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Popular >

simplify \sqrt[7]{2^{3x-1}}

Solution

simplify

Solution

2^{\frac{3 x - 1}{7}}

Solution steps

Apply radical rule:

= (2^{3 x - 1})^{\frac{1}{7}}

Apply exponent rule:

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

= 2^{(3 x - 1) \frac{1}{7}}

Simplify

(3 x - 1) \frac{1}{7} : \frac{3 x - 1}{7}

= 2^{\frac{3 x - 1}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[7]{2^{3x-1}} ?
The solution to \sqrt[7]{2^{3x-1}} is 2^{(3x-1)/7}