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What is the value for Anything power infinity?
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.
Why is the value of any nonzero base raised to the zero power 1?
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.
How is a negative integer power on a base related to the corresponding positive integer power on that base?
A negative integer power of a base is the reciprocal of the base raised to the corresponding positive integer power. For example, ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the base and ( n ) is a positive integer. This relationship shows that as the exponent decreases into the negatives, the value of the expression represents a division by the base raised to the positive power.
When anumber is raised to a power the number that is the factor?
the base
What is the number used as a factor when a number is raised to a power?
The base
What is the value for Anything power infinity?
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.
Why is the value of any nonzero base raised to the zero power 1?
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.
How is a negative integer power on a base related to the corresponding positive integer power on that base?
A negative integer power of a base is the reciprocal of the base raised to the corresponding positive integer power. For example, ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the base and ( n ) is a positive integer. This relationship shows that as the exponent decreases into the negatives, the value of the expression represents a division by the base raised to the positive power.
When a number is raised to a power what is it called?
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.
What is the value of 1 to the 102 power?
1 to the power of anything is always 1.
What is base in precalculus?
In precalculus, "base" typically refers to the foundational number in an exponential expression. For example, in the expression ( b^x ), ( b ) is the base, and it is raised to the power of ( x ). The base determines the growth rate of the exponential function, and it can be any positive number except for zero. Additionally, in logarithms, the base indicates what number is raised to a certain power to yield a given value.
A number or expression that is raised to a power?
base
What is a number or variable raised to a power?
The base
The number when a factor is raised to a power?
a Base. i think
When anumber is raised to a power the number that is the factor?
the base
The number that indicates how many times the base is used as a factor?
The number that indicates how many times the base is used as a factor is the exponent, or power.
What is the number that is used as a factor when a number is raised to a power?
The base
