Algebra Textbook Volume 1 Student Edition wc

Practice 1.8A (cont.) Name_________________________________

Simplify

1) 8584=________________________________________________________________________

2) A3A7=________________________________________________________________________

3) 72847486=___________________________________________________________________

4) AB5A3B2=___________________________________________________________________

5) 6x3y65x4y4=________________________________________________________________

6) (5AB2)2=_____________________________________________________________________

7) (3x3y2)3=_____________________________________________________________________

In the problems below, small, elevated circles are exponents and larger
circles are coefficients.

Fill in the circles 11) 9  93 = 97
8) 525 =512

9) A B3  A2B =A5B6 12) x4 y  x y3 = x5 x6

10) 6x y2  xy = 24x3y4 13) A4B  5 A B6 = 40A6B7

92 | P a g e

Practice 1.8B Name_________________________________

Simplify:

1) 5652=____________________________________________________________________

2) 339=_____________________________________________________________________

3) AA2A3=____________________________________________________________________

4) x4x8=_________________________________________________________________________

5) x3yx2y2=_______________________________________________________________________

6) 5B23B3=_______________________________________________________________________

7) −6x47x5=________________________________________________________________________

8) −2A−4A7=________________________________________________________________________

9) (x5)2=_____________________________________________________________________________

10) (3x4)3=___________________________________________________________________________

Fill in the circles:

11) 727 =710

12) A A6=A9
13) 434 =412

14) x3y x y4=x8y10

15) A58A =40A9

16) (x )3=x15

93 | P a g e

Practice 1.8 C Name_________________________________

1) 8785=________________________________________________________________________

2) 113116=_____________________________________________________________________

3) C5CC2=_____________________________________________________________________

4) y4y2=_________________________________________________________________________

5) A3B3A2B=____________________________________________________________________

6) 9x66x3=_______________________________________________________________________

7) −8B24B5=______________________________________________________________________

8) −5w−9w4=_____________________________________________________________________

9) (A3)2=__________________________________________________________________________

10) (2AB2)3=_____________________________________________________________________

Fill in the circles:

11) 9 95=98

12) C4C =C11

13) 373 =315

14) A B4A5B =A10B8

15) −7C3 C =−42C9

16) (2A )2=4A14

94 | P a g e

Practice 1.8 D Name_________________________________

Simplify:

1) 7473=__________________________________________________________________________

2) 5655=__________________________________________________________________________

3) B4B3B=_______________________________________________________________________

4) w5w3=_________________________________________________________________________

5) y2z4yz5=_______________________________________________________________________

6) 7w48w6=______________________________________________________________________

7) −9A53A2=______________________________________________________________________

8) −4M3−9M5=_____________________________________________________________________

9) (B6)2=____________________________________________________________________________

10) (2x3)4=_________________________________________________________________________

Fill in the circles:

11) 838 =810

12) B B5=B7

13) 2122 =220

14) x y3x6y =x10y11

15) −4A7 A =24A12

16) (3w )2=9w10

95 | P a g e

1.9A Exponents and Division Name_________________________________

Again, the best way to do problems with exponents is to think of the meaning of the
exponents; then cancel. The first one is done for you.

Examples:

1) 65/63= 66666 = 66666 = 66 = 6  6 which equals 36.

666 666 1

2) 46/45= __________________________________________________________ = __________

3) x8/x2= __________________________________________________________ = __________

4) 10x5/2x= __________________________________________________________ = __________

5) 20A5B4/(4A3B3)= ____________________________________________________ = __________

6) −48xy3z2/(−8xy2z)= __________________________________________________ = __________

7) 63A3B4C5/(−9AB2C5)= __________________________________________________ = _________

8) 42x4y4z3/(7x3yz2) = _____________________________________________________ = _________

Fill in the circles:

9) 98/9 = 93
10) x /x4 = x2

11) 24A3B /( A B4)=6AB2

12) 35x6y5/( ) =−5x3y

13) /(7xy3)=8x2y2

14) A B7/(6A3B )=−9AB

96 | P a g e

Practice 1.9 B Name_________________________________

Simplify

1) 34/32=________________________________________________________________________________

2) 27/24=_______________________________________________________________________________

3) A8/A3=_______________________________________________________________________________

1. 16w9/(4w2)=______________________________________________________________________________

6) 35A6B8/(7A4B)=__________________________________________________________________________

7)
−54x4y3z2/(6x2y3z)=______________________________________________________________________

8)
−72A3B4C6/(−A3B3C)=____________________________________________________________________

9) 28x5y8z2/(4x3y7z)=_______________________________________________________________________

Fill in the circles:

9) 8 /83=86

10) M7/M =M5

11) 36x5y /( x y4)=−4xy3

12) 45A6B8/( )=9AB6

13) /(−7x3y4)=8xy2
14) A10B /(9A B2)= 2A3B4

97 | P a g e

Practice 1.9 C Name_________________________________

I. Simplify

1) 45/43=_________________________________________________________________________

2) 310/37=_________________________________________________________________________

3) B9/B4=_________________________________________________________________________

4) 21z11/3z4=_____________________________________________________________________

5) 32A12B8/(4A6B7)=_____________________________________________________________

6) −63x6y7z8/(−7x3y7z3)=_________________________________________________________

7) −28A5B3C4/(7A5BC2)=_________________________________________________________

8) 56x4y6z8/(8x3y)=______________________________________________________________

II. Fill in the circles:

9) 68/6 =62

10) Q9/Q =Q4 x y5)=−5xy3
11) −40x4y /(

12) /(−8x2y5)=6x3y

13) −45A5B6/ = −5A2B4

14) A8B /(−8A B6)=3A4B

98 | P a g e

Practice 1.9 D Name_________________________________

Simplify

1) 66/64=___________________________________________________________________________________
2) 28/25=___________________________________________________________________________________
3) C7/C2=___________________________________________________________________________________
4) 28M12/7M9=_____________________________________________________________________________
5) 48A9B7/(8A3B4)=_________________________________________________________________________
6) −45x7y9z/(−5x5y5z)=_____________________________________________________________________
7) 24A2B8C5/(−3A2B5C)=___________________________________________________________________
8) 56x6y7z8/(7x3y6z4)=______________________________________________________________________

Fill in the circles:

9) 913/9 = 97

10) N /N3=N5

11) 32x9y /( x y6) =−8x2y

12) 64A8B10/ =−8A4B6

13) /(−6A3B5) = 9A2B4
14) x10y /(5x y4) =−9x3y5

99 | P a g e