Write 16 × 8^(2x) as a power of 2 in terms of x

Aim: Our answer should be written in the form 2a+bx where a and b are constants that we are trying to find.
Firstly, we can write 16 in terms of a power of 2: 16 = 42 = 4 x 4 = (2 x 2) x (2 x 2) = 24
Similarly, 8 can be written as a power of 2: 8 = 2 x 4 = 2 x 2 x 2 = 23
Putting this together, we get: 16 x 82x = 24 x (23)2x
Using rules of indices: (23)2x = 23 x 2x = 26x
Hence, 16 × 82x = 24 x 26x = 24+6x

Answered by Sophie L. Maths tutor

7057 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Write 180g as a fraction of 3Kg. Give your answer in its simplest form.


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


Solve the two equations: Equation 1: 2a - 5b = 11 Equation 2: 3a + 2b = 7


If 3(x-2)-4(x+5)=10 , what is the value of x?


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