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Popular >

simplify 10^2*10^{-3}

Solution

simplify

1 0^{2} \cdot 1 0^{- 3}

Solution

\frac{1}{10}

+1

Decimal Notation

0.1

Solution steps

1 0^{2} \cdot 1 0^{- 3}

Apply exponent rule:

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

1 0^{2} \cdot 1 0^{- 3} = 1 0^{2 - 3}

= 1 0^{2 - 3}

Subtract the numbers:

2 - 3 = - 1

= 1 0^{- 1}

Apply exponent rule:

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

1 0^{- 1} = \frac{1}{10}

= \frac{1}{10}

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Frequently Asked Questions (FAQ)

What is 10^2*10^{-3} ?
The solution to 10^2*10^{-3} is 1/10