Simplify a^4 x a^5

Question = Simplify a4 x a5-------------------------------------------So here we have two 'groups' of a being multiplied together. We can rewrite a4 and a5 as the following:a4 = a x a x a x aa5 = a x a x a x a x aIf we substitute these into the original question we have:a4 x a5 = a x a x a x a x a x a x a x a x aIf we count these we have 9 lots of a multiplied together, so this can be rewritten as a9.Notice that 4 + 5 = 9, so when we multiply two identical values or letters (these are sometimes called "variables") that are presented in index / power form, we can simply add the powers together.So, to conclude: a4x a5 = a9, which we can obtain from the techniques of multiplying indices.

Answered by Finn A. Maths tutor

6507 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you complete the square?


How do you expand (2x-1)(3x+4) using the FOIL method?


Express f(x) = x^2 + 5x + 9 in the form (x + a)^2 + b, stating the values of a and b.


How do you solve the simultaneous equations 3x + 4y = 5 and 2x – 3y = 9


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