What is 80e^{-0.0123(2)} ?

The solution to 80e^{-0.0123(2)} is 78.05600…

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simplify 80e^{-0.0123(2)}

simplify

80 e^{- 0.0123 (2)}

78.05600 \dots

Solution steps

80 e^{- 0.0123 (2)}

Apply exponent rule:

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

= 80 \cdot \frac{1}{e ^{2 \cdot 0.0123}}

Multiply the numbers:

0.0123 \cdot 2 = 0.0246

= 80 \cdot \frac{1}{e ^{0.0246}}

Multiply fractions:

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

= \frac{1 \cdot 80}{e ^{0.0246}}

Multiply the numbers:

1 \cdot 80 = 80

= \frac{80}{e ^{0.0246}}

e^{0.0246} = 1.02490 \dots

= \frac{80}{1.02490 \dots}

Divide the numbers:

\frac{80}{1.02490 \dots} = 78.05600 \dots

= 78.05600 \dots

(e^{- x} + 1 e^{- e^{- x} - 1}) (e x)

- e^{- 2 t} ln (t)

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

\frac{1}{2} e^{j θ} \cdot \frac{1}{2} e^{- j θ}

\frac{( k + 1 ) ^{k}}{k ^{k}}