Topic 1: Indices & Exercise

INDICES

       Introduction of indices

Indices are useful way of more simply expressing large numbers. They also present us with many useful properties for manipulating them using what are called "Law of indices"

What is indices?
Indices actually explain how many copies of the base number are multiplied. For instance, a base to the second power is referred to as the base squared and indicate that the base is multiplied by itself once.

The rules include the concept that any number other than 0 is always to 1 if it is index or exponent is o. Another rule holds that to divide mathematical expressions that have the same base, it is necessary to copy the base and subtract exponents.  

The picture below shows us that we should not forget that every number that is given it has a character of its own.  👉

Below is the rule of indices

Now you know the rule already, so i will give you some example how to do with the indices and how to solve the exercise later. let's learn together 😁

Example 1:

Question: Find the 7² + 7⁰

Solution:

= 49 + 1

= 50

*Why it is 50? because if the sign are given is (+) we must find through the base and no need to change the (+) sign to the multiply sign. If the sign are given is (x) so it can be solved directly.

Example 2:

Question: Find the values of the unknown in the following equations

a)  100^x = 1

solution: refer to the rule above 
= 0

b) 5²

= 5x5         

=25  (use rule number 1)

5 x 5 is also known as the expended form or factor form of 25 is known as index form. Generally when a number is multiplied by itself any number of times, the expression is simplified by using the index notation. 

Example 3:

Question: Find the value of  3² x 3²

Solution:

= 3²⁺²

= 3⁴

Below is the video that show us how to solve the question with the rule that are given above.

If you are confuse with the sign, don't be panic just refer to the rule that are given above, it can help you to solve it.Hopefully with the 3 example that are given can help you to understand more and can solve the exercise below😀

Now, you have learn the important rules of indices, so are you ready to try the exercise below? let's try it

Activity!!

..............Lets solve it...........

1) Mⁿ ÷ N^m

2) 3³ x 3²

3) 5⁸