Exponent Rules Worksheet #1
Section I:
Rule #1:_______________________
A) Write each problem in form of a product then write your answer in form of an exponent.
[Ex. 32 X 36 = (3 X 3) X (3 X 3 X 3 X 3 X 3 X 3) = 38]
1) 23 * 25 = ?
2) 7 * 74 = ?
3) x4 * x3 = ?
B) Describe what patterns you see from the problems above.
C) Is there a “short cut” in finding the answer to the problems above? If so, write a “rule” for
that “short cut”?
Section II:
Rule #2:_______________________
A) Write each problem in form of a product then write your answer in form of an
exponent. [Ex. 36 / 32 = (3 X 3 X 3 X 3 X 3 X 3) / (3 X 3) = 34]
1) 97 / 93 = ?
2) 86 / 8 = ?
3) x5 / x2 = ?
B) Describe what patterns you see from the problems above.
C) Is there a “short cut” in finding the answer to the problems above? If so, write a “rule”
for that “short cut”?
Reflection Problems Worksheet #1: Product Rule & Quotient Rule of Exponents
Find the product or quotient. Write your answer using exponents.
1) 106 * 107 = ?
15) j3 * j-10 = ?
2) 8 * 85 * 82 = ?
16) 2b-4 * 8b-5 = ?
3) 720 / 74 = ?
17) x3 / x7 = ?
4) 912 / 9 = ?
18) 16p3 / 24p5 = ?
5) a4 * a8 = ?
6) z3 * z * z2 = ?
7) x9 / x5 = ?
8) 3n4 * 6n9 = ?
9) w7 * 8w4 = ?
10) 4r5 * 2r3 = ?
11) 24m11 / 18m3 = ?
12) 28s15 / 42s12 = ?
13) 7y8 / y5 = ?
14) 3a * 4a4 = ?
28a2
Find the missing exponent.
19) a? / a3 = a5
20) y7 * y? = y11
21) b? * b6 = b7
22) z9 / z? = z4