3 Vocabulary Terms - Define/Illustrate
What does an exponent tell you about the base?
What if the exponent = 0?
Zero Power Rule using division of like bases:
1. Exponent: An exponent is a mathematical notation that indicates the number of times a base should be multiplied by itself. For example, in the expression 2^3, the base is 2 and the exponent is 3. It tells us that we need to multiply 2 by itself 3 times, resulting in 2 * 2 * 2 = 8.
2. Exponent = 0: When the exponent is 0, it indicates that the base should be multiplied by itself 0 times. According to mathematical conventions, any number raised to the power of 0 equals 1. So, for example, 2^0 = 1.
3. Zero Power Rule using division of like bases: The zero power rule states that any non-zero number raised to the power of 0 is equal to 1. This rule can be seen when using division of like bases. For example, if we have 4^2 / 4^2, which means dividing 4^2 by 4^2, both numerator and denominator have the same base of 4 and the same exponent of 2. By applying the rule, we get (4^2) / (4^2) = 1.