(1)x的n次方=2,y的n次方=3,求(x²y)的2n次方的值
(2)已知(2x)的n次方=2,(3y)的n次方=3,求(6xy)的2n次方的值
(1)x的n次方=2,y的n次方=3,求(x²y)的2n次方的值
(2)已知(2x)的n次方=2,(3y)的n次方=3,求(6xy)的2n次方的值
(1)
(x²y)的2n次方=(x²y)^(2n)=[x^(n)] ^4 * [y^(n)]^2=2^4 * 3^2=16*9=144
(2)
(6xy)的2n次方=[(6xy)^n]^2={ [(2x)的n次方] * [3y)的n次方] }^2=6^2=36
(x²y)的2n次方
=X^4n*y^2n
=(x^n)^4*(y^n)^2
=2^4*3^2
=144
(6xy)的2n次方
=(2x*3y)^2n
=(2x)^2n*(3y)^2n
=2^2*3^2
=36