117/MR00. problem / Math - Solved Math Problems

MR-117. problem

Simplify the following expression:

$\frac{2^{- 2} \cdot 5^{3} \cdot 10^{- 3}}{2^{- 3} \cdot 5^{2} \cdot 10^{- 4}}$

$\frac{2^{- 2} \cdot 5^{3} \cdot 10^{- 3}}{2^{- 3} \cdot 5^{2} \cdot 10^{- 4}}$

$= \frac{2^{3} \cdot 5^{3} \cdot 10^{4}}{2^{2} \cdot 5^{2} \cdot 10^{3}}$

$= 2^{3 - 2} \cdot 5^{3 - 2} \cdot 10^{4 - 3}$

= 2^{1} \cdot 5^{1} \cdot 10^{1}

$= 100$

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