Question

已知x的m+n次方=3,x的m-n次方=2,则x的4m-2n次方=_____

Answer 1

x^(m+n)=3

x^(m-n)=2

x^(4m-2n)=x^[(m+n)+3(m-n)]

=x^(m+n)*[x^(m-n)]^3

=3*2^3

=3*8=24