What is simplify-10e^{-0.2(20-3)} ?

The solution to simplify-10e^{-0.2(20-3)} is -0.33373…

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simplify-10e^{-0.2(20-3)}

simplify

- 10 e^{- 0.2 (20 - 3)}

- 0.33373 \dots

Solution steps

- 10 e^{- 0.2 (20 - 3)}

Apply exponent rule:

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

= - 10 \cdot \frac{1}{e ^{0.2 (20 - 3)}}

e^{0.2 (20 - 3)} = e^{3.4}

= - 10 \cdot \frac{1}{e ^{3.4}}

Multiply fractions:

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

= - \frac{1 \cdot 10}{e ^{3.4}}

Multiply the numbers:

1 \cdot 10 = 10

= - \frac{10}{e ^{3.4}}

Simplify

\frac{10}{e ^{3.4}} : 0.33373 \dots

= - 0.33373 \dots

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What is simplify-10e^{-0.2(20-3)} ?
The solution to simplify-10e^{-0.2(20-3)} is -0.33373…