# Exponents by ashrafp

VIEWS: 9 PAGES: 3

• pg 1
```									Exponent Rules:

XY = X multiplied by itself Y times.   For example: 24 = 2222 = 16

Given that, here are some useful rules that you can use to make the process of dealing
with exponents much more pleasant:

Rule:                Example:

A-k = 1/Ak           2-3 = 1/(222) = 1/8

AkAn = A(k+n)       3233 = (33)  (333) = 33333 = 35

Ak/An = A(k-n)       32/33 = (33) / (333) = 1/3 = 3-1

(32)3 = (33)  (33)  (33) = 333333
(Ak)n = A(kn)       = 36

So use the rules above to convert the complicated exponent forms into a simple
exponent form. Check your answers against those at the end of this sheet to catch and
correct any mistakes you might have made…

52  54        =
67  63        =
101  10-        =
3

8-9  85        =
38 / 34         =
22 / 25         =
107 /
=
1012
10-3 /
=
10-8
(44)5         =
(97)4         =
(72)-3        =

Digging for Roots:
If you want to have your calculator take the square root of something it’s pretty
straightforward once you’ve found the        button. Taking higher roots of a number,
however, often require that you know the rule illustrated below.

a  X  X 1 2  X 0.5       (where a is the square root ofX)

b  3 Y  Y 1 3  Y 0.333   (where b is the cube root ofY )

c  4 Z  Z1 4  Z 0.25     (where c is the fourth root ofZ)

The critical fact is that the “nth root” of a number is the same as that number raised to the
1/n power. So if you wanted to know what the cube root of 125 was you could plug the

125^(1/3)    [enter]                                           125^(0.3333) [enter]
OR
= 5                                                            = 5

Now, to practice, use your calculator to determine the answers to the following
any mistakes you might have made…

5
1024 
3
216    
4
625    
2
100    
4
500 
5
243 
2
1000 
3
900 


Answers: 4, 6, 5, 10, 4.7287, 3, 31.623, 9.6549

```
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