What is (10t+2e^t)(e^{-5t}) ?

The solution to (10t+2e^t)(e^{-5t}) is (10t+2e^t)/(e^{5t)}

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simplify (10t+2e^t)(e^{-5t})

simplify

(10 t + 2 e^{t}) (e^{- 5 t})

\frac{10 t + 2 e ^{t}}{e ^{5 t}}

Solution steps

(10 t + 2 e^{t}) (e^{- 5 t})

Apply exponent rule:

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

= \frac{1}{e ^{5 t}} (10 t + 2 e^{t})

Multiply fractions:

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

= \frac{1 \cdot ( 10 t + 2 e ^{t} )}{e ^{5 t}}

1 \cdot (10 t + 2 e^{t}) = 10 t + 2 e^{t}

= \frac{10 t + 2 e ^{t}}{e ^{5 t}}

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

\frac{2 - ( - 1 )}{- 1}

(16 \cdot 1 0^{- 9}) (115384.61)

e^{- \frac{24.33333333}{8750}}

27 x

What is (10t+2e^t)(e^{-5t}) ?
The solution to (10t+2e^t)(e^{-5t}) is (10t+2e^t)/(e^{5t)}