Question

Look at this expression.

Answer 1

$\bf \cfrac{14ab^3}{7a^{-2}b^{-1}}\\\\ -----------------------------\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \\ \quad \\ % negative exponential denominator a^{{ n}} \implies \cfrac{1}{a^{- n}} \qquad \qquad \cfrac{1}{a^{- n}}\implies \cfrac{1}{\frac{1}{a^{ n}}}\implies a^{{ n}} \\\\ -----------------------------$

$\bf \cfrac{14}{7}\cdot \cfrac{a}{1}\cdot \cfrac{1}{a^{-2}}\cdot \cfrac{b^3}{1}\cdot \cfrac{1}{b^{-1}}\implies 2\cdot a\cdot a^2\cdot b^3\cdot b^1\implies 2a^{1+2}b^{3+1} \\\\\\ 2a^3b^4$