Question

Упростите выражение (5x³ y)³(2x²y⁵)⁴

Answer 1

$(5x^3y)^3(2x^2y^5)^4=5^3x^{3*3}y^32^4x^{2*4}y^{5*4}=5^3*2^3*2x^9x^8y^3y^{20}= \\ \\ =(5*2)^3*2*x^{9+8}y^{3+20}=10^3*2*x^{17}y^{23}=1000*2*x^{17}y^{23}= \\ \\ =2000x^{17}y^{23}$