Products of Powers Example
Presentation
•
Mathematics
•
7th - 8th Grade
•
Easy
AUTUMN SCHEER
Used 4+ times
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5 Slides • 1 Question
1
The Products of Powers property states that to multiply powers with the SAME BASE, you must add their exponents.
am (an) = am+n
2
9xy2⋅9x5y2
Step 1:
Reorder (use the Commutative Property)
9 ⋅ 9 ⋅ x1 ⋅ x5 ⋅ y2 ⋅ y2
3
9xy2⋅9x5y2
Step 2:
Use the Associative Property to group like terms & multiply the coefficients.
9 ⋅ 9 = 81
81 ⋅ x1 ⋅ x5 ⋅ y2 ⋅ y2
4
9xy2⋅9x5y2
Step 3:
Use the Product of Powers Property to add the exponents.
81 ⋅ x1 ⋅ x5 ⋅ y2 ⋅ y2
81 ⋅ (x1+5) ⋅ (y2+2)
81 ⋅ x6 ⋅ y4
5
9xy2⋅9x5y2
Step 4:
Simplify
81x6y4
6
Multiple Choice
Simplify 3u4v5 ⋅ 7u2v3
21u2v8
-21u6v8
21u6v8
The Products of Powers property states that to multiply powers with the SAME BASE, you must add their exponents.
am (an) = am+n
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