Question

find the value of m for which

5^m/5-³=25^5m

Answer 1

5^m/5^-3=25^5m

5^m-3=5^10m

so,m-3=10m

m-10m=3

-9m=3

m=3/-9

m=-3

hope this'll help u......

Answer 2

Step-by-step explanation:

Solution:

5m ÷ 5-3 = 55

⇒ 5m-(-3) = 55 [∵ am ÷ an = am-n]

⇒ 5m+3 = 55

Comparing the powers of equal bases, we have

m + 3 = 5

m = 5 – 3 = 2, i.e., m = 2