Question

Please solve the question

Answer 1

To find m, simplify the given problem

$( \frac{3}{7} ) {}^{4} \times ( \frac{3}{7} ) {}^{5} = ( \frac{3}{7} ) {}^{2m +1} \\ ( \frac{3}{7} ) {}^{4 + 5} = ( \frac{3}{7} ) {}^{2m + 1} \\ ( \frac{3}{7} ) {}^{9} = ( \frac{3}{7} ) {}^{2m + 1}$

If

$( \frac{3}{7} ) {}^{9} = ( \frac{3}{7} ) {}^{2m + 1}$

Then

2m+1 = 9

2m = 9-1

2m = 8

m = 8/2

m = 4