# Digital Electronics - Digital Concepts - Discussion

Discussion Forum : Digital Concepts - General Questions (Q.No. 1)
1.
Any number with an exponent of zero is equal to:
zero
one
that number
ten
Explanation:
No answer description is available. Let's discuss.
Discussion:
47 comments Page 1 of 5.

Syed Shakeeb said:   2 years ago
Exponent refers to the number of times a number is multiplied by itself.
For example,
2/2=1.
(1)

Raju said:   8 years ago
Example: 1^0, 2^0, 3^0, ........, n^0 = 1.
(1)

Malik aamir said:   8 years ago
It's one thing for me to tell you that any number raised to the zero power is equal to one, but what if you didn't believe me? Well, here's the proof.

We need to start by looking at the rule for multiplying exponents.

n^3*n^4 = (n*n*n)*(n*n*n*n) = n^7.

n^6*n^2 = (n*n*n*n*n*n)*(n*n) = n^8.

Did you notice a shortcut in that? As long as the bases are the same, to multiply any two terms with exponents, just add the exponents. Since math is a logical study, most rules work the same in all cases. So, let's try with a zero exponent.

x^4* x^0 = x^(4+0) = x^4.

As you can see, nothing changed. So we need to ask ourselves the question, what is the only number that when you multiply something by it, nothing changes?

The only answer to that question is 1. When you multiply something by 1, it does not change. So the only thing to conclude with our example above is that x^0 = 1.

x^4*x^0 = x^4.

x^4 * 1 = x^4.

Therefore, x^0 = 1.

This pattern plays out no matter what numbers or variables we use, so we can say that any term (except zero) raised to the zero power is equal to one.
(1)

Anirudh Sodhani said:   9 years ago
According to me any a^(0) can be written as a^(k-k) , k being any non zero scalar, and so we have a^(k-k) = (a^k)/(a^k) = 1. So the answer is definitely 1.

K.VAMSI KRISHNA said:   1 decade ago
a^0 = 1.

"Anything power zero is always zero".

Nandhini venkatachalapathy said:   1 decade ago
As per math rule anything power 0 is 1.

For eg: e^0 = 1.

Any numerical no power zero is equivalent = 1.

A power Zero is 1. But when A=0 then it not satisfied condition.

Number x.
Exponential number e^x.

When x = 0.
e^0 = 1.

Anunay singh said:   1 decade ago
Exponent means power not exponential(e).

Thus,
For any real number (a says) with zero exponent means a^0.

And any number with power zero is equal to 1.

a^0=1.