What is 80(4)e^{-0.5*4} ?

The solution to 80(4)e^{-0.5*4} is (320)/(e^2)

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simplify 80(4)e^{-0.5*4}

simplify

80 (4) e^{- 0.5 \cdot 4}

\frac{320}{e ^{2}}

Decimal Notation

43.30729 \dots

Solution steps

80 (4) e^{- 0.5 \cdot 4}

Apply exponent rule:

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

= 80 \cdot 4 \cdot \frac{1}{e ^{4 \cdot 0.5}}

Multiply the numbers:

0.5 \cdot 4 = 2

= 80 \cdot 4 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 80 \cdot 4}{e ^{2}}

Multiply the numbers:

1 \cdot 80 \cdot 4 = 320

= \frac{320}{e ^{2}}

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