已知a^2m=2,b^3n=3,求(a^3m)^2-(b^2n)^3的值(-1)^5·[(-3)^2]^2

问题描述:

已知a^2m=2,b^3n=3,求(a^3m)^2-(b^2n)^3的值
(-1)^5·[(-3)^2]^2

(a^3m)^2-(b^2n)^3
=a^6m-b^6n
=(a^2m)^3-(b^3n)^2
=2^3-3^2
=-1
(-1)^5·[(-3)^2]^2
=1·9^2
=81