What is 40e^{-500(t-20)u(t-20)} ?

The solution to 40e^{-500(t-20)u(t-20)} is (40)/(e^{500u(t-20)^2)}

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simplify 40e^{-500(t-20)u(t-20)}

simplify

40 e^{- 500 (t - 20) u (t - 20)}

\frac{40}{e ^{500 u (t - 20)^{2}}}

Solution steps

40 e^{- 500 (t - 20) u (t - 20)}

Apply exponent rule:

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

= 40 \cdot \frac{1}{e ^{500 u (t - 20) (t - 20)}}

\frac{1}{e ^{500 (t - 20) u (t - 20)}} = \frac{1}{e ^{500 u (t - 20)^{2}}}

= 40 \cdot \frac{1}{e ^{500 u (t - 20)^{2}}}

Multiply fractions:

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

= \frac{1 \cdot 40}{e ^{500 u (t - 20)^{2}}}

Multiply the numbers:

1 \cdot 40 = 40

= \frac{40}{e ^{500 u (t - 20)^{2}}}

3 x^{2} y^{2} (4 y)

\frac{8}{100} \cdot e^{- 8}

- 1 - 1 - 1 - 1

e^{- 2 x^{2}} d x

What is 40e^{-500(t-20)u(t-20)} ?
The solution to 40e^{-500(t-20)u(t-20)} is (40)/(e^{500u(t-20)^2)}