Equations, Inequalities, and Modeling

Simplifying Algebraic Expressions with Exponents

In College Algebra, simplifying expressions involving exponents is a foundational skill. This process uses the laws of exponents to rewrite expressions in their simplest form.

• Exponent Rules: When raising a power to another power, multiply the exponents:

• Distributive Property of Exponents: For products inside parentheses, apply the exponent to each factor:

Example Problem

Simplify the expression:

• Step 1: Apply the exponent to each factor inside the parentheses.

• Step 2: Use the exponent rules to simplify.

Solution:

Final Simplified Expression:

• Key Point: Combine like terms by adding their coefficients when the variable part is identical.

Additional info: This type of problem is common in early algebra courses and helps reinforce the properties of exponents and combining like terms.