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Which of the following is equal to x^k for all positi
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27 Aug 2018, 08:57
27 Aug 2018, 08:57
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Question Stats:
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Which of the following is equal to \(x^k\) for all positive values of x and k ?
A. \((x^\frac{k}{4})^\frac{3}{4}\)
B. \(\frac{x^k}{x^{2k}}\)
C. \(x^\frac{k}{2} + x^\frac{k}{2}\)
D. \((x^\frac{k}{2})^2\)
E. \((x^k)^k\)
A. \((x^\frac{k}{4})^\frac{3}{4}\)
B. \(\frac{x^k}{x^{2k}}\)
C. \(x^\frac{k}{2} + x^\frac{k}{2}\)
D. \((x^\frac{k}{2})^2\)
E. \((x^k)^k\)
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Which of the following is equal to x^k for all positi
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12 Apr 2019, 08:23
12 Apr 2019, 08:23
1
Carcass wrote:
Which of the following is equal to \(x^k\) for all positive values of x and k ?
A. \((x^\frac{k}{4})^\frac{3}{4}\)
B. \(\frac{x^k}{x^{2k}}\)
C. \(x^\frac{k}{2} + x^\frac{k}{2}\)
D. \((x^\frac{k}{2})^2\)
E. \((x^k)^k\)
A. \((x^\frac{k}{4})^\frac{3}{4}\)
B. \(\frac{x^k}{x^{2k}}\)
C. \(x^\frac{k}{2} + x^\frac{k}{2}\)
D. \((x^\frac{k}{2})^2\)
E. \((x^k)^k\)
A. \((x^\frac{k}{4})^\frac{3}{4}\)
Apply the Power of a Power law to get: \(x^3k\)
No good
B. \(\frac{x^k}{x^{2k}}\)
Apply the Quotient law to get: \(x^{-k}\)
No good
C. \(x^\frac{k}{2} + x^\frac{k}{2}\)
Doesn't simplify to be \(x^k\)
No good
D. \((x^\frac{k}{2})^2\)
Apply the Power of a Power law to get: \(x^k\)
PERFECT!
E. \((x^k)^k\)
Apply the Power of a Power law to get: \(x^{k^2}\)
No good
Answer: D
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gmatclubot
Which of the following is equal to x^k for all positi [#permalink]
12 Apr 2019, 08:23
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