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Popular >

simplify \sqrt[x]{x^4}

Solution

simplify

Solution

x^{\frac{4}{x}}

Solution steps

Apply radical rule:

= (x^{4})^{\frac{1}{x}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{4 \cdot \frac{1}{x}}

Simplify

4 \cdot \frac{1}{x} : \frac{4}{x}

= x^{\frac{4}{x}}

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Frequently Asked Questions (FAQ)

What is \sqrt[x]{x^4} ?
The solution to \sqrt[x]{x^4} is x^{4/x}