It defines how many times the base is multiplied by itself. The exponent is attached to the upper right shoulder of the base. In the following example, if we apply the product rule for exponents, we get an exponent of zero. But what about zero power? Why is each non-zero number incremented to 1 to the power of zero? And what happens if we increase from zero to zero? Is it still 1? 0° = not defined. Therefore, we say that division by zero is not defined. Remember that any non-zero real number that is high zero is one, so there is no value! Each number multiplied by zero is equal to zero, it can never be equal to 2. Taking into account several ways to define an exponential number, we can deduce the zero exponent rule by considering: If we generalize this rule, we have the following, where n is a nonzero real number and x and y are also real numbers. The above method breaks because, of course, division by zero is a no-no. The exhibitors seem pretty simple, right? Increasing a number to the power of 1 means you have one of these numbers, increasing to the power of 2 means you have multiplied two of the numbers, power 3 means three of the multiplied number, and so on. Write each expression only with positive exponents. Simplify each of the following expressions by using the zero exponent rule for exponents. Therefore, we can conclude that every number, except zero, that is increased to the zero power is 1. To understand the null exponent purpose, we will also rewrite x5x-5 with the negative exponent rule. So I can write this: We start by looking at a common division by zero ERROR. We know that every number is non-zero divided by itself equal to 1.
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