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Popular >

simplify \sqrt[3]{(9-x^2)^2}

Solution

simplify

Solution

(- x^{2} + 9)^{\frac{2}{3}}

Solution steps

Apply radical rule:

= ((9 - x^{2})^{2})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (9 - x^{2})^{2 \cdot \frac{1}{3}}

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

= (9 - x^{2})^{\frac{2}{3}}

= (- x^{2} + 9)^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{(9-x^2)^2} ?
The solution to \sqrt[3]{(9-x^2)^2} is (-x^2+9)^{2/3}