Block 1

Indices Summary

Indices

Another word for powers

Multiplying

am X an

Dividing

am ÷ an

= a= am+nm+n

= a= am – nm – n

y2 X y8 = y10

44 X 47 = 411

2b9 X 5b3 = 10b12

t7 ÷ t3 = t4

18m6

3m2= 6m4

Another Rule(ya)b

(g3)2

Please Note not the same as g3 X g2

= yab

= g6

= g5

Negative Indices

a0 = 1

a-m = 1

am

so 12m-3 = 12 X 1 m3

= 12 m31

-a 2= 1

Fractional Indices

• The root still on the bottom

• Top number is the power.

= (e√a )ff/e

16= (2√16)= 4= 64

33//22

33

33

a

Two to Remember

Save Brain Energy

Switch to half power

√x

= x½

root of the problem

x-2

I’m Not Sure This is Right?

Negative Thinking

= 1 x2

I’m Positive

You Try

1. 16 2. 1000

3. 32 4. 49

5. 64 6. 81

33//22

33//22

22//33

22//33

44//55

¾

= 64 = 100

= 16 = 343

= 16 = 27