Question

Hi anyone can solve this?​

Answer 1

m = 2.5, n = 2.

Explanation:

64^n = 16^3

Now 64 = 4^3 and 16 = 4^2, so:

4^3n = 4^(2*3)

4^3n = 4^6

3n = 6

n = 2.

Substituting for n in the other equation:

16^m * 1/4^2 = 4^3

16^m * 4 ^-2 = 4^3

4^2m * 4^-2 = 4^3

4^(2m - 2) = 4^3

2m - 2 = 3

2m = 5

m = 2.5