Unit 4
In this example we simply add the indices or powers.
( x2 )3 ( x squared all cubed ) is equal to x6 ( x to the power of six ).
This example shows that to raise a power to a power, we multiply the indices.
Practice 1
Read out the following :
1) a2 + b2 = 5) 4b2 x 2b2 = 9) 6a2 - 3a2 =
If we wish to find the root in, for example,
n m
a
we must divide the index by the root
Practice 2
Section 3 Fractional and negative indices.
3 5
) is fraction and is therefore called a
fractional index.
X2 : x4 = x –2 ( x to the ( power of ) minus 2 ), which is called a negative index.
Practice 3
Read out following and say what their value is :
Vocabulary practice
Fillin the blank spaces in the following sentences :
1) Any number to the ____________ of 0 ( nought ) is equal to ___________
2) To divide powers we ____________the _____________________________
3) To ____________ a ______________to a power, we______________the
indices.
4) a to the _____________of five divided ___________ a _________________
5) The _________________________________ of forty – nine is seven.
6)
7)
8)
9)
10) If ten liters oil weight eight kilograms, and a liter of water weighs one
