1. а) 5^(-4)*5^(2) = 5^(-4+2) = 5^(-2)
б) 12^(-3):12^(-4) = 12^(-3-(-4)) = 12^1 = 12
в) (3^(-1))^(-3) = 3^(-3*(-1)) = 3^3
2. а) (a^(-5))^4*a^22 = a^(-5*4+22) = a^(-20+22) = a^2
б) 0.4*50*x^(6-5)*y^(-8+9) = 20*x*y
3. а) 6*x^(-4*(-1))*y^(3*(-1)) = 6*x^4*y^(-3)
б) ((2b^3)/(3a^4))*10a^7*b^3 = (20/3)*b^(3+3)*a^(7-4) = (20/3)*b^6*a^3
4. = (2^(-6)*2^(-6))/2^(-21) = 2^(-6-6+21) = 2^9 = 512
5. = 22,4*10^(-5+3) = 22,4*10^(-2) = 2,24*10^(-1)
6. = (x^(-1)-y^(-1))(x-y) = x^(-1)*x+x^(-1)*y-y^(-1)*x-y^(-1)*y = y/x-x/y = (y^2-x^2)/xy