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Popular >

simplify sqrt(3x)^{1/3}

Solution

simplify

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

Solution

3^{\frac{1}{6}} x^{\frac{1}{6}}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

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

\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}

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

Apply exponent rule:

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

= 3^{\frac{1}{6}} x^{\frac{1}{6}}

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Frequently Asked Questions (FAQ)

What is sqrt(3x)^{1/3} ?
The solution to sqrt(3x)^{1/3} is 3^{1/6}x^{1/6}