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Popular >

simplify (sqrt(1-x^2))^4

Solution

simplify

(1 - x^{2})^{4}

Solution

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

Solution steps

(1 - x^{2})^{4}

Rewrite

4

as

2 \cdot 2

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

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

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

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Frequently Asked Questions (FAQ)

What is (sqrt(1-x^2))^4 ?
The solution to (sqrt(1-x^2))^4 is (1-x^2)^2