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Popular >

expand (sqrt(1-x^2))^3

Solution

expand

(1 - x^{2})^{3}

Solution

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

Solution steps

(1 - x^{2})^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

What is expand (sqrt(1-x^2))^3 ?
The solution to expand (sqrt(1-x^2))^3 is (1-x^2)^{3/2}