1. Warm Up On your next available page create a table of contents labeled UNIT 1 Using rational and irrational #’s to solve problems w/ exponents and roots

2. Page 1 Exponents … What do you notice? 5 1 = 1 x 5 = 5 5 2 = 1 x 5 x 5 = 25 5 3 = 1 x 5 x 5 x 5 = 125 5 4 = 1 x 5 x 5 x 5 x 5 = 625 5 5 = 1 x 5 x 5 x 5 x 5 x 5 = 3,125

3. Exponents

4. Negative Exponents

5. Negative exponents Negative means to divide one by the number (base) the number of times describes by the exponent.

6. What do you notice? Positive Exponent 5 1 = 5 = 5 5 2 = 5 x 5 = 25 5 3 = 5 x 5 x 5 = 125 5 4 = 5 x 5 x 5 x 5 = 625 5 5 = 5 x 5 x 5 x 5 x 5 = 3,125

7. Consolidating 2 x 2 x 2 x 3 x 3 x 3 x 3 x 4 x 4 3 x 3 x 5 x 2 x 2 x 3 x 5 N x N x Y x Y x Y x Y

8. Page 2 Expanded and Exponent Form Pick up where you left off yesterday

9. Foldable Exponent of 1 Exponent Of 0 Negative Exponent Product Law Quotient Law Power Law

10. Exponent of 1 If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143

11. Exponent of 0 If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1.

12. Negative Exponent If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1.

13. Product Law If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1. If 2 #’s have the same base and are being multiplied, keep the base and ADD the exponents

14. Quotient Law If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1. If 2 #’s have the same base and are being multiplied, keep the base and ADD the exponents If 2 #’s have the same base and are being divided, keep the base and SUBTRACT the exponents

15. Power Law If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1. If 2 #’s have the same base and are being multiplied, keep the base and ADD the exponents If 2 #’s have the same base and are being divided, keep the base and SUBTRACT the exponents If an exponent is outside parentheses MULTIPLY it to the exponent inside the parentheses.