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Vlada [557]
3 years ago
15

Write 16t^1/5 in radical form​

Mathematics
1 answer:
nignag [31]3 years ago
7 0

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 16t^{\frac{1}{5}}\implies 16\sqrt[5]{t^1}\implies 16\sqrt[5]{t}

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Answer:

y=\frac{-3\pm\sqrt{4sin2x+1}}{2}

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Step-by-step explanation:

We are given that

y'=\frac{2cos2x}{3+2y}

y(0)=-1

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\int (3+2y)dy=2\int cos 2xdx

3y+y^2=sin2x+C

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\int x^n=\frac{x^{n+1}}{n+1}+C

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x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

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2x=\frac{\pi}{2}

x=\frac{\pi}{4}

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3 years ago
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