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Powers and roots

Powers and roots

Course modified date: 5 Jun 2022

Learn about powers and roots and understand what they are. This course is ideal for beginners.

Introduction

The power of a number expresses the number of times that the number is multiplied by itself.
Example:
34= 3 × 3 × 3 × 3
The number that gets multiplied by itself is called a base.

The power of a number is also called an index or an exponent.

Roots are the opposite of powers. The symbol of the square root is called the radical.
The square root is the opposite of the square power.
The square root of a number will give the number if multiplied by itself.
For example: √25 = 5 and 52 = 25 
Usually only the positive number is used, however √25 = -5 and 〖(-5)〗^2  =25 
When using the term root we mean square root
The cube root is the opposite of the third power
The cube root of a number will give the number if multiplied by itself three times
For example:
∛1000=10

and 103= 1,000 

You will learn 

·       Understand what powers are
·       Write powers in index and expanded form
·       Use powers of 10 and power properties
·       Understand what roots are

·       Calculate the square and cube roots of numbers




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