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Popular >

simplify (10^2*10^3)^{-2}

Solution

simplify

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

Solution

\frac{1}{10000000000}

+1

Decimal Notation

0.0000000001

Solution steps

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

Apply exponent rule:

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

(1 0^{2} \cdot 1 0^{3})^{- 2} = \frac{1}{( 1 0 ^{2} \cdot 1 0 ^{3} ) ^{2}}

= \frac{1}{( 1 0 ^{2} \cdot 1 0 ^{3} ) ^{2}}

(1 0^{2} \cdot 1 0^{3})^{2} = 10000000000

= \frac{1}{10000000000}

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Frequently Asked Questions (FAQ)

What is (10^2*10^3)^{-2} ?
The solution to (10^2*10^3)^{-2} is 1/10000000000