What is (e^{-t})/((e^{-t))^{1/2}} ?

The solution to (e^{-t})/((e^{-t))^{1/2}} is 1/(e^{t/2)}

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simplify (e^{-t})/((e^{-t))^{1/2}}

simplify

\frac{e ^{- t}}{( e ^{- t} ) ^{\frac{1}{2}}}

\frac{1}{e ^{\frac{t}{2}}}

Solution steps

\frac{e ^{- t}}{( e ^{- t} ) ^{\frac{1}{2}}}

Simplify

(e^{- t})^{\frac{1}{2}} : e^{- \frac{t}{2}}

= \frac{e ^{- t}}{e ^{- \frac{t}{2}}}

Cancel

\frac{e ^{- t}}{e ^{- \frac{t}{2}}} : \frac{1}{e ^{\frac{t}{2}}}

= \frac{1}{e ^{\frac{t}{2}}}

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