(a) Definition used:
Definition of rational exponents:
"For any rational exponent m/n in its lowest terms, where m and n are integers and
Formula used:
Laws of exponents:
"To raise a power to a new power, multiply the exponents".
Calculation:
The given expression is
Use the above mentioned definition and simplify the expression as shown below.
Thus, the value of the expression is 3.
(b) Use the above definition and formula mentioned in sub part (a) and simplify the expression as shown below.
Thus, the value of the expression is (-2).
(c) Use the above definition and formula mentioned in sub part (a) and simplify the expression as shown below.
On further simplifications, the following is obtained.
Thus, the value of the expression