Question

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

Answer 1

Given:

`(5x^2y^(11))/(2)(.)/(.)(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;

`(5x^2y^(11))/(2)*(6)/(x^4y^6)`

Apply the laws of indices;

`(6*5x^2y^(11)x^(-4)y^-^6)/(2)`
`=3*5x^(2-4)y^(11-6)`
`=15x^(-2)y^5`
`=(15y^5)/(x^2)`