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(3^3)^2 15^3
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13 Jan 2023, 06:24
13 Jan 2023, 06:24
Expert Reply
00:00
Question Stats:
63% (00:55) correct
36% (01:01) wrong based on 11 sessions
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Quantity A |
Quantity B |
\(\frac{(3^3)^2 * 15^3}{5^3}\) |
\(3^8\) |
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: (3^3)^2 15^3
[#permalink]
14 Jan 2023, 22:16
14 Jan 2023, 22:16
1
Quantity A
\(\frac{(3^3)^2 * 15^3}{5^3}\) = \(\frac{3^{3*2} * (3*5)^3}{5^3}\) = \(\frac{3^6 * 3^3 *5^3}{5^3}\) = \(3^{6+3}\) = \(3^9\)
Clearly, Quantity A(\(3^9\)) > Quantity B(\(3^8\))
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Exponents
\(\frac{(3^3)^2 * 15^3}{5^3}\) = \(\frac{3^{3*2} * (3*5)^3}{5^3}\) = \(\frac{3^6 * 3^3 *5^3}{5^3}\) = \(3^{6+3}\) = \(3^9\)
Clearly, Quantity A(\(3^9\)) > Quantity B(\(3^8\))
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Exponents
gmatclubot
Re: (3^3)^2 15^3 [#permalink]
14 Jan 2023, 22:16
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