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Popular >

simplify \sqrt[6]{3^x}

Solution

simplify

Solution

3^{\frac{x}{6}}

Solution steps

Apply radical rule:

= (3^{x})^{\frac{1}{6}}

Apply exponent rule:

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

= 3^{x \frac{1}{6}}

Simplify

x \frac{1}{6} : \frac{x}{6}

= 3^{\frac{x}{6}}

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{3^x} ?
The solution to \sqrt[6]{3^x} is 3^{x/6}