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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If (1/5)^m * (1/4)^18 = 1/(2*(10)^35), then m = ?
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06 Feb 2023, 22:00
06 Feb 2023, 22:00
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Question Stats:
94% (01:33) correct
5% (00:29) wrong based on 18 sessions
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If \((\frac{1}{5})^m * (\frac{1}{4})^{18} = \frac{1}{2*(10)^{35}}\), then m = ?
A. 17
B. 18
C. 34
D. 35
E. 36
A. 17
B. 18
C. 34
D. 35
E. 36
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: If (1/5)^m * (1/4)^18 = 1/(2*(10)^35), then m = ?
[#permalink]
08 Feb 2023, 20:58
08 Feb 2023, 20:58
Expert Reply
\(\frac{1}{5^m} * \frac{1}{4^{18}} = \frac{1}{2*10^{35}}\)
Reciprocal the complete equation; Get rid of the fraction
\(5^m * 2^{18*2} = 2 * 2^{35} * 5^{35}\)
\(5^m * 2^{36} = 2^{36} * 5^{35}\)
m = 35
Answer: D
Reciprocal the complete equation; Get rid of the fraction
\(5^m * 2^{18*2} = 2 * 2^{35} * 5^{35}\)
\(5^m * 2^{36} = 2^{36} * 5^{35}\)
m = 35
Answer: D
Re: If (1/5)^m * (1/4)^18 = 1/(2*(10)^35), then m = ?
[#permalink]
15 Aug 2025, 23:11
15 Aug 2025, 23:11
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