(-1/3)^101*(-3)^100

0

-1/3

原式＝(-1/3)^100*(-3)^100*(-1/3)
={(-1/3)*(-3)}^100*(-1/3)
=1^100*(-1/3)
=-1/3

-3的101次方是个负数！而且肯定比3的100次方大，所以答案肯定是个负数！
原式＝3^100-3^101
＝3^100-3^100×3
＝3^100(1-3)
＝-2×3^100

=(-1/3)*(-1/3)^100*(-3)^100
=(-1/3)*{(-1/3)*(-3)}^100
=(-1/3)*1^100
=(-1/3)

(-1/3)^1*(-3)^1=1
(-1/3)^2*(-3)^2=1
(-1/3)^3*(-3)^3=1
..
..
..
..
(-1/3)^100*(-3)^100=1
所以
(-1/3)^101*(-3)^100
=(-1/3)^100*(-3)^100*(-1/3)
=-1/3