Question

Find the value of 'm' in the expression 5^m÷5^-3/5^2=5^13

Answer 1

[5^m÷5^(-3)]/5^2=5^13
or, [5^m÷5^(-3)]= 5^13×5^2= 5^(13+2)
=5^ 15
or, 5^(m+3) =5^ 15
now m+3 = 15
or, m= 15- 3 = 12