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Popular >

simplify 10^{-3}*10^{-3}

Solution

simplify

1 0^{- 3} \cdot 1 0^{- 3}

Solution

\frac{1}{1000000}

+1

Decimal Notation

0.000001

Solution steps

1 0^{- 3} \cdot 1 0^{- 3}

Apply exponent rule:

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

1 0^{- 3} \cdot 1 0^{- 3} = 1 0^{- 3 - 3}

= 1 0^{- 3 - 3}

Subtract the numbers:

- 3 - 3 = - 6

= 1 0^{- 6}

Apply exponent rule:

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

1 0^{- 6} = \frac{1}{1 0 ^{6}}

= \frac{1}{1 0 ^{6}}

1 0^{6} = 1000000

= \frac{1}{1000000}

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Frequently Asked Questions (FAQ)

What is 10^{-3}*10^{-3} ?
The solution to 10^{-3}*10^{-3} is 1/1000000