What is 9e^{-9}(-1.6e^{-19}) ?

The solution to 9e^{-9}(-1.6e^{-19}) is -9.95674E-12

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simplify 9e^{-9}(-1.6e^{-19})

simplify

9 e^{- 9} (- 1.6 e^{- 19})

- 9.95674 E - 12

Solution steps

9 e^{- 9} (- 1.6 e^{- 19})

Apply exponent rule:

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

= 9 \cdot \frac{1}{e ^{9}} (- 1.6 e^{- 19})

Remove parentheses:

(- a) = - a

= - 9 \cdot \frac{1}{e ^{9}} \cdot 1.6 e^{- 19}

Apply exponent rule:

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

e^{- 19} = \frac{1}{e ^{19}}

= 9 \cdot 1.6 \cdot \frac{1}{e ^{9}} \cdot \frac{1}{e ^{19}}

Multiply fractions:

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

= - 1.6 \cdot \frac{1 \cdot 1 \cdot 9}{e ^{19} e ^{9}}

\frac{1 \cdot 1 \cdot 9}{e ^{9} e ^{19}} = \frac{9}{e ^{28}}

= - 1.6 \cdot \frac{9}{e ^{28}}

Multiply fractions:

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

= - \frac{9 \cdot 1.6}{e ^{28}}

Multiply the numbers:

9 \cdot 1.6 = 14.4

= - \frac{14.4}{e ^{28}}

Simplify

\frac{14.4}{e ^{28}} : 9.95674 E - 12

= - 9.95674 E - 12

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What is 9e^{-9}(-1.6e^{-19}) ?
The solution to 9e^{-9}(-1.6e^{-19}) is -9.95674E-12