Question

5^(3-m) x 25^(5m-2)/5m= 625 Find the value of m: ​

Answer 1

Answer:

sorry can't understand

Answer 2

Answer:-

$m = \frac{ - 1}{3}$

Solution:-

${5}^{3 - m} \times {25}^{5m - 2} = 625 \\ {5}^{3 - m} \times ( {5 ^{2} })^{5m - 2} = {5}^{4} \\ {5}^{3 - m} \times {5}^{10m - 4} = {5}^{4} \\ when \: the \: bases \: are \: same \\ 3 - m + 10m - 4 = 4 \\ 3 + 9m = 0 \\ m = \frac{ - 3}{9} \\ m = \frac{ - 1}{3}$