(−2)6=26=(−2)2×(−2)2×(−2)2=22×22×22=26 | (−a)x=ax | Negative base and even exponent |
(−2)5=−(25)=(−2)2×(−2)2×(−2)=22×22×(−2)=−(25) | (−a)x=−(ax) | Negative base and odd exponent |
20=122=2⋅2=2⋅2⋅121=2=2⋅120=1 | | Zero in the exponent with base a=0 |
2−3=2311=20=23+(−3)=23⋅2−3For this to be 1, we need2−3=231since23⋅231=2323=1 | a−x=ax1 | |
231=322=21=231⋅3=(231)3For this to be 2, we need231=32since(32)3=2 | an1=na | Unit fractions in the exponent |
232=322=22⋅31=(22)31=322 | anm=nam | General fractions in the exponent |