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Lesson 8.2 Apply Exponent Properties Involving Quotients
After today’s lesson, you should be able to use properties of exponents involving quotients to
simplify expressions.
Dividing powers with the same base
Simplify by writing each expression in expanded form. Write your answer using exponents.Ex. 1)
Dividing powers with the same baseSimplify by writing each expression in expanded form. Write your answer using exponents.Ex. 2)
Quotient of Powers Property
Rule: Quotient of Powers
Words: When dividing powers with the same base, subtract exponents.
Algebra:
Examples: Simplify the expression. Write your answer using exponents.
3)
Examples: Simplify the expression. Write your answer using exponents.
4)
Examples: Simplify the expression. Write your answer using exponents.
5)
Examples: Simplify the expression. Write your answer using exponents.
6)
Examples: Simplify the expression. Write your answer using exponents.
7) You Try:
Finding powers of a quotient
Simplify by writing each expression in expanded form. Write your answer using exponents.8)
Finding powers of a quotient
Simplify by writing each expression in expanded form. Write your answer using exponents.9)
Power of a Quotient Property
Rule: Power of a Quotient
Words: To find the power of a quotient, find the power of the numerator and the power of the denominator and divide.
Algebra:
Examples: Simplify the expression. Write your answer using exponents.
10)
Examples: Simplify the expression. Write your answer using exponents.
11)
Examples: Simplify the expression. Write your answer using exponents.
12) You Try
Examples: Simplify the expression.
13)
Examples: Simplify the expression.
14)
Examples: Simplify the expression.
15) You Try
Combining methods:Examples: Simplify the expression.
16)
Combining methods:Examples: Simplify the expression.
17)
Combining methods:Examples: Simplify the expression.
18) You Try
