What is 100(e^{-((0.005)/4)}) ?

The solution to 100(e^{-((0.005)/4)}) is 99.87507…

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simplify 100(e^{-((0.005)/4)})

simplify

100 (e^{- (\frac{0.005}{4})})

99.87507 \dots

Solution steps

100 (e^{- (\frac{0.005}{4})})

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{\frac{0.005}{4}}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{\frac{0.005}{4}}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{\frac{0.005}{4}}}

e^{\frac{0.005}{4}} = 1.00125 \dots

= \frac{100}{1.00125 \dots}

Divide the numbers:

\frac{100}{1.00125 \dots} = 99.87507 \dots

= 99.87507 \dots

e^{- x^{a}}

3^{4 x - 2}

6.67 \cdot 1 0^{- 11} (8) (15)

e^{- 2.1655}

What is 100(e^{-((0.005)/4)}) ?
The solution to 100(e^{-((0.005)/4)}) is 99.87507…