math 9 ppt Q3 11th day. rational exponent.pptx

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1. You can use your calculator to evaluate each expression in column A. Compare each result with the value of the corresponding expression in Column B.

2. For each pair, what is the relationship between the denominator of the exponent and the index of the radical?

3. Work in Pairs Fill up the table of the correct answer. One row is filled up as an example.

4. In each part, the exponential expression and the radical expression have the same value. = 5   = -2   = 4   = 2  

5. Also, the denominator of the exponent is the same as the index of the radical. The result in the above activity suggest that = This conclusion is supported by an application of the Power Law for Exponents.  

6. Example: Consider the equation ). Using the properties of exponents, squaring both sides will give you Extracting the square root of both sides will give you  

7. Look at the expression below.

8. What can you observe about the exponents of the given expressions? Do you think you can still apply the understanding of the laws of exponents to simplifying the given examples? Why? Questions:

9. Answer the following: a. How do you define rational exponent? b. How do you illustrate rational exponent?

10. A rational exponent is an exponent that can be expressed as where m and n are integers and n ≠ 0. Radical expressions can be written by using rational exponents.

11. “Quick Check 4.1 on page 131

12. “Do Basic” on page 133, numbers 1 to 5