Question

Look at this expression.

14ab3

7a-2b-1

Which of the following is the simplest form of the expression above?

Answer 1

2a2 – 2b – 1

Explanation:

this was right on edge

Answer 2

`\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}{(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`