What is 20e^{-2}(0.5) ?

The solution to 20e^{-2}(0.5) is 1.35335…

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simplify 20e^{-2}(0.5)

simplify

20 e^{- 2} (0.5)

1.35335 \dots

Solution steps

20 e^{- 2} (0.5)

Apply exponent rule:

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

= 20 \cdot 0.5 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= 0.5 \cdot \frac{1 \cdot 20}{e ^{2}}

Multiply the numbers:

1 \cdot 20 = 20

= 0.5 \cdot \frac{20}{e ^{2}}

Multiply fractions:

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

= \frac{20 \cdot 0.5}{e ^{2}}

Multiply the numbers:

20 \cdot 0.5 = 10

= \frac{10}{e ^{2}}

Convert element to a decimal form

e^{2} = 7.38905 \dots

= \frac{10}{7.38905 \dots}

Divide the numbers:

\frac{10}{7.38905 \dots} = 1.35335 \dots

= 1.35335 \dots

(3 a^{5}) (2 a^{7})

I n (e^{(- x)})

e^{8 x} \cdot (e^{- 4 x})

e^{- 2 s x} \cdot \frac{1}{s - 3}