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Laws of Exponents. Exponential Notation Base Exponent Base raised to an exponent.

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Presentation on theme: "Laws of Exponents. Exponential Notation Base Exponent Base raised to an exponent."— Presentation transcript:

1 Laws of Exponents

2 Exponential Notation Base Exponent Base raised to an exponent

3 Goal To write simplified statements that contain distinct bases, one whole number in the numerator and one in the denominator, and no negative exponents. Ex:

4 Description of Lesson This power point will address the laws of exponents in the following manner: 1.Explore how the rule works. 2.State the rule. 3.Provide an example with a solution. 4.Provide extra examples (Find me to get solutions)

5 Exploration Evaluate the following without a calculator: 3 4 = 3 3 = 3 2 = 3 1 = Describe a pattern and find the answer for: 3 0 = 81 27 9 3 1 ÷ 3

6 Zero Power Anything to the zero power is one Can “a” equal zero? a 0 = 1 No. You can’t divide by 0.

7 Exploration Simplify:

8 Product of a Power If you multiply powers having the same base, add the exponents.

9 Example Simplify:

10 Practice Simplify the following expressions:

11 Exploration Simplify:

12 Power of a Power To find a power of a power, multiply the exponents.

13 Example Simplify:

14 Practice Simplify the following expressions:

15 Exploration Simplify:

16 Power of a Product If a base has a product, raise each factor to the power

17 Example Simplify:

18 Practice Simplify the following expressions:

19 Negative Powers A simplified expression has no negative exponents.

20 Example Simplify:

21 Example Simplify:

22 Practice Simplify the following expressions:

23 Exploration Simplify:

24 Quotient of a Power To find a quotient of a power, subtract the bottom exponent from the top if the bases are the same.

25 Example Simplify:

26 Practice Simplify the following expressions:

27 Exploration Simplify:

28 To find a power of a quotient, raise the denominator and numerator to the same power. Power of a Quotient

29 Example Simplify:

30 Practice Simplify the following expressions:


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