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Popular >

simplify \sqrt[x^3]{x^7}

Solution

simplify

Solution

x^{\frac{7}{x ^{3}}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

= x^{7 \cdot \frac{1}{x ^{3}}}

Simplify

7 \cdot \frac{1}{x ^{3}} : \frac{7}{x ^{3}}

= x^{\frac{7}{x ^{3}}}

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Frequently Asked Questions (FAQ)

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