What is 50e^{-0.2(3)} ?

The solution to 50e^{-0.2(3)} is 27.44058…

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simplify 50e^{-0.2(3)}

simplify

50 e^{- 0.2 (3)}

27.44058 \dots

Solution steps

50 e^{- 0.2 (3)}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{3 \cdot 0.2}}

Multiply the numbers:

0.2 \cdot 3 = 0.6

= 50 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{0.6}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{50}{1.82211 \dots}

Divide the numbers:

\frac{50}{1.82211 \dots} = 27.44058 \dots

= 27.44058 \dots

\frac{e ^{2 x}}{e ^{2 x}}

e^{(- 2 l n (x))}

4 \cdot π \cdot 8.85 \cdot 1 0^{- 12}

3 x e^{- 2 x}