Simplify3(1)0

-7x-3·6x4

(7x)2y3x

(k2)4

(x9)0(x7)2

Homework Review

P. 453 #22-54E 22. 310 or 59,049 24. 26 or 64 26. x7

28. 4x2

30. 4m8n12

32. (-5)10x10y10 or 9,765,625x10y10

34. Skip!

36. 55a8 or 3125a8

38. -3888a7

40. 18x5

42. –a5b3

44. 8x5y3

46. 125/4 b12

48. -8t5

50. y12

52. a7b5c6

54. -108x7y8

Students will be able to Apply the dividing like bases and a quotient raised

to a power properties of exponents along with all of the previously learned properties of exponents

Dividing Like Bases: When dividing powers with the same base,

SUBTRACT the exponents.

3

8

33

383 53

xx 12

112x 11x

7

5

1111 7511 211

2111

aa

aaaaa

aa

12

3

If bases are alike and division is the operation then we can cancel

xxxx

34

3

4

72525

2

5

zzzzz

Simplify.

8

11

1010

81110 310

1)

1000

12

14

77

12147 27

2)

49

7

15

xx

715x8x

3)

6

133

abcba

13a2a

4) 613b c7b c

Raising a Quotient to a Power:

Examples:

n

ba

3

54

3

3

54

12564

n

n

ba

n

n

ba

1

1n

ba

1

1

5

2

ba

2ba

2ba

2ba

2ba

2ba1 1 1 1 1

22222

11111

ba

10

5

ba

3

2

4

x

2

yx

32

34

x 6

64x

6

34x

21

21

yx

2

2

xy

2

2

yx

3

3

22

xba

33

3132312

x

ba9

368xba

9

3632xba

3

3

2

aaa

2

2

2

xx

2

2

151

mmm