3.3 Exponent Laws Part 1
7
3.3 Exponent Laws Part 1 February 26, 2013 Lesson 3 Product Law & Quotient Law Example 1: 2 2 x 2 3 For the following examples write each product of powers as a single power. Then, evaluate the power. What do you notice?
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Transcript of 3.3 Exponent Laws Part 1
3.3 Exponent Laws Part 1 February 26, 2013
Lesson 3
Product Law & Quotient Law
Example 1:
22 x 23
For the following examples write each product of powers as a single power. Then, evaluate the power.
What do you notice?
3.3 Exponent Laws Part 1 February 26, 2013
What do you notice?
An Experiment
1. Choose a base2. Choose an exponent3. Multiply that power by the same base raised to a different exponent. What's the answer?
Product Law
When multiplying powers with the same base, add the exponents to write the product as a single power.
(a)m × (a)n = (a)m+n
3.3 Exponent Laws Part 1 February 26, 2013
Example 2: 43 x 45
Example 3: (-3)2 x (-3)3
3.3 Exponent Laws Part 1 February 26, 2013
Example 4:
25 / 23
For the following examples write each quotient as a single power. Then, evaluate the power.
What do you notice?
What do you notice?
An Experiment
1. Choose a base2. Choose an exponent3. Divide that power by the same base raised to a different exponent. What's the answer?
3.3 Exponent Laws Part 1 February 26, 2013
Quotient Law
When dividing powers with the same base, subtract the exponents to write the quotient as a single power.
(a)m ÷ (a)n = am-n
Example 5: 45 ÷ 42
Example 6: (-3)10 / (-3)7
3.3 Exponent Laws Part 1 February 26, 2013
Using the product or quotient law create an expression that equals 45
3.3 Exponent Laws Part 1 February 26, 2013
Assignment:
page 105-107 # 1, 5-13, 22
