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.

BP
Answered by Bethan P. Maths tutor

3165 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Can you explain the quadratic formula?


How do I simplify a surd?


Expand and simplify (m + 3)(m + 10)


Mark has a voucher that gives him 22% off the prices at a hardware store. Estimate how much he will pay for an electric drill that normally costs £87.99. (non-calculator) (3)


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences