Why is any number to the power of zero equal to one?

In short, the multiplicative identity is the number 1, because for any other number x, 1*x = 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.

What does any number to the zero power equal?

one
Any non-zero number to the zero power equals one. Zero to any positive exponent equals zero.

What is 10 with the power of 0?

0 = 1
Answer: 10 to the 0 power is 100 = 1. Let us find the value of 10 when raised to the power 0. Explanation: The exponent of a number shows how many times the number is multiplied by itself. The zero property of exponents is applied when the exponent of any base is 0.

How do you work out 2 to the power of 0?

Answer: 2 to the power of 0 can be expressed as 20 = 1.

What is 9 raised to the zeroth power?

1
9 to the power 0 is 1.

What does 3 to the power of 0 mean?

Either of those would get you to the conclusion that two to the zero power is one, or three to the zero power is one, or frankly, any number to the zero power is one.

What does 2 to the power of 0 mean?

So 2 to the zero power is going to be equal to 1. And, actually, any non-zero number to the 0 power is 1 by that same rationale.

What is true about zero exponent?

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.

What is 0 to the power of negative 1?

Strictly speaking we say 0−1 is undefined. x−1 is the multiplicative inverse of the number x. By definition of the multiplicative inverse, the product of a number and its multiplicative inverse equals one. So we would have 0×0−1=1.

What is the value of 7 power 0?

Answer: 7 to the power of 0 is 1. According to the zero property of exponents, any number (other than 0) raised to the power of zero is always equal to 1. So, 7 to the power of 0 can be written as 70 which is equal to 1. We can verify this by the subtraction rule of exponents.

What is 8 with an exponent of 0?

We know that the zero property of exponents states that any number except 0 raised to the power of zero is always equal to 1. So, 8 to the power of 0 can be written as 80 which is equal to 1.