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Popular >

simplify 10\times 10^{-3}

Solution

simplify

10 \cdot 1 0^{- 3}

Solution

\frac{1}{100}

+1

Solution steps

10 \cdot 1 0^{- 3}

Apply exponent rule:

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

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

= 1 0^{1 - 3}

Subtract the numbers:

1 - 3 = - 2

= 1 0^{- 2}

Apply exponent rule:

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

1 0^{- 2} = \frac{1}{1 0 ^{2}}

= \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= \frac{1}{100}

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Frequently Asked Questions (FAQ)

What is 10\times 10^{-3} ?
The solution to 10\times 10^{-3} is 1/100