What is \sqrt[5]{(x^2+y^3)^3} ?

The solution to \sqrt[5]{(x^2+y^3)^3} is (x^2+y^3)^{3/5}

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simplify \sqrt[5]{(x^2+y^3)^3}

simplify

(x^{2} + y^{3})^{\frac{3}{5}}

Solution steps

Apply radical rule:

= ((x^{2} + y^{3})^{3})^{\frac{1}{5}}

Apply exponent rule:

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

assuming

a \geq 0

= (x^{2} + y^{3})^{3 \cdot \frac{1}{5}}

3 \cdot \frac{1}{5} = \frac{3}{5}

= (x^{2} + y^{3})^{\frac{3}{5}}

(272) (410)^{- 0.995}

(4 x)^{\circ} (3 x + 10)^{\circ} (2 x)^{\circ} (x + 20)^{\circ}

4 e^{- 2 \cdot 4}

6.421 \cdot 1 0^{- 5} (\frac{1}{0.3048})^{2}

What is \sqrt[5]{(x^2+y^3)^3} ?
The solution to \sqrt[5]{(x^2+y^3)^3} is (x^2+y^3)^{3/5}