x0 = 1. Properties of Zero as an Exponent: For every nonzero number, x, 40 = 1 (-3)0 = 1 5.140 = 1 Examples. x-n = 1/xn Properties of Negative Exponents: For nonzero number, x, and integer, n, Examples. WHY??? Note that this is specific to all numbers EXCEPT zero as the base. Remember that an algebraic expression is in its simplest form when powers with a variable base are written only with positive exponents. Therefore, when simplifying expressions, we follow the Properties of Zero and Negative Exponents. Examples. What is the simplified form of each expression?
Properties of Zero as an Exponent: For every nonzero number, x, x0 = 1. Examples. 40 = 1 (-3)0 = 1 5.140 = 1 Properties of Negative Exponents: For nonzero number, x, and integer, n, x-n = 1/xn Examples. Note that this is specific to all numbers EXCEPT zero as the base. WHY??? Remember that an algebraic expression is in its simplest form when powers with a variable base are written only with positive exponents. Therefore, when simplifying expressions, we follow the Properties of Zero and Negative Exponents. Examples. What is the simplified form of each expression?
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