Why x to the power zero is equals to one not zero: x^0 = 1 ?

Power in mathematics means number of times it multiplied with itself. Its represented by x^a, where x is the number and a is the power of that number.

It is pronounced as x to the power a. For example 4³, then this means 4 is multiplied 3 times by 4 itself i.e. 4x4x4.

Therefore 4³=4x4x4=64.

From above discussion I think now you are able understand what a power of any number means. So now we can move to the topic why x to the power 0 is equals to 1 not zero i.e. x⁰=1 ?

Why x to the power zero is equals to one not zero: x⁰ = 1 ?

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We all know this mathematical basic formula related to power.

⇒

x^a / x^b

=x^a-b

When a=b

⇒

x^a / x^a

=x^a-a
⇒

x^a / x^a

=x⁰
⇒1=x⁰

So from above it is proved that Why x to the power zero is equals to one not zero: x⁰ = 1 ?