What is \sqrt[3]{(a^3+b^3)^2} ?

The solution to \sqrt[3]{(a^3+b^3)^2} is (a^3+b^3)^{2/3}

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simplify \sqrt[3]{(a^3+b^3)^2}

simplify

(a^{3} + b^{3})^{\frac{2}{3}}

Solution steps

Apply radical rule:

= ((a^{3} + b^{3})^{2})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (a^{3} + b^{3})^{2 \cdot \frac{1}{3}}

2 \cdot \frac{1}{3} = \frac{2}{3}

= (a^{3} + b^{3})^{\frac{2}{3}}

(7.2 \cdot 1 0^{- 3}) \cdot 1000

2.5 \cdot (5 \cdot 1 0^{- 3})

e^{- x} (2 e^{x} + e^{2 x})

8.66 \cdot 1 0^{- 4}

What is \sqrt[3]{(a^3+b^3)^2} ?
The solution to \sqrt[3]{(a^3+b^3)^2} is (a^3+b^3)^{2/3}