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Popular >

simplify \sqrt[3]{5}^{9^x}

Solution

simplify

Solution

5^{3^{2 x - 1}}

Solution steps

Apply radical rule:

= (5^{\frac{1}{3}})^{9^{x}}

Apply exponent rule:

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

= 5^{\frac{1}{3} \cdot 9^{x}}

Simplify

\frac{1}{3} \cdot 9^{x} : \frac{9 ^{x}}{3}

= 5^{\frac{9 ^{x}}{3}}

\frac{9 ^{x}}{3} = 3^{2 x - 1}

= 5^{3^{2 x - 1}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{5}^{9^x} ?
The solution to \sqrt[3]{5}^{9^x} is 5^{3^{2x-1}}