Digital Electronics - Digital Concepts - Discussion

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.

I think the right way to think
about exponents is to say that a^k is equal to 1 times k x's.
So 2^3 = 1*2*2*2 = 8, 2^(-4) = 1*1/2*1/2*1/2*1/2 = 1/16 since
multiplying something once should be the opposite of dividing
something once. With this concept in mind, any number to the
zero power is "1 times no repetitions of that number." So
any number to the zero power is 1.

If the number is a floating point, it is expressed as A*B^E where A is the mantissa and E is the exponent. If E is zero then B^E becomes one.A*1=A. In this case the mantissa will be the answer.

If the number is an integer, A^0=1, one will be the answer.
In math rule any number to the power 0 is = to 1.

If the number is a floating point, it is expressed as A*B^E where A is the mantissa and E is the exponent. If E is zero then B^E becomes one.A*1=A. In this case the mantissa will be the answer.

If the number is an integer, A^0=1, one will be the answer.

Easily can be think as exponent means here is the power zero of any number that will be always be 1 confusing term is exponent here it doesn't means the e^0 By mathematical rule power of any value is 1. a^0=1.

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.

Answer is C because. Let the no.is x.

Here say that any no.*e^0.

Therefore x*e^0.

We know e^0=1.

Therefore x*e^0=x*1=1.

Therefore its answer is that no.

Question: Any number with an exponent of zero is equal to=

Answer:

Any number=X;
exponent of zero=e^0=1;

ANS=X*1=X;(that number)........is this correct?

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.

Answer is 1 because power 0 of any no always 1.

That is true by mathematics rule,

So answer is second option (B).