Writing Equivalent Algebraic Expressions For Multiplication and Division – Practice Problems

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The quotient of powers property is used for simplifying division problems involving expressions with the same bases raised to exponents. Dividing such expressions is the same as raising the common base to the difference of the exponent of numerator and the exponent of the denominator. This property is the reason why cancellation of common terms found both in the numerator and denominator in rational expressions is possible. Learn about the quotient of powers property by supporting Morton as he tries to defeat Manfred in a friendly competition of stamp collecting. Common Core Reference: CCSS.MATH.CONTENT.8.EE.A.1

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Exercises in this Practice Problem
Explain how to use the quotient of powers property for like bases.
Simplify the expressions using the quotient of powers property.
Determine the value of each expression.
Find the equivalent expressions.
Complete the equations.
Rewrite the expressions in their simplest form.