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

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

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simplify 1/2 (cos(x))^{-1/2}

simplify

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

\frac{1}{2 cos ^{\frac{1}{2}} ( x )}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 cos ^{\frac{1}{2}} ( x )}

v^{(- 2)} (2 v^{(4)} + 3 v^{(2)} - 2 v^{(- 3)})

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

e^{(- 3 \cdot 3)} \cdot (- 4 \cdot (3) - 16)

6 x (4 x^{2})

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