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Exponent Rules Answer Key

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Multiplying Like Bases
#1

(23)(25)

28

#2

34·3-6

3-2

#3

x4·x7

x11

#4

x-7·x8


x

#5

x2y3·x3y-5

x5y-2

Dividing Like Bases
#1

45/42

43

#2

x2/x7

x-5

#3

(3x5)/(6x3)

x2/2

#4

(m5p2)/(m4p)

mp

#5

(2x-4y-3)/(4x-3y2)

(x-1y-5)/2

Negative Exponents
#1

Use only positive exponents:

b-6

1/b6

#2

Use only positive exponents:

x-10

1/x10

#3

Use only positive exponents:

(a4b-3)/(a2b4)

a2/b7

#4

Use only positive exponents:

x-4y7·x2y-10

y17/x6

#5

Use only positive exponents:(43a-5b4c3)/(45a9b-3c6)

b7/(16a14c3)

Zero Exponents
#1

w0

1

#2

2390

1

#3

x3y0·x-3

1

#4

(c4w-3)/(c2w0)

c2/w3

#5

(h3j-5k4)/(h-5j3k4)

h8/j8

Powers of Products/Quotients
#1

(2w3)2

4w6

#2

Use only positive exponents:

(x2y4)-3

1/(x6y12)

#3

(x/3)3

x3/27

#4

(34a4b4c4)2

9a8b8c8

#5

Use only positive exponents:

(x-4y5z-3)-4

(x16z12)/y-20

Final Question

(4x0y-2z3)/(8xy-5z3)

y3/(2x)