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If x^4=y^16, then y=
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07 Oct 2022, 01:25
07 Oct 2022, 01:25
Expert Reply
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Question Stats:
81% (00:50) correct
18% (01:08) wrong based on 11 sessions
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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. \(x^{12}\)
\)
A. \(\sqrt[4]{x}\)
B. \(\sqrt{x}\)
C. \(x^2\)
D. \(x^4\)
E. \(x^{12}\)
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GRE Math Essentials (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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If x^4=y^16, then y=
[#permalink]
07 Oct 2022, 10:14
07 Oct 2022, 10:14
1
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!
Watch the following video to learn the Basics of Exponents
\(x^4=y^{16}\) => \(y^{16}=x^4\)
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!
Watch the following video to learn the Basics of Exponents
gmatclubot
If x^4=y^16, then y= [#permalink]
07 Oct 2022, 10:14
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