What is ((1-sin(x))^{-1/2})^3 ?

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

(3 - - 4)^{- 1}

(4 x^{2} y) (2 x^{2} y^{3})

3000000 (1 + 0.12)^{- 5}

2.4 \times 1 0^{- 3}

e^{- \frac{t}{RC}}

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