2I. Simplifying Expressions with Rational Exponents. Rational exponent – when there is a fraction as an exponentThis is a different way of writing out a radical sign.
3How to interpret the fraction exponent: Denominator – this is the index of the radical signNumerator – this is the power that the radicand is raised to, or you can raise the whole radical expression toa r/n = n√(ar) = (n√a)r
14Let’s put a few ideas together Convert the decimal to a fraction
15EX - simplify Need to Rationalize! Remember: We are ADDING exponents here – what do we need to add fractions?How did we get to here???
167.4 Real-World Connection - Example 3 The optimal height h of the letters of a message printed on pavement is given by the formulah = d2.27eHere d is the distance of the driver from the letters and e is the height of the driver’s eye above the pavement. All of the distances are in meters.Find h for the given value of d and e.d = 100 m; e = 1.2 m