Exponent Puzzle

Question

The expression 7m^5 n/m^a simplifies to 6n/m^3 . What must be the value of a?

Answer 1

not going to happen unless the coefficients are the same..

7 m^(5-a) n = 6 n m ^(-3)

N cancels

7 m^(5-a) = 6 m ^(-3)

5 - a = -3

5 = a-3

a=8