What is 20e^{-2(0.3)} ?

The solution to 20e^{-2(0.3)} is 10.97623…

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simplify 20e^{-2(0.3)}

simplify

20 e^{- 2 (0.3)}

10.97623 \dots

Solution steps

20 e^{- 2 (0.3)}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{2 \cdot 0.3}}

Multiply the numbers:

2 \cdot 0.3 = 0.6

= 20 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{0.6}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{20}{1.82211 \dots}

Divide the numbers:

\frac{20}{1.82211 \dots} = 10.97623 \dots

= 10.97623 \dots

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