Question

Find the value of m, such that 3^2m x 3^3m = 81​

Answer 1

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3^2m×3^3m=81

or,3^2m+3m=3⁴

or,2m+3m=3

or,5m=3

or,m=3/5

Answer 2

Answer:

${3}^{2m} \times {3}^{3m} = 81 \\ 3 {}^{5m} = {3}^{4} \\ 5m = 4 \\ m = \frac{4}{5}$