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What is the value of a number when the power 0?
1
Answer: Any number to the power of 0 is 1. Let’s solve this question step by step. Explanation: According to the zero exponent rule or zero property of exponents, any number raised to the power of zero always equals 1. Also, we can say that if the exponent is zero then the result is always 1.
What happens when the exponent of a number is 0?
When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent, or power. The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example: x^0 = 1.
What is the power of zero exponent?
one
The rule for zero as an exponent: Any nonzero real number raised to the power of zero is one, this means anything that looks like a 0 a^0 a0 will always equal 1 if a is not equal to zero.
Does zero have an absolute value?
The absolute value of 0 is 0. (This is why we don’t say that the absolute value of a number is positive. Zero is neither negative nor positive.)
How do you explain exponents to the zero power?
So when we raise a number to the zeroth power, that means we multiply the number by itself zero times – but that means we’re not multiplying anything at all!
What is the value of zero to the zeroth power?
Answer: Zero to zeroth power is often said to be “an indeterminate form”, because it could have several different values. Since x0 is 1 for all numbers x other than 0, it would be logical to define that 00 = 1. But we could also think of 00 having the value 0, because zero to any power (other than the zero power) is zero.
What is the value of 0 0?
Since x 0 is 1 for all numbers x other than 0, it would be logical to define that 0 0 = 1. But we could also think of 0 0 having the value 0, because zero to any power (other than the zero power) is zero.
Why is zero to zeroth 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 x0 is 1 for all numbers x other than 0, it would be logical to define that 00 = 1.
What is the value of 00 if x0 is 1?
Since x0 is 1 for all numbers x other than 0, it would be logical to define that 00 = 1. But we could also think of 00 having the value 0, because zero to any power (other than the zero power) is zero. Also, the logarithm of 00 would be 0 · infinity, which is in itself an indeterminate form.