Download 7.4 Rational Exponents

7.4 Rational Exponents
7.4 Simplifying Expressions With
Rational Exponents – Example 1

A fraction as an exponent:
–
–
Numerator is the power
Denominator is the root

1251/3

51/2

101/3 1001/3
51/2
7.4 Converting To and From Radical
Form – Example 2

x3/5 _______________________

y-2/5 _______________________
7.4 Real-World Connection - Example 3

The optimal height h of the letters of a message
printed on pavement is given by the formula
h = 0.00252d2.27
e
Here 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
Continued
h = 0.00252d2.27
e
H = 0.00252(100)2.27
1.2
7.4 Simplifying Numbers With Rational
Exponents – Example 4

(-32)3/5

4-3.5
7.4 Writing Expressions in Simplest
Form – Example 5

Write (16y-8)-3/4 in simplest form