9 − 2 9 super negative 2 end super

9 − 2 = 1 9 2 Use the definition of negative exponent .   = 1 81 Simplify . table with 2 rows and 3 columns , row1 column 1 , 9 super negative 2 end super , column 2 equals , fraction 1 , over 9 squared end fraction , column 3 cap usethedefinitionofnegativeexponent . . , row2 column 1 , , column 2 equals , 1 eighty first , column 3 cap simplify , . , end table

( − 3.6 ) 0 = 1 open negative 3.6 close to the . equals 1  Use the definition of zero as an exponent.

What is the simplified form of each expression?

1. 4 − 3 4 super negative 3 end super
2. ( − 5 ) 0 open negative 5 close to the
3. 3 − 2 3 super negative 2 end super
4. 6 − 1 6 super negative 1 end super
5. ( − 4 ) − 2 open negative 4 close super negative 2 end super

5 a 3 b − 2 5 , bold italic eh cubed . bold italic b super negative 2 end super

5 a 3 b − 2 = 5 a 3 ( 1 b 2 ) Use the definition of negative exponent .   = 5 a 3 b 2 Simplify . table with 2 rows and 3 columns , row1 column 1 , 5 , eh cubed . b super negative 2 end super , column 2 equals 5 , eh cubed . open , fraction 1 , over b squared end fraction , close , column 3 cap usethedefinitionofnegativeexponent . . , row2 column 1 , , column 2 equals . fraction 5 , eh cubed , over b squared end fraction , column 3 cap simplify , . , end table

1 x − 5 fraction 1 , over bold italic x super negative 5 end super end fraction

1 x − 5 = 1 ÷ x − 5 Rewrite using a division symbol .   = 1 ÷ 1 x 5 Use the definition of negative exponent .   = 1 · x 5 Multiply by the reciprocal of  1 x 5 , which is  x 5 .   = x 5 Identity Property of Multiplication table with 4 rows and 3 columns , row1 column 1 , fraction 1 , over x super negative 5 end super end fraction , column 2 equals 1 divides , x super negative 5 end super , column 3 cap rewriteusingadivisionsymbol . . , row2 column 1 , , column 2 equals 1 divides , fraction 1 , over x to the fifth end fraction , column 3 cap usethedefinitionofnegativeexponent . . , row3 column 1 , , column 2 equals 1 middle dot , x to the fifth , column 3 cap multiplybythereciprocalof . fraction 1 , over x to the fifth end fraction , comma . whichis . x to the fifth , . , row4 column 1 , , column 2 equals , x to the fifth , column 3 cap identitycap propertyofcap multiplication , end table

What is the simplified form of each expression?

1. x − 9 x super negative 9 end super
2. 1 n − 3 fraction 1 , over n super negative 3 end super end fraction
3. 4 c − 3 b 4 , c super negative 3 end super , b
4. 2 a − 3 fraction 2 , over eh super negative 3 end super end fraction
5. n − 5 m 2 fraction n super negative 5 end super , over m squared end fraction