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Common Core: 6th Grade Math : Write and Evaluate Numerical Expressions With Exponents: CCSS.Math.Content.6.EE.A.1

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

$5^{4}=$ $\displaystyle 5^{4}=$

Possible Answers:

625 $\displaystyle 625$

$\displaystyle 20$

$\displaystyle 25$

125 $\displaystyle 125$

Correct answer:

625 $\displaystyle 625$

Explanation:

Multiply: $5\cdot 5\cdot 5\cdot 5=625$ $\displaystyle 5\cdot 5\cdot 5\cdot 5=625$

Answer: 625 $\displaystyle 625$

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Example Question #1 : Expressions & Equations

$6^{4}=$ $\displaystyle 6^{4}=$

Possible Answers:

$\displaystyle 24$

$\displaystyle 36$

216 $\displaystyle 216$

1296 $\displaystyle 1296$

Correct answer:

1296 $\displaystyle 1296$

Explanation:

Multiply:

$6\cdot 6\cdot 6\cdot 6=1296$ $\displaystyle 6\cdot 6\cdot 6\cdot 6=1296$

Answer: 1296 $\displaystyle 1296$

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Example Question #83 : How To Find The Solution To An Equation

$9^{3=}$ $\displaystyle 9^{3=}$

Possible Answers:

$\displaystyle 27$

243 $\displaystyle 243$

$\displaystyle 81$

729 $\displaystyle 729$

Correct answer:

729 $\displaystyle 729$

Explanation:

Multiply:

$9\cdot 9\cdot 9=729$ $\displaystyle 9\cdot 9\cdot 9=729$

Answer: 729 $\displaystyle 729$

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Example Question #4 : Expressions & Equations

Simplify:

$\displaystyle 5^5+5^5+5^5+5^5+5^5$

Possible Answers:

25^5 $\displaystyle 25^5$

5^7 $\displaystyle 5^7$

$5^{20}$ $\displaystyle 5^{20}$

5^6 $\displaystyle 5^6$

$5^{25}$ $\displaystyle 5^{25}$

Correct answer:

5^6 $\displaystyle 5^6$

Explanation:

When adding exponents, we first need to factor common terms.

Let's start by factoring out the following:

5^5 $\displaystyle 5^5$

Factor.

$\displaystyle 5^5+5^5+5^5+5^5+5^5=5^5(1+1+1+1+1)=5^5(5)=5^6$

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Example Question #212 : Exponents

Expand:

7^4 $\displaystyle 7^4$

Possible Answers:

7*7*7*7 $\displaystyle 7*7*7*7$

7*4 $\displaystyle 7*4$

$\displaystyle 4*4*4*4*4*4*4$

4*7*4*7 $\displaystyle 4*7*4*7$

$\displaystyle 7*7*7*7*7*7*7$

Correct answer:

7*7*7*7 $\displaystyle 7*7*7*7$

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.

$\displaystyle 7^4=7*7*7*7$

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Example Question #11 : Simple Exponents

Expand:

8^5 $\displaystyle 8^5$

Possible Answers:

$\displaystyle 5*5*5*5*5*5*5*5$

5*8 $\displaystyle 5*8$

$\displaystyle 5*8*8*8*8*5$

8*5*5*8 $\displaystyle 8*5*5*8$

$\displaystyle 8*8*8*8*8$

Correct answer:

$\displaystyle 8*8*8*8*8$

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.

$\displaystyle 8^5=8*8*8*8*8$

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Example Question #5 : Expressions & Equations

Evaluate:

2^4 $\displaystyle 2^4$

Possible Answers:

$\displaystyle 32$

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle 8$

$\displaystyle 16$

Correct answer:

$\displaystyle 16$

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.

2^4 $\displaystyle 2^4$ is expanded to 2*2*2*2 $\displaystyle 2*2*2*2$ .

The product is $\displaystyle 16$ .

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Example Question #7 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Evaluate:

$4^{4}$ $\displaystyle 4^{4}$

Possible Answers:

$\displaystyle 16$

$\displaystyle 32$

256 $\displaystyle 256$

128 $\displaystyle 128$

$\displaystyle 64$

Correct answer:

256 $\displaystyle 256$

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 $\displaystyle 4^4$ is expanded to 4*4*4*4 $\displaystyle 4*4*4*4$ .

The product is 256 $\displaystyle 256$ .

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Example Question #1 : Expressions & Equations

Expand: 9^9 $\displaystyle 9^9$

Possible Answers:

$\displaystyle 99*99*99*99*99*99$

$\displaystyle 9*9*9*9*9*9*9*9$

9*9 $\displaystyle 9*9$

$\displaystyle 9*9*9*9*9*9*9*9*9$

$\displaystyle 9^9*9^9*9^9*9^9*9^9*9^9*9^9*9^9*9^9$

Correct answer:

$\displaystyle 9*9*9*9*9*9*9*9*9$

Explanation:

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

$\displaystyle 9^9=9*9*9*9*9*9*9*9*9$

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Example Question #1 : Expressions & Equations

Expand: 10^7 $\displaystyle 10^7$

Possible Answers:

$\displaystyle 7*10*7*10$

10*7 $\displaystyle 10*7$

$\displaystyle 10*10*10*10*10*10*10$

$\displaystyle 7*7*7*7*7*7*7*7*7*7$

$\displaystyle 10*10*10*10*10$

Correct answer:

$\displaystyle 10*10*10*10*10*10*10$

Explanation:

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

10^7= $\displaystyle 10^7=$ $\displaystyle 10*10*10*10*10*10*10$

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Common Core: 6th Grade Math : Write and Evaluate Numerical Expressions With Exponents: CCSS.Math.Content.6.EE.A.1

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

All Common Core: 6th Grade Math Resources

Example Questions

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

Example Question #1 : Expressions & Equations

Example Question #83 : How To Find The Solution To An Equation

Example Question #4 : Expressions & Equations

Example Question #212 : Exponents

Example Question #11 : Simple Exponents

Example Question #5 : Expressions & Equations

Example Question #7 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Example Question #1 : Expressions & Equations

Example Question #1 : Expressions & Equations

All Common Core: 6th Grade Math Resources

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