What is 8e^{-100(0.005)} ?

The solution to 8e^{-100(0.005)} is 4.85224…

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simplify 8e^{-100(0.005)}

simplify

8 e^{- 100 (0.005)}

4.85224 \dots

Solution steps

8 e^{- 100 (0.005)}

Apply exponent rule:

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

= 8 \cdot \frac{1}{e ^{100 \cdot 0.005}}

Multiply the numbers:

100 \cdot 0.005 = 0.5

= 8 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 8}{e}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8}{e}

e = 1.64872 \dots

= \frac{8}{1.64872 \dots}

Divide the numbers:

\frac{8}{1.64872 \dots} = 4.85224 \dots

= 4.85224 \dots

(e^{2})^{2}

8.1 \cdot 1 0^{- 24}

6000 (2)^{- 0.15 (5)}

\frac{x + 1}{x - 1}

- 8 x^{4} (\frac{1}{4} x^{3})