Take Note Properties: Zero and Negative Exponents

Zero as an Exponent For every nonzero number a , a 0 = 1 . eh comma , eh to the , equals 1 .

Examples

• 4 0 = 1 4 to the , equals 1
• ( − 3 ) 0 = 1 open negative 3 close to the . equals 1
• ( 5.14 ) 0 = 1 open , 5.14 , close to the . equals 1

Negative Exponent For every nonzero number a and integer n, a − n = 1 a n . eh super negative n end super , equals , fraction 1 , over eh to the n end fraction . .

Examples

• 7 − 3 = 1 7 3 7 super negative 3 end super , equals , fraction 1 , over 7 cubed end fraction
• ( − 5 ) − 2 = 1 ( − 5 ) 2 open , negative 5 , close super negative 2 end super . equals . fraction 1 , over open , negative 5 , close squared end fraction