Exponent Rules Review Worksheet - Hazleton Area High School

[Pages:2]Exponent Rules Review Worksheet NOTE: Anything to the zero power equals 1! Product Rule: When multiplying monomials that have the same base, add the exponents.

xm xn xmn

Example 1: x x3 x4 x134 x8 Example 2: 2x2 y 3x3 y4 23 x2 x3 y y4 6x5 y5

Power Rule: When raising monomials to powers, multiply the exponents.

xm n xmn

Example 3: (x2y3)4 = x2 4 y3 4 = x8y12

Example 4: (2x3yz2)3 = 23 x3 3 y3 z2 3 = 8x9y3z6

Quotient Rule: When dividing monomials that have the same base, subtract the exponents.

xm xmn xn

Example 5:

x3 x2

x3(2) x5

Example 6: 56 562 54 52

Example 7:

36m3n5 9mn4

36 m3 9 m

n5 n4

4m2n

Simplify each of the following. Copy the problem. Work on your own paper.

1) a a2 a3

2) (2a2b)(4ab2) 3) (6x2)(-3x5)

4) b3 b4 b7 b

5) (3x3)(3x4)(-3x2)

6) (2x2y3)2

7) (5x2y4)3

8) (6x4y6)3

9) (4x3y3)3

10) (7xy)2

11) x3 x

18c3 12)

3c2

13) 9a3b5 3ab2

14) 48c2d 4 8cd

22 y6 z8 15) 2 yz7

16) x2 x7 21) 8x0 26) 2x3

8x4

17) x2 7

22) 34 xy7

27) x3 y4

18) 2x4 5

19) 2x3 7x3

20) 70

23) 34

24) 6x0 y8 2y2 4 25) x 2y x 2y

28) 6x5 3x5 x0

29) 3st12 3

3m2n7 5

30)

m

Exponent Rules Review Worksheet NOTE: Anything to the zero power equals 1! Product Rule: When multiplying monomials that have the same base, add the exponents.

xm xn xmn

Example 1: x x3 x4 x134 x8 Example 2: 2x2 y 3x3 y4 23 x2 x3 y y4 6x5 y5

Power Rule: When raising monomials to powers, multiply the exponents.

xm n xmn

Example 3: (x2y3)4 = x2 4 y3 4 = x8y12

Example 4: (2x3yz2)3 = 23 x3 3 y3 z2 3 = 8x9y3z6

Quotient Rule: When dividing monomials that have the same base, subtract the exponents.

xm xmn xn

Example 5:

x3 x2

x3(2) x5

Example 6: 56 562 54 52

Example 7:

36m3n5 9mn4

36 m3 9 m

n5 n4

4m2n

Simplify each of the following. Copy the problem. Work on your own paper.

1) a a2 a3

2) (2a2b)(4ab2) 3) (6x2)(-3x5)

4) b3 b4 b7 b

5) (3x3)(3x4)(-3x2)

6) (2x2y3)2

7) (5x2y4)3

8) (6x4y6)3

9) (4x3y3)3

10) (7xy)2

11) x3 x

18c3 12)

3c2

13) 9a3b5 3ab2

14) 48c2d 4 8cd

22 y6 z8 15) 2 yz7

16) x2 x7 21) 8x0 26) 2x3

8x4

17) x2 7

22) 34 xy7

27) x3 y4

18) 2x4 5

19) 2x3 7x3

20) 70

23) 34

24) 6x0 y8 2y2 4 25) x 2y x 2y

28) 6x5 3x5 x0

29) 3st12 3

3m2n7 5

30)

m

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download