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Popular >

simplify 10t*e^{-5t}

Solution

simplify

10 t \cdot e^{- 5 t}

Solution

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

Solution steps

10 t e^{- 5 t}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 10 = 10

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

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Frequently Asked Questions (FAQ)

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