What is (9*10^{-14})(-6*10^{-12}) ?

The solution to (9*10^{-14})(-6*10^{-12}) is -(27)/(5^{26)*33554432}

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simplify (910^{-14})(-610^{-12})

simplify

(9 \cdot 1 0^{- 14}) (- 6 \cdot 1 0^{- 12})

- \frac{27}{5 ^{26} \cdot 33554432}

Decimal Notation

0

Solution steps

(9 \cdot 1 0^{- 14}) (- 6 \cdot 1 0^{- 12})

Apply rule:

a (- b) = - ab

(9 \cdot 1 0^{- 14}) (- 6 \cdot 1 0^{- 12}) = - 9 \cdot 1 0^{- 14} \cdot 6 \cdot 1 0^{- 12}

= - 9 \cdot 1 0^{- 14} \cdot 6 \cdot 1 0^{- 12}

Multiply the numbers:

- 9 \cdot 6 = - 54

= - 54 \cdot 1 0^{- 14} \cdot 1 0^{- 12}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{- 14} \cdot 1 0^{- 12} = 1 0^{- 14 - 12}

= - 54 \cdot 1 0^{- 14 - 12}

Subtract the numbers:

- 14 - 12 = - 26

= - 54 \cdot 1 0^{- 26}

Apply exponent rule:

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

1 0^{- 26} = \frac{1}{1 0 ^{26}}

= - 54 \cdot \frac{1}{1 0 ^{26}}

Multiply fractions:

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

= - \frac{1 \cdot 54}{1 0 ^{26}}

Multiply the numbers:

1 \cdot 54 = 54

= - \frac{54}{1 0 ^{26}}

Cancel

\frac{54}{1 0 ^{26}} : \frac{3 ^{3}}{5 ^{26} \cdot 2 ^{25}}

= - \frac{3 ^{3}}{5 ^{26} \cdot 2 ^{25}}

3^{3} = 27

= - \frac{27}{5 ^{26} \cdot 2 ^{25}}

2^{25} = 33554432

= - \frac{27}{5 ^{26} \cdot 33554432}

\frac{3 x}{2}

e^{- x} x

\frac{- 20}{- 5}

\frac{8.1875}{2}

\frac{5}{x}

What is (9*10^{-14})(-6*10^{-12}) ?
The solution to (9*10^{-14})(-6*10^{-12}) is -(27)/(5^{26)*33554432}