Question

простити вираз: (10x^2 y^5)^3 * (-0.1x^4 y^2)^4

Answer 1

(10x^2 y^5)^3 = 10^3 * (x^2)^3 * (y^5)^3 = 1000x^6y^15.

(-0.1x^4 y^2)^4 = (-0.1)^4 * (x^4)^4 * (y^2)^4 = 0.0001x^16y^8.

(1000x^6y^15) * (0.0001x^16y^8) = 1000 * 0.0001 * x^(6+16) * y^(15+8) = 0.1x^22y^23.

= 0.1x^22y^23.