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Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #7 : Expressions & Equations

Evaluate:

$4^{4}$

Possible Answers:

256

128

Correct answer:

256

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

4^4 is expanded to 4*4*4*4 .

The product is 256 .

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Example Question #1 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Expand: 9^9

Possible Answers:

9*9*9*9*9*9*9*9

9*9*9*9*9*9*9*9*9

9*9

9^9*9^9*9^9*9^9*9^9*9^9*9^9*9^9*9^9

99*99*99*99*99*99

Correct answer:

9*9*9*9*9*9*9*9*9

Explanation:

9^9 To expand the exponent, we just multiply the base out by the exponent present.

9^9=9*9*9*9*9*9*9*9*9

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Example Question #221 : Exponents

Expand: 10^7

Possible Answers:

7*10*7*10

10*7

7*7*7*7*7*7*7*7*7*7

10*10*10*10*10*10*10

10*10*10*10*10

Correct answer:

10*10*10*10*10*10*10

Explanation:

To expand the exponent, we just multiply the base out by the exponent present.

10^7= 10*10*10*10*10*10*10

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Example Question #11 : Expressions & Equations

Expand:

12^4

Possible Answers:

144*16

12*12*12*12*4*4*4*4

12*12*12*12

12*4

4*4*4*4*4*4*4*4*4*4*4*4

Correct answer:

12*12*12*12

Explanation:

When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.

12^4=12*12*12*12

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Example Question #11 : Expressions & Equations

Evaluate:

7^4

Possible Answers:

2401

7777

2603

4703

4949

Correct answer:

2401

Explanation:

When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.

7^4 is expanded out to 7*7*7*7 .

When we multiply the numbers, we get a product of 2401 .

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Example Question #12 : Expressions & Equations

Expand:

18^8

Possible Answers:

18*8

18*18*18*18*8*8*8*8

18*8*8*18

8*8*8*8*8*8*8*8*8*8*8*8*8*8*8*8*8*8

18*18*18*18*18*18*18*18

Correct answer:

18*18*18*18*18*18*18*18

Explanation:

When expanding an exponent, we must multiply the base by itself for the number of indicated by the exponential value.

18^8=18*18*18*18*18*18*18*18

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Example Question #241 : Exponents

Evaluate:

15^3

Possible Answers:

3375

2525

1025

2575

1515

Correct answer:

3375

Explanation:

When expanding an exponent, we must multiply the base by itself for the number of indicated by the exponential value.

15^3 is expanded out to the following:

15*15*15

The product is 3375 .

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Example Question #81 : Algebra

What is 9^3 written as a multiplication problem?

Possible Answers:

$3\times3\times3$

$9\times9\times9$

$9\times9\times9\times3$

Correct answer:

$9\times9\times9$

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is and our exponential value is . So we multiply by itself times.

Remember, the question asks us for the multiplication problem, not the answer to 9^3 . Because of this, $9\times9\times9$ is our correct answer.

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Example Question #15 : Expressions & Equations

What is 2^7 written as a multiplication problem?

Possible Answers:

128

$2\times2\times2\times2\times2\times2\times2$

$7\times7$

$7\times2$

Correct answer:

$2\times2\times2\times2\times2\times2\times2$

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is and our exponential value is . So we multiply by itself times.

Remember, the question asks us for the multiplication problem, not the answer to 2^7 . Because of this, $2\times2\times2\times2\times2\times2\times2$ is our correct answer.

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Example Question #13 : Expressions & Equations

What is 3^2 written as a multiplication problem?

Possible Answers:

$3\times3$

$3\times2$

Correct answer:

$3\times3$

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is and our exponential value is . So we multiply by itself times.

Remember, the question asks us for the multiplication problem, not the answer to 3^2 . Because of this, $3\times3$ is our correct answer.

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All Common Core: 6th Grade Math Resources

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Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #7 : Expressions & Equations

Example Question #1 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Example Question #221 : Exponents

Example Question #11 : Expressions & Equations

Example Question #11 : Expressions & Equations

Example Question #12 : Expressions & Equations

Example Question #241 : Exponents

Example Question #81 : Algebra

Example Question #15 : Expressions & Equations

Example Question #13 : Expressions & Equations

All Common Core: 6th Grade Math Resources

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