What is 8e^{-100(5)}(3.2) ?

The solution to 8e^{-100(5)}(3.2) is 1.82389E-216

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simplify 8e^{-100(5)}(3.2)

simplify

8 e^{- 100 (5)} (3.2)

1.82389 E - 216

Solution steps

8 e^{- 100 (5)} (3.2)

Apply exponent rule:

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

= 8 \cdot 3.2 \cdot \frac{1}{e ^{100 \cdot 5}}

Multiply the numbers:

100 \cdot 5 = 500

= 8 \cdot 3.2 \cdot \frac{1}{e ^{500}}

Multiply fractions:

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

= 3.2 \cdot \frac{1 \cdot 8}{e ^{500}}

Multiply the numbers:

1 \cdot 8 = 8

= 3.2 \cdot \frac{8}{e ^{500}}

Multiply fractions:

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

= \frac{8 \cdot 3.2}{e ^{500}}

Multiply the numbers:

8 \cdot 3.2 = 25.6

= \frac{25.6}{e ^{500}}

Convert element to a decimal form

e^{500} = 1.40359 E 217

= \frac{25.6}{1.40359 E 217}

Divide the numbers:

\frac{25.6}{1.40359 E 217} = 1.82389 E - 216

= 1.82389 E - 216

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