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## Why does something to the zero power equal 1?

In short, 0 is the only number such that for any number x, x + 0 = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1. Answer 2: It’s exciting to me that you asked this question.

## What does it equal if the exponent is 0?

1
Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1.

## Can exponential function be equal to zero Why?

Explanation: The function ex considered as a function of Real numbers has domain (−∞,∞) and range (0,∞) . So it can only take strictly positive values. That is 0 is the only value that ex cannot take.

## What is 0 to the 0 exponent and why?

Explanation: The rule is that any number raised to the power of 0 equals to 1. 0 to the 0 power i.e., 00 is a mathematical expression with no agreed-upon value. The most common possibilities are 1 or leaving the expression undefined, depending on context.

## What is 0 to a negative exponent?

Answer: Negative number to the power of 0 is 1. Let’s take an example of a negative number to the power of 0, (-3)0 = 1 or (-100)0 is also equals to 1.

## What is the one rule for exponents?

The one exponent rule states that raising a number to a power of 1 yields the original number.

## What happens when the exponent of a number is zero?

Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1.

## Is the power of zero always equal to 1?

Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1. The general form of zero exponent rule is given by: a 0 = 1 and (a/b) 0 = 1. 0° = undefined. This is similar to dividing a number by zero. Therefore, we can write the rule as a° =1.

## How are exponents related to the power of 1?

Exponents seem pretty straightforward, right? Raise a number to the power of 1 means you have one of that number, raise to the power of 2 means you have two of the number multiplied together, power 3 means three of the number multiplied together and so on. But what about the zero power?

## Is the zero to zero power an indeterminate form?

Answer: Zero to zeroth power is often said to be “an indeterminate form”, because it could have several different values. Since x 0 is 1 for all numbers x other than 0, it would be logical to define that 0 0 = 1.