What is (e^{-3}f^4)^{-1/2} ?

The solution to (e^{-3}f^4)^{-1/2} is (e^{3/2})/(f^2)

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simplify (e^{-3}f^4)^{-1/2}

simplify

(e^{- 3} f^{4})^{- \frac{1}{2}}

\frac{e ^{\frac{3}{2}}}{f ^{2}}

Solution steps

(e^{- 3} f^{4})^{- \frac{1}{2}}

Apply exponent rule:

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

= \frac{1}{( e ^{- 3} f ^{4} ) ^{\frac{1}{2}}}

(e^{- 3} f^{4})^{\frac{1}{2}} = \frac{f ^{2}}{e ^{\frac{3}{2}}}

= \frac{1}{\frac{f ^{2}}{e ^{\frac{3}{2}}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{e ^{\frac{3}{2}}}{f ^{2}}

e^{- a t} \cdot cos (b t)

\frac{x ^{2 - b}}{x ^{2 + 8 x + 15}}

(- 1)^{79}

e^{- 3 x} (e^{- 3 x})

What is (e^{-3}f^4)^{-1/2} ?
The solution to (e^{-3}f^4)^{-1/2} is (e^{3/2})/(f^2)