Table of Contents
Why is anything to the zeroth power 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.
Why do you think it is said that 0 1?
To find the value of zero factorial, we ask, “How many ways can we order a set with no elements?” Here we need to stretch our thinking a little bit. Even though there is nothing to put in an order, there is one way to do this. Thus we have 0! = 1.
What would 0 to the power of 0 be?
1
Thus 0 to the power 0 is undefined! But any positive number to the power 0 is 1, so 0 to the power 0 should be 1.
What is the zero exponent rule?
Zero Exponent Rule: a0 = 1, a not equal to 0. The expression 00 is indeterminate, or undefined. In the following example, when we apply the product rule for exponents, we end up with an exponent of zero.
What happens when exponent 1?
According to the exponent rule, any number raised to the power of one equals the number itself.
What does the exponent 1 mean?
1. If the exponent is 1, then you just have the number itself (example 91 = 9) 0. If the exponent is 0, then you get 1 (example 90 = 1)
Why does any number with 0 power equals 1?
On one hand, any other number to the power of 0 is 1 (that’s the Zero Exponent Property ). On the other hand, 0 to the power of anything else is 0 , because no matter how many times you multiply nothing by nothing, you still have nothing. Let’s use one of the other properties of exponents to solve the dilemma:
Why is 0 factorial is equal to 1?
This still counts as a way of arranging it, so by definition, a zero factorial is equal to one, just as 1! is equal to one because there is only a single possible arrangement of this data set.
Why is the log of 1 equal to 0?
log 1 = 0means that the logarithm of 1 is always zero, no matter what the base of the logarithm is. This is because any number raised to 0 equals 1. Therefore, ln 1 = 0also. All the rest of the logarithmic rules are useful for solving complex equations, or equations with unknowns.
Why 0 factorial is 1?
A zero factorial is a mathematical expression for the number of ways to arrange a data set with no values in it, which equals one. In general, the factorial of a number is a short hand way to write a multiplication expression wherein the number is multiplied by each number less than it but greater than zero.