simplify 40e^{-1.2}

Solution

simplify

40 e^{- 1.2}

12.04776 \dots

Solution steps

40 e^{- 1.2}

Apply exponent rule:

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

= 40 \cdot \frac{1}{e ^{1.2}}

Multiply fractions:

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

= \frac{1 \cdot 40}{e ^{1.2}}

Multiply the numbers:

1 \cdot 40 = 40

= \frac{40}{e ^{1.2}}

e^{1.2} = 3.32011 \dots

= \frac{40}{3.32011 \dots}

Divide the numbers:

\frac{40}{3.32011 \dots} = 12.04776 \dots

= 12.04776 \dots

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