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Popular >

simplify 6t*e^{-t}

Solution

simplify

6 t \cdot e^{- t}

Solution

\frac{6 t}{e ^{t}}

Solution steps

6 t e^{- t}

Apply exponent rule:

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

= 6 \cdot \frac{1}{e ^{t}} t

Multiply fractions:

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

= \frac{1 \cdot 6 t}{e ^{t}}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6 t}{e ^{t}}

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Frequently Asked Questions (FAQ)

What is 6t*e^{-t} ?
The solution to 6t*e^{-t} is (6t)/(e^t)