Exponents and Radicals of Algebraic Expressions
Raising an algebraic expression to a power:
CASO 1.- monomials with positive base
10.41 Raise the expression:
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:
Remember that if a base has a negative sign and it is has an even exponent, the result is positive.
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.
We raise the numerator and denominator to 3
To divide powers with the same base, we need to subtract the exponents:
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.