Indices, Standard Form And Surds Worksheet Page 2
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1725.1 Using zero and negative powers
25.1
Using zero and negative powers
Objectives
Why do this?
You know that n
1 when n ≠ 0.
If you are x metres from a live band, the volume of
0
You know the meaning of negative indices.
sound they are producing is directly proportional
to x
. This means that if you halve your distance
2
to the band, the music will get four times as loud.
Get Ready
Work out
1. 3
2
2. 2
5
3. 4
3
Key Points
For non-zero values of a
a
0
1
For any number n
1
__
a
n
a
n
Example 1
Work out the value of
a
3
0
b
5
–1
c
6
–2
(
)
2
–2
__
d
5
a
3
0
1
Any number to the power of zero is 1.
__
__
1
1
a
n
5
Use the rule
b
1
a
n
5
2
__
1
c
6
2
6
__
1
6
2
6 6 36.
36
Examiner’s Tip
(
)
2
2
__
d
1
To work out the reciprocal of a fraction,
5
(
Do not change the fraction
)
2
2
__
turn the fraction upside down.
to a decimal. It is much
5
Square the number on the top and the
(
)
easier to square the
5
2
number on the bo om of the fraction.
__
2
numbers in a fraction than it
25
___
is to square a decimal.
4
611
611
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education