MPM 2D0
Date:
Powers and Exponents Laws
1. A power consists of a base and an exponent.
25 Example: 2. A power is a short way of writing a multiplication of identical factors.
Examples:
a) 94 =
b) (­3)2 =
c) y5 =
3. Complete the following chart.
Exponential Form Base
Exponent
­3
4
Expanded Form
Evaluated
(­2)4
­ 24
­25 (2m)(2m) .
1
4. Exponent Laws
Law of Exponents for Multiplication
When multiplying powers with the same base ___________________
____________________________
Law of Exponents for Division
When dividing powers with the same base _________________________
_____________________________
Law of Exponents for Powers
When raising a power to an exponent, _____________________________
_____________________________ Law of Exponents for Products
When a product is raised to an exponent _____________________
_____________________________
Law of Exponents for Quotients
When a quotient is raised to an exponent _____________________
_____________________________ Zero Exponent
Any base raised to an exponent of zero equals ________________ Integral Exponents
When evaluating a power with a negative exponent, take the reciprocal of the base and make the exponent positive.
note: Power laws do not apply when powers are being ADDED or SUBTRACTED
.
2
5. Simplify the following using the Exponent Laws: .
3
6. Evaluate:
7. Evaluate when x = ­2 and y = 3.
Homework: Worksheet # 1, 2, 3 4
5