Вычислить : 1) 2^4/5*2^11/5 ; 2) 5^2/7*5^5/7 ; 3) 9^2/3* 9^1/6 ; 4)4^1/3:4^5/6 ; 5) (8^1/2)^-4 .

1) 2^4/5 * 2^11/5 = 2^(4/5 + 11/5) = 2^((4 + 11)/5) = 2^(15/5) = 2^3 = 8;

2) 5^2/7 * 5^5/7 = 5^(2/7 + 5/7) = 5^(7/7) = 5^1 = 5;

3) 9^2/3 * 9^1/6 = 9^(2/3 + 1/6) = 9^(4/6 + 1/6) = (3^2)^(5/6) = 3^(5/3);

4) 4^1/3 : 4^5/6 = 4^(1/3 - 5/6) = 4^(2/6 - 5/6) = (2^2)^(-1/2) = 2^(-1) = 1/2;

5) (8^1/2)^-4 = 8^(1/2 * (-4)) = 8^(-2) = (2^3)^(-2) = 2^(-6) = 1/2^6 = 1/64.