5q^2.p^12/10(q.p^3)^2

First of all, the best thing to do is to split the question into its different components:

5 x q^2 x p^12 / 10 (q x p^3)^2

Next we want to get rid of the brackets. With indices there are several important rules, can you remember them? If you have indices to the power of something, you can multiply the two numbers, (p^3)^2 becomes p^6.

Now we have 5 x q^2 x p^12 / 10 x q^2 x p^6 and we can cancel the q^2s from the top and bottom and divide the top and bottom by 5 (when simplifying everything we do to the top must be done to the bottom).

We now have p^12 / 2p^6. When we divide indices we minus them, and we can now divide the fraction by p^6 leaving us with p^6/2.

Answered by Bethan P. Maths tutor

2836 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve (x+2)/3x + (x-2)/2x = 3


6x – 7 = 14 – x


How do you calculate the sum of all internal angles of a regular polygon?


Grade 8/9 question: Point A (0,1) and Point B (10,6) lie on a straight line. Find the equation of the line perpendicular to AB which also intersects B.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences