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Popular >

simplify \sqrt[3]{5^{2x}}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

Simplify

2 x \frac{1}{3} : \frac{2 x}{3}

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

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Frequently Asked Questions (FAQ)

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