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Popular >

simplify \sqrt[3]{2^{9^x}}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

= (2^{9^{x}})^{\frac{1}{3}}

Apply exponent rule:

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

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

Simplify

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

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

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

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

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Frequently Asked Questions (FAQ)

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