已知n为自然数,且x的2n次方=3,求(-1/3x的3n次方)的4次方÷[4(x的3次方)的2n次方] 的值

问题描述:

已知n为自然数,且x的2n次方=3,求(-1/3x的3n次方)的4次方÷[4(x的3次方)的2n次方] 的值

(-1/3x^3n)^4/[4(x^3)^2n]=[1/81*x^(12n)]/[4x^(6n)]
=1/81*1/4*x^(6n)=1/81*1/4*[x^(2n)]^3
=1/81*1/4*(3^3)=1/12