Свойства степени 1) (5^2)^3 : 25^2 = 2) 25^4 : (-5)^4 =

Question

Свойства степени
1) (5^2)^3 : 25^2 =
2) 25^4 : (-5)^4 =

Answer 1

1) 25^3 : 25^2 = 25
2) 25^4 : 25^2 = 25^2 = 625

Let's write some formulas for this:
1) a^m*a^n = a^(m+n)
2) a^m:a^n=a^(m-n)
3) (a^m)^n=a^(m*n)
4) (-a)^n=a^n    (If n is odd)
     (-a)^n=-a^n   (If n is even)