you are given that x=5^m and y=5^n. write the following n terms of x and y(or both)
1)5^(7m+1)
2)25^(m+n)
3)(1/125)^n
plz can you put the question number before the answer as it will help
thank you
x = 5^m y = 5^n
1) 5^(7m + 1) = 5^(7m) * 5 = (5^m)^7 * 5 = (x)^7 * 5 = 5x^7
2) 25 ^ (m + n) = (5^2)^(m + n) = (5^2)^m * (5^2)^n = (5^m)^2 * (5^n)^2 = x^2* y^2
3) ( 1 / 125)^n = (1/ 5^3)^n = (5^(-3 ) )^n = ( 5^n)^(-3) = y^(-3)
