What is \sqrt[(x^3)/4 ]{y^{16}} ?

The solution to \sqrt[(x^3)/4 ]{y^{16}} is y^{(64)/(x^3)}

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simplify \sqrt[(x^3)/4 ]{y^{16}}

simplify

y^{\frac{64}{x ^{3}}}

Solution steps

Apply radical rule:

= (y^{16})^{\frac{1}{\frac{x ^{3}}{4}}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= y^{16 \cdot \frac{1}{\frac{x ^{3}}{4}}}

Simplify

16 \cdot \frac{1}{\frac{x ^{3}}{4}} : \frac{64}{x ^{3}}

= y^{\frac{64}{x ^{3}}}

(+ 3 z^{2}) (+ 4 z)

e^{- 3 t} t^{3}

(1.72 \cdot 1 0^{- 8}) (\frac{100}{\frac{2.5}{1000}})

e^{- 3 t} t^{2}

293 (1 + \frac{0.4}{2} (0.654)^{2})^{- 1}

What is \sqrt[(x^3)/4 ]{y^{16}} ?
The solution to \sqrt[(x^3)/4 ]{y^{16}} is y^{(64)/(x^3)}