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4^2^3-4^3
[#permalink]
07 Jan 2023, 04:23
07 Jan 2023, 04:23
Expert Reply
00:00
Question Stats:
76% (00:48) correct
24% (00:57) wrong based on 50 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.
Re: 4^2^3-4^3
[#permalink]
31 Jan 2023, 12:18
31 Jan 2023, 12:18
Expert Reply
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
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
Re: 4^2^3-4^3
[#permalink]
05 Sep 2026, 06:08
05 Sep 2026, 06:08
Simple, subtract 4^6 from both sides, and then you are left with
-4^3 and -4^2
Hence B.
-4^3 and -4^2
Hence B.
