SOLUTION: A number to the 8th power divided by the same number to the 4th power is 16. What is the number?

Algebra ->  Exponents -> SOLUTION: A number to the 8th power divided by the same number to the 4th power is 16. What is the number?      Log On


   

Question 534011: A number to the 8th power divided by the same number to the 4th power is 16. What is the number?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
n%5E8%2Fn%5E4+=+16 Simplify.
n%5E4+=+16 Take the fourth root of both sides.
n+=+2 Check:
2%5E8%2F2%5E4+=+16
256%2F16+=+16
16+=+16