What Is Any Number To The Zero Power

Let me remind you that the rule a number raised to the power zero is one isn t arbitrary or a convention.

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. But any positive number to the power 0 is 1 so 0 to the power 0 should be 1. As already explained the answer to 1 0 is 1 since we are raising the number 1 negative 1 to the power zero. Perhaps a helpful definition of exponents for the amateur mathematician is.

Looking at the pattern established when a number is raised to different powers each one less than the next helps explain the concept. What is 0 0. On one hand any other number to the power of 0 is 1 that s the zero exponent property. Underlying this argument is the same idea as was used in the attempt to define 0 divided by 0.

Consider a to the power b and ask what happens as a and b both approach 0. The concept of a number raised to the zero power equals one can be explained in several ways and is based on basic multiplicative concepts. We can t have it both ways. Nothing is arbitrary in math.

RELATED ARTICLE :

• what essential oil is good for mosquito bites
• what episode of blue bloods did linda die
• what episode does carl die in walking dead

This is in fact true for many such basic yet perplexing queries including why the factorial of zero is one. Zero to the power of zero.