Rational exponents and radical equations the math plane. Rational exponents implementing the mathematical practice. Rules of exponents guided notes paulding county school. Rational exponents and radical equations notes, examples, and practice quizzes with answers topics include exponent rules, factoring, extraneous solutions, quadratics.
Rational exponents basic terminology base exponent means important examples important examples variable examples variable expressions substitution and evaluating steps write out the original problem. Since we have not defined ax where x is a general rational number yet, we first. A negative rational exponent is telling you to do two separate things to the base. In this section you will see that roots can be expressed with expo nents also. Formulas for exponent and radicals northeastern its. Laws of exponents for integer exponents the following algebraic rules apply to. You have learned how to use exponents to express powers of numbers and radicals to express roots. Below is a complete list of rule for exponents along with a few examples of each rule. Using the power rule for exponents, when a base is taken to a power, and. Any number excluding 0 to the 0 power is always equal to 1. Scaffolded notes and classwork on the rules of rational exponents.
Assume that all variables represent positive real numbers. Choose the one alternative that best completes the statement or answers the question. Dont get all freaked out about these its just a different notation for what youve already been doing. Formulas for exponent and radicals algebraic rules for. The advantage of using exponents to express roots is that the rules of exponents can be applied to the expressions. This independent practice is 18 questions long and probably will take the students about 25 minutes. Formulas for exponent and radicals algebraic rules for manipulating exponential and radicals expressions. The exponent is always telling you what to do to the base. As we stepped out to integer exponents, we insisted on a definition that does not conflict with rule 2, an am. Rational exponents are new to most students and i wanted to give students a variety of problems to show different uses of rational exponents.
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