What is 20e^{-0.5(4)} ?

The solution to 20e^{-0.5(4)} is (20)/(e^2)

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simplify 20e^{-0.5(4)}

simplify

20 e^{- 0.5 (4)}

\frac{20}{e ^{2}}

Decimal Notation

2.70670 \dots

Solution steps

20 e^{- 0.5 (4)}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{4 \cdot 0.5}}

Multiply the numbers:

0.5 \cdot 4 = 2

= 20 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{2}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{2}}

e^{- 23.26}

3 x \cdot x

\frac{x ^{a}}{y ^{a}}