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# What is the value of 8^3*32^2*16^(-4)?

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Math Expert
Joined: 02 Sep 2009
Posts: 60646
What is the value of 8^3*32^2*16^(-4)?  [#permalink]

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01 Apr 2016, 04:00
1
2
00:00

Difficulty:

5% (low)

Question Stats:

83% (01:16) correct 17% (01:52) wrong based on 144 sessions

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What is the value of $$8^3*32^2*16^{(-4)}$$?

A. 1/8
B. 1/2
C. 2
D. 8
E. 8^3

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Intern
Joined: 26 Nov 2015
Posts: 28
Re: What is the value of 8^3*32^2*16^(-4)?  [#permalink]

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01 Apr 2016, 04:17
1
Bunuel wrote:
What is the value of $$8^3*32^2*16^{(-4)}$$?

A. 1/8
B. 1/2
C. 2
D. 8
E. 8^3

Every number is some number raise to power 2, So life is easy in this case

8^3= 2^9
32 ^2 = 2^10
(16)^-4 = 2 ^(-16)

So add power adds when their base is same in case of multiplication

so 9+10-16 = 3

so answer is 2^3 = 8

D
Intern
Joined: 17 May 2018
Posts: 2
Re: What is the value of 8^3*32^2*16^(-4)?  [#permalink]

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23 Oct 2018, 06:56
8^3 = 512

the above equation can be written as

512 * 32 * 32 * 1/16^4

by simplifying, we get,
2*2*2*1 = 8

hope this helps.

best regards
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9143
Location: United States (CA)
Re: What is the value of 8^3*32^2*16^(-4)?  [#permalink]

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25 Oct 2018, 09:22
Bunuel wrote:
What is the value of $$8^3*32^2*16^{(-4)}$$?

A. 1/8
B. 1/2
C. 2
D. 8
E. 8^3

Let’s re-express each number with a base of 2; thus, 8^3 = (2^3)^3 = 2^9. We see that 32^2 = (2^5)^2 = 2^10, and 16^-4 = (2^4)^-4 = 2^-16. Thus, we have:

2^9 x 2^10 x 2^-16

2^(9 + 10 - 16) = 2^3 = 8

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Re: What is the value of 8^3*32^2*16^(-4)?   [#permalink] 25 Oct 2018, 09:22
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