Question

已知x的(m+n)次方=3,x的(m-n)次方=2，求x的（4m-2n)次方等于多少？

Answer 1

x^ (m+n) =3, 即： (x^m) * (x^n) =3
x^ (m-n) =2, 即： (x^m) / (x^n) =2
(x^m)^2 =6, (x^n)^2 = 3/2
x^ (4m -2n) =(x^(4m)) / ( x^(2n))= (x^m)^ 4 / (x^n)^2 = ((x^m)^2)^2 / (x^n)^2
=6^2/(3/2) =24

Answer 2

x的（4m-2n)次方
=x的【（m+n）+3（m-n）】次方
=x的（m+n）次方×x的3（m-n）次方
=【x的（m+n）次方】×【x的（m-n）次方】的3次方
=3×2的3次方
=3×8
=24

Answer 3

x的m+n次方乘以x的m-n次方=x的2m次方=6 则x的4m次方=36 x的m-n次方除以x的m+n次方=x的-2n次方=2/3 则所求即可用 x的4m次方乘以x的-2n次方 即36x2/3=24

Answer 4

x^(m+n) =3
( x^(m-n) )^3 = x^(3m-3n）= 2^3=8
以上两式相乘
即x^(4m-2n）=24

Answer 5

24