Power of a Product Worksheet
Grade 8 Math worksheet covering the power of a product rule with various exercises including multiple choice, fill-in-the-blanks, and short answer questions.
Includes
Standards
Topics
Power of a Product
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which expression is equivalent to (2x)³?
2x³
6x
8x³
8x
2. Simplify (ab²)⁴.
ab⁸
a⁴b⁶
a⁴b⁸
a⁴b²
3. The power of a product rule states that (ab)ⁿ = aⁿ .
4. When simplifying (3y)², you would get .
5. (5m)³ is equal to 5m³.
True
False
6. (xy)⁵ = x⁵y⁵.
True
False
7. Simplify the expression (4p²)³.
8. Explain in your own words the 'Power of a Product' rule.
Match each expression on the left with its simplified form on the right.
9. (2x)⁴
a. 25a²b²
10. (3mn)³
b. 16x⁴
11. (5ab)²
c. 27m³n³