Question

负1/3的2017次方乘以27的672次方等于多少？

Answer 1

27^672=(3³)^672
=3^2016
∴(-1/3)^2017×27^672
=(-1/3)^2017×3^2016
=(-1/3)×(-1/3)^2016×3^2016
=(-1/3)×［(-1/3)×3］^2016
=(-1/3)×(-1)^2016
=-1/3