Year 8
Intro to
Laws of
ALGEBRA
Miss Huynh
Today’s Learning Goals:
●
●
●
You will understand how index laws are used to
allow us to perform simplifications without
writing out all the factors.
You will be able to simplify expressions with the
use of the index law.
You will be able to simplify expressions by
removing the brackets.
3
Index Law
The index of a number says how many times
to use the number in a multiplication. It is
written as a small number to the right and
above the base number. The plural of index is
indices.
01
02
Meeting them
Activities
Expansion Law
(raising a power to another power)
We need law which allow us to simplify without brackets. We
call these expansion laws.
This law states that when raising a power to another power,
the indices are multiplied.
Simplify using the expansion law:
2
3
(5 )
= 5?x?
= 5?
= 15625
Which answer is correct?
(hi) 2
a)
b)
c)
d)
hi
hi + hi
h2i2
h+h+h+h
Complete the following questions from 6A
Exercise 3 (p. 108) and 6B Exercise 1 (p. 111)