Question

(p^-4q^10r^4)^5/(p^9q^2r^-8)^-3. Simplify please

Answer 1

When you divide exponent powers, you subtract them from one another.

Answer 2

So match up variables that are the same and subtract their powers.

Answer 3

Also \(\Large (a^b)^c=a^{b*c}\)

Answer 4

p^47r^44/q^56 is this right? @Luigi0210

Answer 5

I got something different

Answer 6

what did you get?

Answer 7

Actually, I'd like to see how you did, then maybe we find out where you went wrong, or if I did.

Answer 8

Well i am doing this on a online thing and it told me i was wrong so i know its wrong

Answer 9

Okay, so here, I'll explain what I did step by step and see if it makes sense to you alright?

Answer 10

Sounds good!

Answer 11

are you there? @Luigi0210 \

Answer 12

Okay, so first we distribute those exponents outside:
\(\LARGE \frac{(p^{-4}q^{10}r^4)^5}{(r^9q^2r^{-8})^{-3}}\)


\(\LARGE \frac{p^{-20}q^{50}r^{20}}{p^{-27}q^{-6}r^{24}}\)

Make sense so far?

Answer 13

yes

Answer 14

@Luigi0210

Answer 15

Now subtract their exponents: \(\Huge p^{-20-(-27)}~q^{50-(-6)}~r^{20-24}\)


\(\LARGE p^{7}~q^{56}~r^{-4}\)

And I'm here.. OS is just being stupid to me >_>

Answer 16

lol its fine! so is that the final answer?

Answer 17

The simplified answer is \(\LARGE \frac{p^{7}~q^{56}}{r^{4}}\)

Answer 18

okay thank you so much! i might have more haha

Answer 19

You're welcome, and if you have more just open a new question~

Answer 20

okay!