What is (6*10^{-7})(-6*10^{-4}) ?

The solution to (6*10^{-7})(-6*10^{-4}) is -9/25000000000

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simplify (610^{-7})(-610^{-4})

simplify

(6 \cdot 1 0^{- 7}) (- 6 \cdot 1 0^{- 4})

- \frac{9}{25000000000}

Decimal Notation

- 3.6 E - 10

Solution steps

(6 \cdot 1 0^{- 7}) (- 6 \cdot 1 0^{- 4})

Apply rule:

a (- b) = - ab

(6 \cdot 1 0^{- 7}) (- 6 \cdot 1 0^{- 4}) = - 6 \cdot 1 0^{- 7} \cdot 6 \cdot 1 0^{- 4}

= - 6 \cdot 1 0^{- 7} \cdot 6 \cdot 1 0^{- 4}

Multiply the numbers:

- 6 \cdot 6 = - 36

= - 36 \cdot 1 0^{- 7} \cdot 1 0^{- 4}

Apply exponent rule:

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

1 0^{- 7} \cdot 1 0^{- 4} = 1 0^{- 7 - 4}

= - 36 \cdot 1 0^{- 7 - 4}

Subtract the numbers:

- 7 - 4 = - 11

= - 36 \cdot 1 0^{- 11}

Apply exponent rule:

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

1 0^{- 11} = \frac{1}{1 0 ^{11}}

= - 36 \cdot \frac{1}{1 0 ^{11}}

Multiply fractions:

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

= - \frac{1 \cdot 36}{1 0 ^{11}}

Multiply the numbers:

1 \cdot 36 = 36

= - \frac{36}{1 0 ^{11}}

Cancel

\frac{36}{1 0 ^{11}} : \frac{3 ^{2}}{5 ^{11} \cdot 2 ^{9}}

= - \frac{3 ^{2}}{5 ^{11} \cdot 2 ^{9}}

3^{2} = 9

= - \frac{9}{5 ^{11} \cdot 2 ^{9}}

5^{11} \cdot 2^{9} = 25000000000

= - \frac{9}{25000000000}

(3)^{8}

e^{- 10} \cdot 10

What is (6*10^{-7})(-6*10^{-4}) ?
The solution to (6*10^{-7})(-6*10^{-4}) is -9/25000000000