如果(x^2y)^a*(xy^bz)^3*(y^2Z^3)^2=x^5y^8z^c,求a,b,c的值
问题描述:
如果(x^2y)^a*(xy^bz)^3*(y^2Z^3)^2=x^5y^8z^c,求a,b,c的值
答
等式左边=(x^2a)(y^a) * (x^3)(y^3b)(z^3) * (y^4)(z^6)=[x^(2a+3)] * [y^(a+3b+4)] * [z^(3+6)]=[x^(2a+3)] * [y^(a+3b+4)] * [z^9]而等式右边=(x^5) * (y^8) * (z^c)等式两边的指数系数分别对应相等,可得出:2a+3=...