The value of any nonzero number raised to the zero power will equal positive one (1).
The value of anything raised to the power of infinity depends on the base. If the base is greater than 1, the value approaches infinity. If the base is equal to 1, the value remains 1. If the base is between 0 and 1, the value approaches 0. If the base is 0, the expression is typically considered to be 0, but if it's 0 raised to the power of infinity, it is an indeterminate form.
x to the power 2 = (x to the power 3)/x; x to the power 1 = (x to the power 2)/x; x to the power 0 = (x to the power 1)/x. As x to the power 1 is merely x then the last expression is equivalent to x/x, ie 1.
the base
The base
The base
The value of anything raised to the power of infinity depends on the base. If the base is greater than 1, the value approaches infinity. If the base is equal to 1, the value remains 1. If the base is between 0 and 1, the value approaches 0. If the base is 0, the expression is typically considered to be 0, but if it's 0 raised to the power of infinity, it is an indeterminate form.
x to the power 2 = (x to the power 3)/x; x to the power 1 = (x to the power 2)/x; x to the power 0 = (x to the power 1)/x. As x to the power 1 is merely x then the last expression is equivalent to x/x, ie 1.
The power could then be called an exponent. The number that is being raised to a power is called the base. In the case of 42, the exponent is 2 and the base is 4.
1 to the power of anything is always 1.
base
The base
a Base. i think
the base
The number that indicates how many times the base is used as a factor is the exponent, or power.
The base
The base
The base