What is (4-2(-2))e^{-2} ?

The solution to (4-2(-2))e^{-2} is 8/(e^2)

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simplify (4-2(-2))e^{-2}

simplify

(4 - 2 (- 2)) e^{- 2}

\frac{8}{e ^{2}}

Decimal Notation

1.08268 \dots

Solution steps

(4 - 2 (- 2)) e^{- 2}

Apply exponent rule:

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

= \frac{1}{e ^{2}} (4 - 2 (- 2))

Apply rule

- (- a) = a

= (4 + 2 \cdot 2) \frac{1}{e ^{2}}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{e ^{2}} (4 + 4)

Add the numbers:

4 + 4 = 8

= 8 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 8}{e ^{2}}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8}{e ^{2}}

(e^{- x})^{2} \cdot (- e^{x})

t^{n} e^{- s t}

((2^{1})^{2})^{3}

- e^{- s t} \cdot (- e^{- s t})

e^{- x} cos (2 t)