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

Answer:

$\dfrac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}\Rightarrow \dfrac{3p^{8}}{-4q^{3}}$

Step-by-step explanation:

We are given rational expression.

$\text{Expression: }\dfrac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}$

We need to simplify and write as quotient.

Using exponent law simplify the expression

$a^m\div a^n=a^{m-n}$

$a^m\times a^n=a^{m+n}$

$\Rightarrow \dfrac{3p^{-4+12}q^{-6+3}}{-4}$

$\Rightarrow \dfrac{3p^{8}q^{-3}}{-4}$

$\Rightarrow \dfrac{3p^{8}}{-4q^{3}}$

Now we write quotient of simplest form.

Thus, simplified form is $\Rightarrow \dfrac{3p^{8}}{-4q^{3}}$