What is 3e^{-3}(1+(-3)) ?

The solution to 3e^{-3}(1+(-3)) is -6/(e^3)

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simplify 3e^{-3}(1+(-3))

simplify

3 e^{- 3} (1 + (- 3))

- \frac{6}{e ^{3}}

Decimal Notation

- 0.29872 \dots

Solution steps

3 e^{- 3} (1 + (- 3))

Apply exponent rule:

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

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

Subtract the numbers:

1 - 3 = - 2

= 3 (- 2) \frac{1}{e ^{3}}

Remove parentheses:

(- a) = - a

= - 3 \cdot \frac{1}{e ^{3}} \cdot 2

Multiply fractions:

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

= - \frac{1 \cdot 3 \cdot 2}{e ^{3}}

Multiply the numbers:

1 \cdot 3 \cdot 2 = 6

= - \frac{6}{e ^{3}}

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