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Popular >

simplify 20e^{-5000t}

Solution

simplify

20 e^{- 5000 t}

Solution

\frac{20}{e ^{5000 t}}

Solution steps

20 e^{- 5000 t}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{5000 t}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{5000 t}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{5000 t}}

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Frequently Asked Questions (FAQ)

What is 20e^{-5000t} ?
The solution to 20e^{-5000t} is (20)/(e^{5000t)}