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K>1

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K>1 [#permalink] New post   18 Aug 2020, 09:30
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76% (00:21) correct 23% (00:30) wrong based on 46 sessions

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\(k>1\)


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.
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Re: K>1 [#permalink] New post   18 Aug 2020, 09:31
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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Re: K>1 [#permalink] New post   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.
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Re: K>1 [#permalink] New post   24 May 2021, 03:54
Have to use the THE VERY FUNDAMENTAL RULE IN ALGEBRA, PEDMAS. Parenthesis first followed by exponent.
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Re: K>1 [#permalink]
24 May 2021, 03:54
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