What is simplify-5e^{-5t}*10t ?

The solution to simplify-5e^{-5t}*10t is -(50t)/(e^{5t)}

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simplify-5e^{-5t}*10t

simplify

- 5 e^{- 5 t} \cdot 10 t

- \frac{50 t}{e ^{5 t}}

Solution steps

- 5 e^{- 5 t} \cdot 10 t

Apply exponent rule:

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

= - 5 \cdot 10 \cdot \frac{1}{e ^{5 t}} t

Multiply fractions:

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

= - \frac{1 \cdot 5 \cdot 10 t}{e ^{5 t}}

Multiply the numbers:

1 \cdot 5 \cdot 10 = 50

= - \frac{50 t}{e ^{5 t}}

e^{1} \cdot e^{3}

5.2 x 1 0^{- 8}

(793.2 + 349.2) (2 - 7.8)^{- 2}

30 y^{2} y z

What is simplify-5e^{-5t}*10t ?
The solution to simplify-5e^{-5t}*10t is -(50t)/(e^{5t)}