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

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

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exponent \sqrt[5]{(2x)^3}

radical to exponent

2^{\frac{3}{5}} x^{\frac{3}{5}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

= 2^{\frac{3}{5}} x^{\frac{3}{5}}

2^{x} x^{x}

e^{- \frac{5.6}{3}}

4.7081 x 1 0^{- 6}

e^{2 x} \cdot e^{y^{3}}

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