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What is the value of
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20 Feb 2021, 05:58
20 Feb 2021, 05:58
Expert Reply
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Question Stats:
90% (00:37) correct
9% (00:15) wrong based on 32 sessions
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What is the value of \(5^{\frac{1}{5}} * 5^{\frac{2}{5}} * 5^{\frac{3}{5}} * 5^{\frac{4}{5}}\) ?
A. \(\sqrt{5}\)
B. 5
C. \(5\sqrt{5}\)
D. 25
E. \(25\sqrt{5}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. \(\sqrt{5}\)
B. 5
C. \(5\sqrt{5}\)
D. 25
E. \(25\sqrt{5}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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What is the value of
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20 Feb 2021, 07:05
20 Feb 2021, 07:05
1
Carcass wrote:
What is the value of \(5^{\frac{1}{5}} \times 5^{\frac{2}{5}} \times 5^{\frac{3}{5}} \times 5^{\frac{4}{5}}\) ?
A. \(\sqrt{5}\)
B. 5
C. \(5\sqrt{5}\)
D. 25
E. \(25\sqrt{5}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. \(\sqrt{5}\)
B. 5
C. \(5\sqrt{5}\)
D. 25
E. \(25\sqrt{5}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Product Law: \((b^x)(b^y) = b^{x+y}\)
So, \(5^{\frac{1}{5}} \times 5^{\frac{2}{5}} \times 5^{\frac{3}{5}} \times 5^{\frac{4}{5}}=5^{(\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5})}\)
\(= 5^{\frac{10}{5}}\)
\(= 5^{2}\)
\(= 25\)
Answer: D
Re: What is the value of
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20 Feb 2021, 07:08
20 Feb 2021, 07:08
Solution:
5^\(\frac{1}{5}\)+\(\frac{2}{5}\)+\(\frac{3}{5}\)+\(\frac{4}{5}\)
i.e. \(\frac{1}{5}\)+\(\frac{2}{5}\)+\(\frac{3}{5}\)+\(\frac{4}{5}\)= \(\frac{10}{5 }\)=2
Thus \(5^2\)=25
IMO D
Hope this helps!
5^\(\frac{1}{5}\)+\(\frac{2}{5}\)+\(\frac{3}{5}\)+\(\frac{4}{5}\)
i.e. \(\frac{1}{5}\)+\(\frac{2}{5}\)+\(\frac{3}{5}\)+\(\frac{4}{5}\)= \(\frac{10}{5 }\)=2
Thus \(5^2\)=25
IMO D
Hope this helps!
