Division Properties Of Exponents.

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Presentation transcript:

Division Properties Of Exponents

Objectives and Properties Be able to apply the quotient of powers property. Be able to apply the power of a quotient property. Be able to apply the multiplication properties of exponents.

Quotient of Powers Property Evaluate the following expression: Please note the following things: The base is still the same: 3. The exponent now has a value of 2 and (5-3)=2. Solution To divide powers that have the same base, subtract the exponents.

Examples Simplify the quotient. Solutions

Power of a Quotient Simplify the following quotient: Find the power of the numerator. Find the power of the denominator. Divide. Power of a Quotient Property

Examples Use the power of a quotient property to simplify the expressions. Solutions

You Try It 1. Simplify the following quotients. 2. Simplify the following expression.

Problem 1

Problem 2 Step 1. Gather like terms. Step 4. Apply the quotient of powers property. Step 2. Rewrite using positive exponents. Step 5. Write the final answer. Step 3. Apply the product of powers property