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Popular >

simplify \sqrt[3]{2^{6x-3}}

Solution

simplify

3 2^{6 x - 3}

Solution

2^{2 x - 1}

Solution steps

3 2^{6 x - 3}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (2^{6 x - 3})^{\frac{1}{3}}

Apply exponent rule:

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

= 2^{(6 x - 3) \frac{1}{3}}

Simplify

(6 x - 3) \frac{1}{3} : 2 x - 1

= 2^{2 x - 1}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{2^{6x-3}} ?
The solution to \sqrt[3]{2^{6x-3}} is 2^{2x-1}