1. Indices and Exponential Graphs
Learning Outcomes
I can add, subtract, multiply and divide terms containing indices
I can calculate with negative indices
I can calculate with fractional indices and represent as roots
I can write very large and very small numbers in standard form
I can add, subtract, multiply and divide in standard form
I can solve equations with indices
I can recognise and draw graphs of exponential functions, y=aⁿ, y=a-ⁿ
I can use exponential graphs in real life situations
Approx Time: 3 periods

2. Indices Indices am x an = am+n (add indices when multiplying)
1) x2 x x8 =
2) x5 x x-2 =
am ÷ an = am-n (subtract indices when dividing)
1) x6 ÷ x4 =
2) 30x5 ÷ 10x-2 =
(am)n (when we have a number in index form raised to a power we multiply the indices)
1) (x2)5 =
2) (3x3)2 =
3) (4x2y3)3 =
a0 = (any number t the power of 0 is equal to 1)
1) x0 =
2) p0 =

3. Applying the Laws of Indices
b) 8 1/3
c) 32 1/5
d) 43/2
e) 8 5/3
f) 32 4/5
g) 16 3/4 N N2 N3 N4 N5 1 2 4 8 16 32 3 9 27 87
243 64 5 25
125 6 36
216
You need to know:

4. Negative Indices Indices Rule: a-n = 1 an
To evaluate a number in index form with a negative index, You simply turn the term upside down and remove the minus sign
a) /2
b) /3

5. Indices
Additional Notes

7.                 Indices and Exponential Graphs
Learning Outcomes:
At the end of the topic I will be able to
Can Revise
Do Further  
I can add, subtract, multiply and divide terms containing indices
I can calculate with negative indices
I can calculate with fractional indices and represent as roots
I can write very large and very small numbers in standard form
I can add, subtract, multiply and divide in standard form
I can solve equations with indices
I can recognise and draw graphs of exponential functions, y=aⁿ, y=a-ⁿ
I can use exponential graphs in real life situations        
Approx Time: 3 periods      