Hi, I have an assignment due tomorrow. There are two questions that i am stuck on. Could you please help me out with them? They are:
1) (2a^³)^2 x 3(a^-4 b)^-³
______________________
4b^-5

2) (12p² q-³ r)^/ 144q^
____
5p²

Please note: The end of question two is 144q³ over 5p², not everything over 5p². I have been unable to keep the numerator and the denominator together.

2. I would suggest expanding everything first, and then simplify.

3. Am i on the right track in thinking that the next step would take me to:

4a^6 x 27a^12 x 27b
_______________________
4b^-5

Or am i supposed to do it differently?

4. Could you please use LaTeX. It's very hard to figure out what the question is. (Use $$and$$ commands.)
I'll try it but correct me if something is wrong.

5. So the first question: $\displaystyle \frac {\left(2a^3\right)^2\cdot3\left(a^{-4}b\right)^{-3}}{4b^{-5}}$
The second one: $\displaystyle \frac {\left(12p^2 q^{-3} r\right)^{5p^2}}{144q^{5p^2}}$

Tell me if I'm right or wrong.

6. Originally Posted by mcaelli
Hi, I have an assignment due tomorrow. There are two questions that i am stuck on. Could you please help me out with them? They are:
1) (2a^³)^2 x 3(a^-4 b)^-³
______________________
4b^-5
Hello! May I know if your question is:
(2a³)² x 3(a^-4)(b)-³
4b^-5

[it is b to the power of 3 right?]

If I solve this question:
(2a³)² x 3(a^-4)(b)-³
4b^-5

= 4(a^6) x 3b^5
4(a^4)(b³)

Cancelling off common terms 4 and a^4 and b^3, I will get: a² + b²

I think it is correct, but i am not sure of your question...