1. Rules for Indices
3rd Year Maths

2. 1. Multiplying/Dividing Numbers with Indices
52 x 54 = Add the two indices
= Subtract the indices

3. 2. Raising the Power of a Number to a Power
To raise the power of a number to a power......
(23)4 = 212 = 4096
...we multiply the powers then work it out!

4. 3. The Power of Zero
Any number to the power of 0 is 1 50 = = = 1

5. Questions to Complete:
Page 180: Q1

6. 4. Negative Powers
Take an example = 3 x 3 x 3 = 27...So we multiply the number by itself three times. For its the reverse...so we divide = = Similarly... = 42

7. Questions to Complete Q3 Q9

8. 5. Fractional Indices
Rule: X1/n = 81/3 = = 2 Rule: Xm/n = ( )m 82/3 = ( )2 = (2)2 = 4

9. 6. A Product or a Quotient to a Power
Rule: xyn = xn yn Example: (4 x 3)2 = 42 x 32 = 16 x 9 = 144 Rule: ( )n = Example: ( )2 = = = 4

10. Questions to Complete
Q2 – Page 180 Q5 Q8