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WarmupEvaluate the expression for the given values of the variables.1. x3y2 for x = 1 2. 3x2
y = 10for x = 4 y = 7y2
1.) simplify expressions using exponent properties involving products
2.) simplify expressions using exponent properties involving quotients
3.) simplify expressions using exponent properties involving zero and/or negatives
I can...
6.1 Applying Exponent Properties
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6.1 Applying Exponent PropertiesProperties Involving Products
Product of Powers PropertyTo multiply powers having the same base, add the exponents.
Examples:
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6.1 Applying Exponent PropertiesProperties Involving Products
Examples:
Power of a Power PropertyTo find a power of a power, multiply exponents.
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6.1 Applying Exponent PropertiesProperties Involving Products
Examples:
Power of a Product PropertyTo find a power of a product, find the power of EACH factor and multiply.
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6.1 Applying Exponent Properties♦I can simplify expressions using exponent properties involving products♦
Example 1: Simplify each expression.
a. b. c. d.
6.1 Applying Exponent Properties♦I can simplify expressions using exponent properties involving products♦
Checkpoint: Simplify each expression.1. 2.
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6.1 Applying Exponent PropertiesProperties Involving Quotients
Examples:
Quotient of Powers PropertyTo divide powers having the SAME base,
subtract the exponents.
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6.1 Applying Exponent PropertiesProperties Involving Quotients
Examples:
Product of a Quotient PropertyTo find a power of a quotient, find the power of the numerator and the power
of the denominator and divide.
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6.1 Applying Exponent Properties
Example 2: Simplify each expression.
a. b. c. d.
♦I can simplify expressions using exponent properties involving quotients♦
6.1 Applying Exponent Properties♦I can simplify expressions using exponent properties involving quotients♦
Checkpoint: Simplify each expression.3. 4.
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6.1 Applying Exponent Properties
Zero Exponentsa to the zero power is 1
a ≠ 0
Examples: 50 = 1 x0 = 1
6.1 Applying Exponent Properties
Negative Exponentsb–n is the reciprocal of bn bn is the reciprocal of b–n
Examples: Examples:
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6.1 Applying Exponent Properties♦I can simplify expressions using exponent properties involving zero and/or negatives ♦Example 3: Simplify each expression. Write your answer using only positive exponents.a. b. c. d.
6.1 Applying Exponent Properties♦I can simplify expressions using exponent properties involving zero and/or negatives ♦Partner Check: Simplify each expression. Write your answer using only positive exponents.5. 6.
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Learning Target: Applying Exponent Properties
I can... Homework Problems
simplify expressions using exponent properties involving productssimplify expressions using exponent properties involving quotientssimplify expressions using exponent properties involving zero and/or negatives
