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Popular >

simplify Be^{-1/a e^{-at}}

Solution

simplify

B e^{- \frac{1}{a} e^{- a t}}

Solution

\frac{B}{e ^{\frac{e ^{- a t}}{a}}}

Solution steps

B e^{- \frac{1}{a} e^{- a t}}

Apply exponent rule:

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

= \frac{1}{e ^{e^{- a t} \frac{1}{a}}} B

\frac{1}{e ^{\frac{1}{a} e^{- a t}}} = \frac{1}{e ^{\frac{e ^{- a t}}{a}}}

= \frac{1}{e ^{\frac{e ^{- a t}}{a}}} B

Multiply fractions:

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

= \frac{1 \cdot B}{e ^{\frac{e ^{- a t}}{a}}}

Multiply:

1 \cdot B = B

= \frac{B}{e ^{\frac{e ^{- a t}}{a}}}

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Frequently Asked Questions (FAQ)

What is Be^{-1/a e^{-at}} ?
The solution to Be^{-1/a e^{-at}} is B/(e^{(e^{-at))/a}}