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64^3 or 15^5

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Carcass
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64^3 or 15^5 [#permalink] New post   18 Jul 2022, 00:40
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Quantity A
Quantity B
\( 64^3\)
\(16^5\)



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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B
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GreenlightTestPrep
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64^3 or 15^5 [#permalink] New post   18 Jul 2022, 06:01
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Carcass wrote:
Quantity A
Quantity B
\( 64^3\)
\(16^5\)



The quickest approach here is to simply calculate each value with your on-screen calculator.

Alternatively, we can rewrite each power with the same base. In this case, 64 and 16 can be expressed as powers of 4 and then simplified (using the Power of a Power rule) to get:
QUANTITY A: \( 64^3 = (4^3)^3 = 4^9\)
QUANTITY B: \(16^5 = (4^2)^5 = 4^{10}\)

Answer: B

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64^3 or 15^5 [#permalink]
18 Jul 2022, 06:01
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