X的N次方=5,Y的N次方等于3则(XY)的2N次方等于多少

问题描述:

X的N次方=5,Y的N次方等于3则(XY)的2N次方等于多少

(xy)2n=(x^n)^2* (y^n)^2= 5^2*3^2=225

(XY)^(2N)=X^(2N) * Y^(2N)=(X^N)^2 * (Y^N)^2=5^2 * 3^2=25*9=225

(XY)^2N
=[(XY)^N]^2
=[(X^N)(Y^N)]^2
=(5x3)^2
=15^2
=225

x^n=5,y^n=3,
(xy)^2n
=x^2n*y^2n
=(x^n)^2*(y^n)^2
=5^2*3^2
=25*9
=225