Simplify - (3^(m+4) - 6*3^(m+2))/(7*3^(m+2))

Question

simplify it and thank you

Answer 1

(3^m+4 - 6(3^m+2)) / (7(3^m+2))

3^m+4 = 3^m+2+2 = 3²3^m+2 = 9(3^m+2)

So, the given expression is equivalent to 3(3^m+2) / (7(3^m+2))

The 3^m+2 factors cancel, so the answer is 3/7.