Work out 2^14 ÷ (2^9)^2 in its simplest form

214 ÷ (29)2I would start with the second part of this equation as that looks like it needs simplifying. When 'powers of' are in brackets to each other, they are multipled i.e. (29)2 = 29x2 = 218. Therefore, the equation is now 214 ÷ 218. When dividing consistent numbers (e.g. both parts of the equation are 2 to the power of something) with powers of , they are subtracted from each other i.e. 214 ÷ 218 = 214-18 = 2-4. NB: this works the opposite way with multiplication so 25 x 23 = 28.To translate this answer to its simplest form, any numbers with a negative power of go to the bottom of a fraction (with the power reversed), with 1 on top. Therefore, this is now 1/24, which is 1/16 as a fraction in its simplest form.

Answered by Sion D. Maths tutor

5941 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Annie and Louis are going to the cinema with their friends. Annie buys two adult tickets and a popcorn for £18.Louis buys 4 adult tickets and 3 popcorn buckets for £45. How much is a ticket and a popcorn bucket?


Solve the equation 7x + 6 = 1 + 2x


solve the simultanious equations: x - 2y = 2 and 2x + y = -1


How do I find the intersection of a line and a curve?


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