Hello good people!!!..Juriemagic here. First of all to all of you guys out there, sitting ready to help those in need, I wish each and every one a very happy and blessed 2016!...
I need some help with this problem please:
((p^2q)^3(2p^3q^-4)^2) / p^2q^3 * (4p^-2q^5)^3
I'm ready to help with problems written in English,JK! I'm sorry, I can't help uπ₯
Simplify the following:
((p^2 q)^3 ((2 p^3)/q^4)^2)/(p^2 q^3 ((4 q^5)/p^2)^3)
Multiply each exponent in p^2 q by 3:
(p^(3Γ2) q^3 ((2 p^3)/q^4)^2)/(p^2 q^3 ((4 q^5)/p^2)^3)
3Γ2 = 6:
(p^6 q^3 ((2 p^3)/q^4)^2)/(p^2 q^3 ((4 q^5)/p^2)^3)
Multiply each exponent in (2 p^3)/q^4 by 2:
(p^6 q^3Γ(2^2 p^(2Γ3))/((q^4)^2))/(p^2 q^3 ((4 q^5)/p^2)^3)
2Γ3 = 6:
(2^2 p^6 q^3 p^6)/((q^4)^2 p^2 q^3 ((4 q^5)/p^2)^3)
2^2 = 4:
(4 p^6 q^3 p^6)/((q^4)^2 p^2 q^3 ((4 q^5)/p^2)^3)
Multiply exponents. (q^4)^2 = q^(4Γ2):
(4 p^6 q^3 p^6)/(q^(4Γ2) p^2 q^3 ((4 q^5)/p^2)^3)
4Γ2 = 8:
(4 p^6 q^3 p^6)/(q^8 p^2 q^3 ((4 q^5)/p^2)^3)
Multiply each exponent in (4 q^5)/p^2 by 3:
(4 p^6 q^3 p^6)/(q^8 p^2 q^3Γ(4^3 q^(3Γ5))/((p^2)^3))
3Γ5 = 15:
(4 p^6 q^3 p^6)/(q^8Γ(4^3 p^2 q^3 q^15)/(p^2)^3)
Multiply exponents. (p^2)^3 = p^(2Γ3):
(4 p^6 q^3 p^6)/(q^8Γ(4^3 p^2 q^3 q^15)/p^(2Γ3))
2Γ3 = 6:
(4 p^6 q^3 p^6)/(q^8Γ(4^3 p^2 q^3 q^15)/p^6)
4^3 = 4Γ4^2:
(4 p^6 q^3 p^6)/(q^8Γ(4Γ4^2 p^2 q^3 q^15)/p^6)
4^2 = 16:
(4 p^6 q^3 p^6)/(q^8Γ(4Γ16 p^2 q^3 q^15)/p^6)
4Γ16 = 64:
(4 p^6 q^3 p^6)/(q^8Γ(64 p^2 q^3 q^15)/p^6)
(p^6 q^3Γ4 p^6)/(q^8 (p^2 q^3Γ64 q^15)/p^6) = q^3/q^3Γ((p^6Γ4 p^6)/q^8)/((p^2Γ64 q^15)/p^6) = ((p^6Γ4 p^6)/q^8)/((p^2Γ64 q^15)/p^6):
((4 p^6 p^6)/q^8)/((64 p^2 q^15)/p^6)
Combine powers. (p^6Γ4 p^6)/(q^8 (p^2Γ64 q^15)/p^6) = (p^(6+6-2) 4 p^6)/(q^8Γ64 q^15):
(4 p^6+6-2 p^6)/(64 q^8 q^15)
6+6-2 = 10:
(4 p^10 p^6)/(64 q^8 q^15)
4 | 1 | 6
| 6 | 4
- | 4 |
| 2 | 4
- | 2 | 4
| | 0:
(p^10 p^6)/(16 q^8 q^15)
Combine powers. (p^10 p^6)/(16 q^8 q^15) = (p^(10+6) q^(-8-15))/16:
(p^10+6 q^-8-15)/16
10+6 = 16:
(p^16 q^(-8-15))/16
-8-15 = -23:
Answer: | (p^16 q^-23)/16
((p^2q)^3(2p^3q^-4)^2) / p^2q^3 * (4p^-2q^5)^3
This is your question - is it what you intended or do you need more brackets?
(p2q)3(2p3qβ4)2p2Γq3β(4pβ2q5)3
The intention is everything to the left of the division sign is on top, and everything right from it, at the bottom...
Hi Juriemagic,
I see you still cannot log on
(p2q)3(2p3qβ4)2p2q3β(4pβ2q5)3 =p6q3(22p6qβ8)p2q3β(43pβ6q15) =p6(4p6qβ8)p2β(64pβ6q15) =p4(4p6qβ8)(64pβ6q15) =4p4p6qβ864pβ6q15 =p10qβ816pβ6q15 =p10p+616q15q+8 =p1616q23
If you do not understand or you want a particular line discussed then please ask :)
Hi Melody!,
Thank you sooo much. I managed to do this sum but only to a point...
Yes, the logging on is still a problem, aw well, I'll speak with I.T. here and see if they can help...otherwise?..I trust you are all okay?
Hi Juriemagic,
Admin knows that you and others have log in problems. He does know how to fix it.
Have you tried using a different browser?
Do you completely understand my answer?
You should thank guest answerer too. He/she put in a lot of work on your behalf. :/
Here are some more examples to practic on if you want
http://web2.0calc.com/questions/indices-especially-negative-indices