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Popular >

simplify \sqrt[3]{8^x}

Solution

simplify

Solution

2^{x}

Solution steps

Apply radical rule:

= (8^{x})^{\frac{1}{3}}

Apply exponent rule:

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

= 8^{x \frac{1}{3}}

Simplify

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

= 8^{\frac{x}{3}}

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

(2^{3})^{\frac{x}{3}} = 2^{3 \cdot \frac{x}{3}} = 2^{x}

= 2^{x}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{8^x} ?
The solution to \sqrt[3]{8^x} is 2^x