Verified answer

a^m * a^n = a^(m + n)

a^m / a^n = a^(m - n)

(a^m)^n = a^(mn)

a^m * b^m =(ab)^m

------

5^2 * 5^9 = 5^(2 + 9) = 5^11

2^8 : 2^4 = 2^(8 - 4) = 2^4

(3^3)^2 = 3^(3*2) = 3^6

4^8 * 7^8 = (4*7)^8 = 28^8

(x^2)^5 : x^3 = x^(2*5) : x^3 = x^10 : x^3 = x^(10 - 3) = x^7