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Popular >

simplify \sqrt[6]{(2x)^5}

Solution

simplify

Solution

2^{\frac{5}{6}} x^{\frac{5}{6}}

Solution steps

Apply radical rule:

= ((2 x)^{5})^{\frac{1}{6}}

Apply exponent rule:

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

assuming

a \geq 0

= (2 x)^{5 \cdot \frac{1}{6}}

5 \cdot \frac{1}{6} = \frac{5}{6}

= (2 x)^{\frac{5}{6}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 2^{\frac{5}{6}} x^{\frac{5}{6}}

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{(2x)^5} ?
The solution to \sqrt[6]{(2x)^5} is 2^{5/6}x^{5/6}