Evaluate Sums and Products of Powers
Written by Adi Ackerman, Head Teacher
"Evaluate Sums and Products of Powers" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.EE.A.1. If your student is a year younger but already steady on exponents, the page still works. You may just need to read the instructions out loud. And if they are older and powers of whole numbers never quite stuck, this is a short review rather than busywork.


6th grade math worksheet: evaluate 12 expressions like 4 cubed + 9 squared and 6 cubed ÷ 2 by finding each power first. Answer key included. Part of our powers of whole numbers exponents collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Write Repeated Multiplication With Exponents so students see what an exponent counts. Then evaluate powers and finish with the expressions page.
What students will practice
- Students will find the value of 12 expressions that add, subtract, multiply or divide powers.
- Students will evaluate each power first, as in 2 squared + 3 squared = 4 + 9 = 13.
- Students will work with results up to 755, as in 8 cubed + 3 to the 5th power.


Evaluate Exponents With Whole Number Bases


Evaluate Larger Powers of Whole Numbers


Exponents With Fraction and Decimal Bases


Zero and Negative Exponents With Whole Number Bases


Zero and Negative Exponents With Fraction Bases


Write Repeated Multiplication With Exponents


Evaluate Powers With Negative Bases


Evaluate Powers of Fractions and Decimals
Curriculum Links
Common Core State Standards
Expressions and Equations · 6th Grade
Standard: Write and evaluate numerical expressions involving whole-number exponents.
View all 6.EE.A.1 worksheets →Find this in the curriculum
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FAQ
How do I use this powers of whole numbers worksheet?
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Start with Write Repeated Multiplication With Exponents so students see what an exponent counts. Then evaluate powers and finish with the expressions page.
What does this worksheet teach?
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Evaluate 12 expressions like 4 cubed + 9 squared and 6 cubed ÷ 2 by finding each power first. Find the value of each power first, then do the operation: 2 2 + 3 2 = 4 + 9 = 13. The directions on the page read: Find the value of each expression. Use the space under each one for your work. An answer key is included.
Can I use this powers of whole numbers worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade exponents, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with powers of whole numbers. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
What is the base and what is the exponent?
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The base is the number being multiplied and the exponent says how many times it is a factor. In 6 to the 4th power, 6 is the base and 4 is the exponent, so it means 6 × 6 × 6 × 6.
Is 3 squared the same as 3 × 2?
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No. 3 squared = 3 × 3 = 9, while 3 × 2 = 6. Mixing these up is the most common exponent mistake.
How big do the powers get?
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Evaluate Larger Powers of Whole Numbers goes up to 8 to the 6th power = 262,144 and 10 to the 6th power = 1,000,000.
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Evaluate Exponents With Whole Number Bases


Evaluate Larger Powers of Whole Numbers


Exponents With Fraction and Decimal Bases


Zero and Negative Exponents With Whole Number Bases


Zero and Negative Exponents With Fraction Bases


Write Repeated Multiplication With Exponents


Evaluate Powers With Negative Bases


Evaluate Powers of Fractions and Decimals