Multiply or divide as indicated. Simplify all answers....

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Key Concepts

Exponent Rules

This concept involves operations on expressions with exponents, particularly using the law that when dividing like bases, you subtract the exponents. This rule is integral to simplifying expressions where terms with exponents appear in both the numerator and denominator.

Factoring Differences of Squares

This key concept refers to the method of expressing an expression like a^2 - b^2 as (a - b)(a + b). It's especially useful when simplifying rational expressions, as it exposes common factors that can be canceled in the process of reduction.

Multiplication and Division of Algebraic Fractions

This concept deals with performing arithmetic operations on fractions containing algebraic expressions. It emphasizes the importance of multiplying numerators together and denominators together, and when dividing, multiplying by the reciprocal of the divisor.

Simplification of Rational Expressions

This involves rewriting complex algebraic fractions in their simplest form by factoring polynomials and canceling out common terms. The goal is to express the result in a reduced, more manageable form while preserving equivalence to the original expression.

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