Since I've started schooling and solving mathematics, one of the major things that I've not been able to really comprehend it's objectivity is the fourth law of indices.. Which states that a number, letter,alphabeth,or alphanumeric that is raised to the power of 0 is equal to 1.

But looking at it critically,, if I, Gabriel I'm raised to the power of nothing, it shouldn't be a result of 1 but the answer is supposed to be myself,, Gabriel.
Although the rule of Gabriel raise to power 1 still remains Gabriel.

Let's go deeply into the fourth law of indices

Aim of this Tutorial

After this tutorial, you should be able to :

1. Know the meaning or concept of the term, "index" and how it relates to indices.
   2.Know the meaning of the term, ZERO-INDEX.
2. Be able to solve basic and intermediate questions /problems related to the zero index law of indices.

The fourth law of Indices is termed the ZERO-INDEX LAW

What is an index?
An index literally means power or exponent. And for this tutorial we will be using the symbol, "^" to denote or represent power/index/exponent.

Mathematically, index means a number or alphabet that is written above another number of alphabeth.
See examples :

X^Y,, - 1.0
Z^X and - 1.1
Y^Z. - 1.2

In 1.0 above, "Y" is the index
In 1.1 above, "X" is the index/power
In 1.2 above, "Z" is the exponent..

Index, power and exponent all mean the same thing.

To enlighten us more, the term index is closely associated with the word, INDICES.

Now that we've done justice to the concept of index, let's now take a look to what Zero-Index means.

Since index mean power or exponent.., then ZERO-INDEX mean an index of 0, or an exponent of 0 or simply put, a power of "0"- ZERO.

this can be expressed mathematically as this:

X^0 --1.3
Gabriel^0 -- 1.4

As you can see in 1.3 above, the alphabet "X" is raised to a power of "0" . This is simply the ZERO-INDEX law.. And it's the fourth law of indices.

Likewise in example 1.4, Gabriel is raised to a power of zero thereby depicting the fourth law of indices.

We've discussed on the first two aims of this tutorial so far, now it's time to dive into the main aim of this tutorial which is:

Basic and Intermediate questions related to the zero index law of indices.

These are the questions :

question 1-

16999^0

question 2

9^0 + 160^0 - 200^0

question 3

steemit^0 * esteem^0 * blockchain^0

A moment guys,, the best way to learn mathematics is to make attempts.. Without looking at the answers, you should be able to try and solve these questions, even if you end up being wrong eventually, at least you've made attempts and I respect you for that.

Now, These are the solutions

solution to question 1

16999^0 = 1(Ans)
Simple as that.. Remember what u said, anything raised to the power of "0" is simply "1"

solution to question 2

9^0+160^0-200^0
First, 9^0=1, 160^0=1 and also 200^0=1
Which makes it 1+1-1= 1 (Ans).

solution to question 3

steemit^0 * esteem^0 * blockchain^0
Let's do it this way,
Steemit^0=1,
Blockchain^0=1, and
esteem^0=1.
Therefore, 111=1(Ans).

So this brings us to the end of today's mathematics tutorial.. I hope we now understand the fourth law of indices.

Take Home Assignment

1. 69^0/96^0=?
2. Is 666^-0 mathematical?

Solve and drop your response Pls...
Those with correct response will be acknowledged in my next post on math tutorial.

Kudos to @teamsteem for their good works in science related discipline..

Thanks for taking time to learn from today's tutorial.
To participate in more of this kind of tutorials, follow me and keep in touch.

Thanks once again,

I remain gabeman!