Question

What is the quotient of 15p^-4q^-6/-20p^-12q^-3 in simplified form?

Answer 1

`\cfrac{15p^(-4)q^(-6)}{-20p^(-12)q^(-3)} =\cfrac{3p^(-4+12)}{-4q^(-3+6)} =- \cfrac{3p^(8)}{4q^(3)}`

Answer 2

`(15p^(-4)q^(-6))/(-20p^(-12)q^(-3))\Rightarrow (3p^(8))/(-4q^(3))`

Explanation:

We are given rational expression.

`\text{Expression: }(15p^(-4)q^(-6))/(-20p^(-12)q^(-3))`

We need to simplify and write as quotient.

Using exponent law simplify the expression

`a^m/ a^n=a^(m-n)`

`a^m* a^n=a^(m+n)`

`\Rightarrow (3p^(-4+12)q^(-6+3))/(-4)`

`\Rightarrow (3p^(8)q^(-3))/(-4)`

`\Rightarrow (3p^(8))/(-4q^(3))`

Now we write quotient of simplest form.

Thus, simplified form is
`\Rightarrow (3p^(8))/(-4q^(3))`