  Lesson 6ª 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:  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:   Previous Lesson Next Lesson