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

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

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

radical to exponent

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Apply exponent rule:

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

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

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

f (x) = e^{x} \cdot 6 e^{3 x - 1}

\frac{( x + 1 ) ^{p x}}{x ^{p x}}

0.7 \cdot 1 0^{- 5}

16 e^{- 1} \cdot (- 32) e^{- 1}

S b^{2} H g^{2} O^{7}

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