872/VB02. problem / Math - Solved Math Problems

MR-872 / 11b. problem

Simplify the following expression:

$\frac{a^{- 3} a b^{- 2}}{2^{- 4} a^{3} b^{- 3}}$

$\frac{a^{- 3} a b^{- 2}}{2^{- 4} a^{3} b^{- 3}}$

$= \frac{a \cdot 2^{4} \cdot b^{3}}{a^{3} \cdot b^{2} \cdot a^{3}}$

$= \frac{a \cdot 16 \cdot b^{3}}{b^{2} \cdot a^{3 + 3}}$

$= \frac{a \cdot 16 \cdot b^{3}}{b^{2} \cdot a^{6}}$

$= \frac{16 b}{a^{5}}$

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