(3p^-3 q^-1)^2 x (-4p^3 q^-2)^2 = ?

[Mphisto]

Homework Statement

(3p^-3 q^-1)^2 x (-4p^3 q^-2)^2 = ?
Leave answer in positive indices

Homework Equations

The Attempt at a Solution

(3p^-3 q^-1)^2 x (-4p^3 q^-2)^2 = (9p^-6 q^-2)(16p^6 q^-4)
= 144q^-6
= 144/q^6

Is my answer correct or I am missing a concept? Thank you for taking the time to read.

 

[Bread18]

Is this what you need to simplify?

$$(3p^{-3}q^{-1})^2(-4p^3q^{-2})^2$$

 

[Mphisto]

Is this what you need to simplify?

$$(3p^{-3}q^{-1})^2(-4p^3q^{-2})^2$$

Yeah, sorry. I don't know how to use that tex thingy

 

[Joffan]

looks good Mphisto.

The question actually multiplies two squared expressions together, so if you wanted to you could take everything under a common squaring operation to simplify and square at the end. But your working is fine too.

 

[Bread18]

Then that looks good!

 

[Mphisto]

looks good Mphisto.

The question actually multiplies two squared expressions together, so if you wanted to you could take everything under a common squaring operation to simplify and square at the end. But your working is fine too.

Then that looks good!

Thanks for taking the time to check my answer, thank you! =)