Question

Express the following quotient in simplest form without the use of negative exponents

Answer 1

Given:

$\frac{5x^2y^{11}}{2}\frac{.}{.}\frac{x^4y^6}{6}$

We first need to change the divion to multiplication by inverting the term that comes after the division sign.

That is;

$\frac{5x^2y^{11}}{2}\times\frac{6}{x^4y^6}$

Apply the laws of indices;

$\frac{6\times5x^2y^{11}x^{-4}y^-^6}{2}$$=3\times5x^{2-4}y^{11-6}$$=15x^{-2}y^5$$=\frac{15y^5}{x^2}$