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Popular >

simplify e^{-(t-pi/4)}

Solution

simplify

e^{- (t - \frac{π}{4})}

Solution

\frac{1}{e ^{\frac{4 t - π}{4}}}

Solution steps

e^{- (t - \frac{π}{4})}

Apply exponent rule:

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

= \frac{1}{e ^{(t - \frac{π}{4})}}

Remove parentheses:

(a) = a

= \frac{1}{e ^{t - \frac{π}{4}}}

e^{t - \frac{π}{4}} = e^{\frac{4 t - π}{4}}

= \frac{1}{e ^{\frac{t \cdot 4 - π}{4}}}

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Frequently Asked Questions (FAQ)

What is e^{-(t-pi/4)} ?
The solution to e^{-(t-pi/4)} is 1/(e^{\frac{4t-pi){4}}}