Question

find the value of m for which 3m÷3^-4=9^5​

Answer 1

Answer:

$3m \div {3}^{ - 4} = {9}^{5} \\ \frac{3m }{{3}^{ - 4} } = {9}^{5} \\ 3m \times {3}^{4} =( {{3}^{2}})^{5} \\ 3m = \frac{ {3}^{10} }{ {3}^{4} } \\ m = \frac{ {3}^{10} }{ {3}^{5} } \\ m = {3}^{(10 - 5)} \\ m = {3}^{5} \\ m = 729$