Answer:
Step-by-step explanation:
Question
64^m
--------
4^2m
Solution
(64)^m = (4^3)^m = 4^3m
4^3m/4^2m = 4^(3m - 2m) = 4^m
Answer
2^2m = (2^2)^m = 4^m Equivalent
16^0.5m = (16^0.4) ^m = 4^m Equivalent
4^m Equivalent
All three of these are equivalent. The catch is in splitting the powers apart. In this top one (2^2m) you move the brackets so that the right bracket is after the two which gives (2^2)^m = 4m
You do the same thing with (16^0.5)^m. 16^0.5 = 4 So the answer is 4^m
The last one is 4^m which is the answer you got from the division.
