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

SL
Answered by Sophie L. Maths tutor

7201 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the lowest common multiple and highest common factor of 30 and 60.


Solve the following simultaneous equations. x^2+y^2=25. y-3x=13


Tom's dad is 3 times older than him. In 15 years the sum of Tom's and his dad's ages will be equal to 102. How old are Tom and his dad now?


Solve the simultaneous equations: 5x + y = 21, x - 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