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

3318 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Aled has three concrete slabs. Two of the slabs are square, with each side of length x metres. The third slab is rectangular and measures 1 metre by (x +1) metres. The three concrete slabs cover an area of 7m^2. Show that 2x^2 + x – 6 = 0. Find x.


Use approximations to 1 significant figure to estimate the value of 0.101 x (51.2)^2 / (3.96)^1/2


There are 6 orange sweets and n total sweets in a bag. The probability of picking two sweets one at a time randomly and both being orange is 1/3. Show that n^2 - n - 90 = 0


Work out 1 1/5 ÷ 3/4. Give your answer as a mixed number in its simplest form.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences