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Popular >

simplify e^{-(n-1)t}e^{-t}

Solution

simplify

e^{- (n - 1) t} e^{- t}

Solution

e^{- n t}

Solution steps

e^{- (n - 1) t} e^{- t}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- (n - 1) t} e^{- t} = e^{- t (n - 1) - t}

= e^{- (n - 1) t - t}

Expand

- (n - 1) t - t : - n t

= e^{- n t}

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Frequently Asked Questions (FAQ)

What is e^{-(n-1)t}e^{-t} ?
The solution to e^{-(n-1)t}e^{-t} is e^{-nt}