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This free exponent calculator determines the result of exponentiation, including expressions that use the irrational number e as a base.
Sal Khan considers two different ways to think about why a number raised to the zero power equals one: 1) if 2^3 = 1x2x2x2, then 2^0 = 1 times zero twos, which equals 1. 2) By following a pattern of decreasing an exponent by one by dividing by the base, we find that when we get to the 0 power, we end up dividing the base by itself, resulting in 1.
Raising a number to an exponent means multiplying that number by itself a certain number of times. Any non-zero number raised to the zero power will be equal to one, and that any number raised to the first power will be equal to itself.
What are Exponent Rules? Exponent rules, which are also known as the 'laws of exponents' or the 'properties of exponents' make the process of simplifying expressions involving exponents easier. These rules are helpful to simplify the expressions that have decimals, fractions, irrational numbers, and negative integers as their exponents.
Free Exponents Calculator - Simplify exponential expressions using algebraic rules step-by-step
The general form of zero exponent rule is given by: a 0 = 1 and (a/b) 0 = 1. Example 1. (-3) 0 = 1. (2/3) 0 = 1. 0° = undefined. This is similar to dividing a number by zero. Therefore, we can write the rule as a° =1. Alternatively, the zero-exponent rule can be proved by considering following cases. Example 2. 3 1 = 3 = 3. 3 2 = 3*3 = 9.
The base is the amount to grow each unit (3x), and the exponent is the amount of time (2). A formula like 2^n means “Use the expand-o-tron at 2x growth for n seconds”. We always start with 1.0 in the expand-o-tron to see how it changes a single unit.
