What is (sqrt(1-sin^2(x)))^3 ?

The solution to (sqrt(1-sin^2(x)))^3 is (-sin^2(x)+1)^{3/2}

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simplify (sqrt(1-sin^2(x)))^3

simplify

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

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

Solution steps

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

Apply radical rule:

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

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

Apply exponent rule:

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

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

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

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

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

0.16 \cdot 1 0^{- 6}

f (x) ln (5) x^{2}

e^{- 3 x} (1 + 3 e^{- x})^{5}

2.45 \cdot 1 0^{- 6}

e^{- 2.76}

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