What is 5.689*e^{-8} ?

The solution to 5.689*e^{-8} is 0.00190…

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simplify 5.689*e^{-8}

simplify

5.689 \cdot e^{- 8}

0.00190 \dots

Solution steps

5.689 e^{- 8}

Apply exponent rule:

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

= 5.689 \cdot \frac{1}{e ^{8}}

Multiply fractions:

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

= \frac{1 \cdot 5.689}{e ^{8}}

Multiply the numbers:

1 \cdot 5.689 = 5.689

= \frac{5.689}{e ^{8}}

Convert element to a decimal form

e^{8} = 2980.95798 \dots

= \frac{5.689}{2980.95798 \dots}

Divide the numbers:

\frac{5.689}{2980.95798 \dots} = 0.00190 \dots

= 0.00190 \dots

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