Rationale exponents also include fractional exponents. These often confuse students because the basic math can stump them. There are two rules that we can use to help guide us through these. When a base is under a radial and raised to exponent, we can simple convert that o the product of each base raised to one over the value of the exponent. When a base is raised to power under a radical that is raised by exponent we can convert that to the product of the base with each base raised to a power of the base exponent as the numerator and the raised power of the radical as the denominator. We introduce a series of different rules that students should be aware of. The first is the zero-exponent rule that tells us any base raised to the zero power is equal to one. The negative exponent rule tells us that a negative exponent will result in the formation of a reciprocal. The product rule tells us that the product of exponents are equivalent to the sum of the exponents. The quotient rule is similar in that the quotient of exponents are determined by the difference of the exponents.

Students will practice converting radical expressions (equations containing exponents that are fractions) into fractional powers. These worksheets explain how to use the laws of rational exponents. The rules for conversion have been supplied for the students. This topic includes a complete lesson that will demonstrate and explain the skill for you. You will be walked you through the conversion and evaluation process of exponential expressions.