Algebra 1 Properties of Exponents Notes 6 · 2020. 3. 18. · Page2% Properties of Exponents Notes...
Transcript of Algebra 1 Properties of Exponents Notes 6 · 2020. 3. 18. · Page2% Properties of Exponents Notes...
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Properties of Exponents Notes 6.1
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Zero Exponent—For any nonzero a, _________. The power of __________________. Examples:
Negative Exponents—For any integer n, and any nonzero number a, __________is the ______________ of ________. Examples:
Example 1: Using Zero & Negative Exponents Evaluate each expression. a.) 6.7! b.) (−2)!!
Example 2: Simplifying an Expression Simplify the expression !!
!
!!!
You Try! Evaluate the expression. 1. (−9)! 2. 3!! 3. !!
!
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4. Simplify the expression !
!!!!!
!!. Write your answer using only positive exponents.
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Product of Powers Property—Let a be a real number, and let m and n be integers. To ____________ powers with the same ___________, ___________ their exponents.
______ ⋅ _______ = __________ Example:
Quotient of Powers Property—Let a be a nonzero real number, and let m and n be integers. To ____________ powers with the same ___________, _______________ their exponents.
______ ⋅ _______ = __________ where a _____ 0
Example:
Power of a Power Property—Let a be a real number, and let m and n be integers. To find a ______________ of a power, _______________ their exponents.
(_______)_____ = __________ Example:
Example 3: Using Properties of Exponents Simplify each expression. a.) 3! ∙ 3! b.) !!
!
!! ! c.) 𝑧! !!
You Try! Simplify the expression.
Algebra 1
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Properties of Exponents Notes 6.1
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Product of a Product Property—Let a be a real number, and let m be integers. To find a ____________ of a ______________, find the _____________ of each _______________ and _________________.
(__________)_____ = __________ Example:
Power of a Quotient Property—Let a be a real number with 𝑏 ≠ 0, and let m be an integer. To find the ______________ of a _______________, find the power of the ________________ and the power of the __________________ and _____________.
(_______)_____ = __________ where 𝑏 ≠ 0
Example:
Example 3: Using Properties of Exponents Simplify each expression.
You Try! Simplify the expression.
Algebra 1