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If x^4=y^16, then y=

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If x^4=y^16, then y= [#permalink] New post   07 Oct 2022, 01:25
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If \(x^4=y^{16}\), then \(y=
\)

A. \(\sqrt[4]{x}\)

B. \(\sqrt{x}\)

C. \(x^2\)

D. \(x^4\)

E. \(x^{12}\)


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A
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If x^4=y^16, then y= [#permalink] New post   07 Oct 2022, 10:14
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Given that \(x^4=y^{16}\) and we need to find the value of y

\(x^4=y^{16}\) => \(y^{16}=x^4\)

Raising both the sides to the power of \(\frac{1}{16}\) we get

\(y^{\frac{16}{16}}=x^{\frac{4}{16}}\)

=> \(y^1=x^{\frac{1}{4}}\)

=> y = \(\sqrt[4]{x}\)

So, Answer will be A
Hope it helps!

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If x^4=y^16, then y= [#permalink]
07 Oct 2022, 10:14
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