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Popular >

simplify \sqrt[x]{x^3}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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