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If 2^15*25^8
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25 Jul 2020, 09:49
25 Jul 2020, 09:49
Expert Reply
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Question Stats:
88% (00:33) correct
11% (01:50) wrong based on 17 sessions
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If \((2^{15})(25^8)=5(10^m)\), what is the value of \(m\) ?
A. 7
B. 8
C. 15
D. 16
E. 23
A. 7
B. 8
C. 15
D. 16
E. 23
Intern
Joined: 25 Jul 2020
Posts: 38
Given Kudos: 0
GRE 1: Q170 V157
Re: If 2^15*25^8
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Updated on: 25 Jul 2020, 14:16
Updated on: 25 Jul 2020, 14:16
\((2^{15})(25^8) = (2^{15})(5^8)(5^8) = (10^8)(2^7)(5^8) = (10^{15})*5 \rightarrow m = 15.\)
Originally posted by Leaderboard on 25 Jul 2020, 11:01.
Last edited by Leaderboard on 25 Jul 2020, 14:16, edited 3 times in total.
Last edited by Leaderboard on 25 Jul 2020, 14:16, edited 3 times in total.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 2^15*25^8
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25 Jul 2020, 11:07
25 Jul 2020, 11:07
Carcass wrote:
If \((2^{15})(25^8)=5(10^m)\), what is the value of \(m\) ?
A. 7
B. 8
C. 15
D. 16
E. 23
A. 7
B. 8
C. 15
D. 16
E. 23
Another approach is to focus solely on the 2's
The left side of the equation features the product of 15 2's
On the right side of the equation, the 2's must be hiding in 10^m
So, m must equal 15
Answer: C
Cheers,
Brent
