EXPONENT RULES & PRACTICE
[Pages:2]EXPONENT RULES & PRACTICE
1. PRODUCT RULE: To multiply when two bases are the same, write the base and ADD the exponents. ?
Examples:
A. ?
B. 2 ? 2 2
C.
2. QUOTIENT RULE: To divide when two bases are the same, write the base and SUBTRACT the exponents.
Examples:
A.
B.
3
C.
3. ZERO EXPONENT RULE: Any base (except 0) raised to the zero power is equal to one.
Examples:
A. 1
B. 6 1
C. 7 1
4. POWER RULE: To raise a power to another power, write the base and MULTIPLY the exponents. ?
Examples:
A.
B. 3 3
C.
5. EXPANDED POWER RULE:
Examples: A. 2 2 8 B. 6 6 36
C.
D.
6. NEGATIVE EXPONENTS: If a factor in the numerator or denominator is moved across the fraction bar, the sign
of the exponent is changed. Examples:
A.
B.
4
C.
4
D.
E.
32
6
F.
G.
2
CAUTION:
For example:
3
REMEMBER: An exponent applies to only the factor it is directly next to unless parentheses enclose other factors.
Examples:
A. 3 33 9
B. 3 9
Simplify:
1. 3 ? 4
2. 4 ? 2
3. ?
4. 2 ? 2
5.
6.
7. 8
8. 9
9.
10.
11.
12.
13. 2
14. 2
1. 192
2. 8 3.
4. 4
5. 36
6.
7. 1
8. 1 9. 10. 11. 3 12. 2
13. 4
14. 16
15.
EXPONENTS PRACTICE
15.
16.
17.
18.
19.
20. 7
21.
22.
23. ?
24.
25. ?
26.
27.
28.
29.
30.
31.
32.
33. 2
34.
35. 4
36. 52
37. 38.
EXPONENTS PRACTICE ANSWERS
16.
17.
18.
19.
20.
21.
22. 16
23.
24.
25.
26.
27.
28. 4
29.
30.
31. 2
32.
33.
34.
35.
36.
37.
38.
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