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Get Full AccessInteger Exponents
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What you will learn from this videoWhat you will learn
 About negative exponents!
 How to do operations with negative exponents.
 That we can use this knowledge to help us look at microorganisms, help wildlife, and even learn about elements!

Discussion Questions
Before Video
What is an exponent? What are the names of the different parts of an exponent?
ANSWERExponents represent repeated multiplication. Exponents have a base and a power.
4 is the base (the number being multiplied) and 9 is the power (the number of times 4 is multiplied).
49 = 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 = 262,144
When I multiply two exponents with the same base, I can keep the same base and add the powers. Sample answer: 2^{3} × 2^{2} = 2^{3} + 2 = 2^{5}.
When I divide two exponents with the same base, I can keep the same base and subtract the powers. Sample answer: 2^{5} ÷ 2^{3} = 2^{5 – 3}= 2^{2}.
After Video
What is the relationship between the following expressions: 2^{3}, 2^{2}, 2^{1}, 2^{0}, 2^{–1}, 2^{2}ANSWEREach exponential expression is 12 the value of the one before it: 8, 4, 2, 1, [ggfrac]1/2[/ggfrac], [ggfrac]1/4[/ggfrac].
A number raised to a negative power is the same as 1 over that same number raised to the positive power.
2 ×[ggfrac]1/10^{23}[/ggfrac] or [ggfrac]2/10^{23}[/ggfrac]
The rule doesn’t change. Keep the same base and add the powers. The only change is that I may be adding a negative number.
The rule doesn’t change. Keep the same base and subtract the powers. The only change is that I may be subtracting a negative number.

Vocabulary
 Exponential expression DEFINE
An exponential expression is another way of showing repeated multiplication. 2^{3} = 2 × 2 × 2.
 Base DEFINE
In an exponential expression, the base represents the number that is being multiplied. In 2^{3}, the 2 is the base.
 Power DEFINE
In an exponential expression, the power represents the number of times the base is multiplied by itself. In 2^{3}, the 3 is the power.
 Product of powers rule DEFINE
A rule of arithmetic with exponential expressions. It says that when you multiply two exponential expressions with the same base, you can keep the base and add the exponents.
 Quotient of powers rule DEFINE
A rule of arithmetic with exponential expressions. It says that when you divide two exponential expressions with the same base, you can keep the base and subtract the exponents.
 Equivalent expression DEFINE
Two expressions are equivalent if they represent the same quantity. For example, 2^{3}and 2 × 2 × 2 are equivalent expressions because they are both equal to 8.
 Exponential expression DEFINE

Reading Material

Practice Word Problems

Practice Number Problems

Lesson Plan

Teacher Guide