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Joined: 14 Jul 2010
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30 Oct 2018, 16:13
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Difficulty:

5% (low)

Question Stats:

98% (00:29) correct 2% (00:56) wrong based on 49 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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Joined: 12 Sep 2015
Posts: 4009

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30 Oct 2018, 16:19
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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

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31 Oct 2018, 18:23
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

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Re: 3^2*9^5 =   [#permalink] 31 Oct 2018, 18:23
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