Exponents and Radicals of Algebraic Expressions
Raising an algebraic expression to a power:
CASO 1.- monomials with positive base
10.41 Raise the expression: 
Solution:
To raise an algebraic expression to a power, we raise each one of its factors to that power. When a number or letter variable doesn't have an exponent, it is understood the have 1 as an exponent. Since to raise a power to another we need to multiply those powers, we have:
10.42 Calculate:
Remember that if a base has a negative sign and it is has an even exponent, the result is positive.
Answer: 
10.43 Calculate:
Solution:
First, we perform the operations found inside parenthesis. Remember that to
multiply powers with the same base, we need to add the exponents. To raise a power to another, multiply the exponents.
10.44 Calculate:
We raise the numerator and denominator to 3
To divide powers with the same base, we need to subtract the exponents:
Answer:
10.45 Calculate:
First, we perform the operations found inside parenthesis:
We multiply the powers with the same base in the numerator and denominator:
It is always a good idea to order your factors alphabetically. Divide the powers with the same base subtracting their exponents:
Raise the resulting fraction to the cube.
Answer: 
