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4^2^3-4^3

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4^2^3-4^3 [#permalink] New post  07 Jan 2023, 04:23
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Question Stats:

50% (00:36) correct 50% (01:01) wrong based on 8 sessions

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Quantity A
Quantity B
\([ 4^2]^3-4^3\)
\([4^3]^2-4^2\)



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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D
Carcass
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Re: 4^2^3-4^3 [#permalink] New post  31 Jan 2023, 12:18
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OE


Compare, don't calculate! When a power is raised to another power, the exponents are multiplied. Thus: (4^2)^3 = 4^6 and (4^3)^2 = 4^6. You can subtract 4^6 from both sides so that the comparison boils down to:

A=-4^3

B=-4^2

B > A
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