Exponent Rules Review Name________________________ Per_____
Multiplication
Part 1: Simplify each expression.
1.) 2 3 2 4 2.) 81 8 3 3.) t 4 t 4
4.) x 5 x 9 5.) 3 4 x 3 x 5
Part 2: Find the product of the expressions.
6.) ( 6 x 2 )( 4x 2 ) 7.) (3 x 3 y 2 )(-6 y 5 ) 8.) (5 p 3 )( m 8 p 2 )
9.) (10 g 3 h 8 v 6 )(11 gh 8 ) 10.) ( 4 f 9 h 3 )( 5 f 6 )( 3h 2 )
11.) 2 2 x 3 y 4 ( 3) 2 x 4 y 4 12.) *Challenge: (3 x y z )( y z )
a b c f g
Power to a Power
Part 1: Find the product. Expand if it helps you.
13.) ( p 2 ) 5 = 14.) ( x m ) 2 =
15.) ( 2 3 x ) 2 = 16.) 2 (3a 2 ) 3
17.) ( 2 x ) 2 18.) (10 2 ) 3
19.) ( 3 2 x 6 ) 5 20.) ( 7 j 2 ) 3
2 5
8x 2 3x 2
21.) 2 22.) 2
2x 2y
Source: https://www.wtps.org/cms/lib/NJ01912980/Centricity... ·
Division
Part 1: Simplify to find the quotients.
a8 7 11 7 b5
23.) 3
24.) 25.)
a 78 b4
x 10 12 g 8 h 4 4 p 11
26.) 27.) 28.)
x4 g 3 h 5 8 p6
c9 2 x3 y8 3 x 14 y 11
29.) 30.) 31.)
6c 4 4 y2 18 x
2
Negative Exponents
Rewrite without negative exponents and simplify.
32.) 6 c 3 d 2 33.) 6 x 4 x 10 34.) 2 0 x 3
4
0
a 12 b 3 5 x 13 y 5 z 2
36.) 37.) 38.) ( g 3 g 2 ) 4
35
5 5 2
a b
3 2
4 c 5 x 8 (2 x 3 ) ( x 4 ) 2
39.) 0 40.) 11 41.) 11
8d y 8x
Source: https://www.wtps.org/cms/lib/NJ01912980/Centricity... ·