What is 100e^{(-5.0765*10^{-3})} ?

The solution to 100e^{(-5.0765*10^{-3})} is 99.49363…

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simplify 100e^{(-5.0765*10^{-3})}

simplify

100 e^{(- 5.0765 \cdot 1 0^{- 3})}

99.49363 \dots

Solution steps

100 e^{(- 5.0765 \cdot 1 0^{- 3})}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{1 0^{- 3} \cdot 5.0765}}

\frac{1}{e ^{5.0765 \cdot 1 0^{- 3}}} = \frac{1}{e ^{0.0050765}}

= 100 \cdot \frac{1}{e ^{0.0050765}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.0050765}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.0050765}}

e^{0.0050765} = 1.00508 \dots

= \frac{100}{1.00508 \dots}

Divide the numbers:

\frac{100}{1.00508 \dots} = 99.49363 \dots

= 99.49363 \dots

e^{- x} e^{- y} ln (1)

- 2 e^{x} \cdot (- 1) e^{x}

36000 e^{- 0.6 t}

- 6 w^{2} (2 w^{2})

- 4 m^{3} x \cdot a^{3}

What is 100e^{(-5.0765*10^{-3})} ?
The solution to 100e^{(-5.0765*10^{-3})} is 99.49363…