Assalamualaikum warahmatullahi wabarakatuh, so this is your first online
Maths class in the first chapter. We will
be discussing on Indices, Surds and
Logarithms but for this first video we
will be focusing on indices only,
so by the end of this video you should be
able to define an index in another word
you should be able to recognize what an
index is. Then you need to be able to
state and apply the rules of indices. At
the end of this subtopic you should be
able to solve equations involving
indices, so all these are pretty basic in
Maths. Most people won't pay attention to
this chapter but trust me understanding
this chapter will help you a lot on the
upcoming chapters. So let's begin with
the definition of an index. Generally an
index is something to the power of
something. For example I can write ‘a’ to
the power of ‘n’ where a is a real number
‘n’ is a positive integer. With ‘a’ being
its base and ‘n’ being its power so when
I say ‘a’ to the power of ‘n’, this is equal
to ‘a’ being multiplied by itself for
‘n’ times. I'll give you another example.
Let's say I have 3 to the power of 4
now 3 is the base and 4 is the power. 3 to
the power of 4 is equal to 3 being
multiplied by itself for 4 times and
because we have equal sign in the
definition this is also true the other
way around, that means if I have 4 x 4 x 4
I can write this as an index that is 4
to the power of 3 with 4 being its base
and 3 as its power. We will discuss the
rules of indices on the next video.
Thank you for your attention and have a great day
