What is 1000*e^{-0.5x} ?

The solution to 1000*e^{-0.5x} is (1000)/(e^{0.5x)}

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simplify 1000*e^{-0.5x}

simplify

1000 \cdot e^{- 0.5 x}

\frac{1000}{e ^{0.5 x}}

Solution steps

1000 e^{- 0.5 x}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{e ^{0.5 x}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{e ^{0.5 x}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{e ^{0.5 x}}

e^{- 5} \cdot e^{x^{2}}

(7 a) (5 a^{7})