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K>1
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18 Aug 2020, 09:30
18 Aug 2020, 09:30
Expert Reply
00:00
Question Stats:
76% (00:21) correct
23% (00:30) wrong based on 46 sessions
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\(k>1\)
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.
Quantity A |
Quantity B |
\((k^4)^4\) |
\(k(k^3)^5\) |
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.
Re: K>1
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18 Aug 2020, 09:31
18 Aug 2020, 09:31
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Re: K>1
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18 Aug 2020, 11:55
18 Aug 2020, 11:55
This is an application of exponents properties.
(a^m)^n = a^(m*n)
a^m * a^n = a^(m+n)
We have A=(k^4)^4=k^(4*4)=k^16
and B=k(k^3)^5=k*k(3*5)=k^1 * k^15 = k^(1+15)=k^16
So the two quantities are equal.
(a^m)^n = a^(m*n)
a^m * a^n = a^(m+n)
We have A=(k^4)^4=k^(4*4)=k^16
and B=k(k^3)^5=k*k(3*5)=k^1 * k^15 = k^(1+15)=k^16
So the two quantities are equal.
