Question

Which expression is equivalent to 28p^9 q^-5/12p^-6q7 ?

Answer 1

Answer:

the answer is b

Step-by-step explanation:

i got it right on edge 2020

Answer 2

We are given expression: $\frac{28p^9q^{-5}}{12p^{-6}q^7}$.

In order to simplify given expression, let us break it into smaller parts.

$\frac{28}{12} = \frac{7}{3}$

$\frac{p^9}{p^{-6}} =p^{9-(-6)} = p^{9+6} = p^{15}.$

$\frac{q^{-5}}{q^7} =\frac{1}{q^{7-(-5)}} = \frac{1}{q^{7+5}} = \frac{1}{q^{12}}$

Combining all terms together, we get

$\frac{7p^{15}}{3q^{12}} .$

Therefore, final expression is $\frac{7p^{15}}{3q^{12}}.$