1. Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004

2. Index / Exponent Notation Section I – Index Notation (Review) a 5 =

3. Section J – Negative Bases (-2) 2 = (-2) 6 = -2 2 = -2 6 = (-2) 3 = (-2) 5 = -2 3 = (-x) 8 = -x 8 = (-x) 7 =-x 7 =

4. Using your calculator find: 5) 8 5 6) (-4) 4 7)-9 4

5. Laws of Exponents (indices) Section K – Index Laws

6. Laws of Exponents (indices) Multiply the bases, add the exponents

7. Simplify:

8. Laws of Exponents (indices) Multiply the bases, add the exponents Divide the bases, subtract the exponents

9. Simplify:

10. Laws of Exponents (indices) Multiply the bases, add the exponents. Divide the bases, subtract the exponents. Exponent to an exponent, multiply the exponents.

11. Simplify:

12. Express as a Prime Number base 7) 9  3 a 9) 49 x + 2

13. Laws of Exponents (indices) Multiply the bases, add the exponents. Divide the bases, subtract the exponents Power to a power, multiply the exponents. Quantity to an exponent  everyone gets the exponent

14. Remove the brackets of: 10) (3a) 2 11)

15. Simplify 12) (5a 4 b) 2 13)

16. Zero and Negative Exponents

17. Any quantity to the power of zero equals 1. If an exponent is negative, change the location to make the exponent positive. A fraction to a negative exponent equals the reciprocal to the positive exponent.

18. Simplify

19. Write without brackets or negative indices: 18) 3b -1 19) (3b) -1 20) (3n -2 ) -1

20. Write the following as powers of 2, 3, or 5.

21. Write in non-fractional form

22. Homework Exercises 6j, pg190 – #1fgjk, #2bi, #3af Exercises 6k, pg 192 – #1h, #2dh, #3dh, #4fin, #5hi, #6bf, – #7fi, #8bd, #9cdm, #10egk, #11dfj, #15gh