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(sqrt3)^20 or (3sqrt9)^15

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(sqrt3)^20 or (3sqrt9)^15 [#permalink] New post   11 Aug 2022, 09:43
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63% (00:44) correct 36% (00:45) wrong based on 19 sessions

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Quantity A
Quantity B
\([\sqrt{3} ]^{20}\)
\([ \sqrt[3]{9}]^{15}\)




A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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C
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PatrickBotchwey
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Re: (sqrt3)^20 or (3sqrt9)^15 [#permalink] New post   11 Aug 2022, 10:01
How is this C
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Re: (sqrt3)^20 or (3sqrt9)^15 [#permalink] New post   11 Aug 2022, 10:54
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PatrickBotchwey wrote:
How is this C


Fixed the first quantity. It was under root.

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(sqrt3)^20 or (3sqrt9)^15 [#permalink] New post   11 Aug 2022, 10:57
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Quantity A

\((\sqrt{3})^{20}\)\(= 3^{10}\)


Quantity B


\([ \sqrt[3]{9}]^{15}\)\(= (\sqrt{9})^{\frac{15}{3}}=(3^2)^5=3^{10}\)


C is the answer
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(sqrt3)^20 or (3sqrt9)^15 [#permalink]
11 Aug 2022, 10:57
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