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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
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200^200*40^40/(20^20*400^400) =
[#permalink]
09 Jul 2021, 07:51
09 Jul 2021, 07:51
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\(\frac{200^{200} 40^{40}}{20^{20}400^{400}}=\)
A. \(\frac{1}{2^{920}5^{380}}\)
B. \(\frac{1}{2^{240}5^{240}}\)
C. \(\frac{1}{2^{180}5^{180}}\)
D. \(1\)
E. \(2^{180}5^{180}\)
A. \(\frac{1}{2^{920}5^{380}}\)
B. \(\frac{1}{2^{240}5^{240}}\)
C. \(\frac{1}{2^{180}5^{180}}\)
D. \(1\)
E. \(2^{180}5^{180}\)
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200^200*40^40/(20^20*400^400) =
[#permalink]
10 Jul 2021, 22:59
10 Jul 2021, 22:59
3
GeminiHeat wrote:
\(\frac{200^{200} 40^{40}}{20^{20}400^{400}}=\)
A. \(\frac{1}{2^{920}5^{380}}\)
B. \(\frac{1}{2^{240}5^{240}}\)
C. \(\frac{1}{2^{180}5^{180}}\)
D. \(1\)
E. \(2^{180}5^{180}\)
A. \(\frac{1}{2^{920}5^{380}}\)
B. \(\frac{1}{2^{240}5^{240}}\)
C. \(\frac{1}{2^{180}5^{180}}\)
D. \(1\)
E. \(2^{180}5^{180}\)
\(\frac{(2^35^2)^{200}(2^35)^{40}}{(2^25)^{20}(2^45^2)^{400}}\)
= \(\frac{(2^3)^{200}(5^2)^{200}(2^3)^{40}(5)^{40}}{(2^2)^{20}(5)^{20}(2^4)^{400}(5^2)^{400}}\)
= \(\frac{(2)^{600}(5)^{400}(2)^{120}(5)^{40}}{(2)^{40}(5)^{20}(2)^{1600}(5)^{800}}\)
= \(\frac{(2)^{720}(5)^{440}}{(2)^{1640}(5)^{820}}\)
= \(\frac{(2)^{720}(5)^{440}}{(2)^{1640}(5)^{820}}\)
= \(\frac{1}{(2)^{920}(5)^{380}}\)
Hence, option A
gmatclubot
200^200*40^40/(20^20*400^400) = [#permalink]
10 Jul 2021, 22:59
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