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Workbook


4 a 4  3   a 3
Example 29: 0 a  ?
3 a 3

x  3  3 x  2 x
Example 30: If the expression is a real number, then what is the value of x ?
x  1

Rational Exponents:

1 1
Definition of a : For any real number a and integer n , where n 1, a  n a , provided a exists.
n
n
n

m m
m
Definition of a : For any real number a and integers m and n , where n 1, a n  n a m    ,
a
n
n
n
provided a exists.

Example 31: Perform the following operations given below.

3
a) 2 3 5 .

3
b) 5 6 4 .

4
c) 32

d) 3 n 5 .
n

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