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Popular >

simplify \sqrt[3]{3^{3x+9}}

Solution

simplify

Solution

3^{x + 3}

Solution steps

Apply radical rule:

= (3^{3 x + 9})^{\frac{1}{3}}

Apply exponent rule:

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

= 3^{(3 x + 9) \frac{1}{3}}

Simplify

(3 x + 9) \frac{1}{3} : x + 3

= 3^{x + 3}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{3^{3x+9}} ?
The solution to \sqrt[3]{3^{3x+9}} is 3^{x+3}