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Algebra II : Understanding Exponents

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #211 : Understanding Exponents

Evaluate:

4^4

Possible Answers:

1024

256

Correct answer:

256

Explanation:

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

We will simply multiply the values in order to get the answer:

256

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Example Question #3344 : Algebra Ii

Expand:

$5^{-4}$

Possible Answers:

$\frac{1}{5}*\frac{1}{5}*\frac{1}{5}*\frac{1}{5}$

4*4*4*4*4

-5*4

5*4*-5*-4

-5*-5*-5*-5

Correct answer:

$\frac{1}{5}*\frac{1}{5}*\frac{1}{5}*\frac{1}{5}$

Explanation:

When exponents are negative, we can express them usinf the following format: $x^{-a}=\frac{1}{x^a}$

in this formula, is a positive exponent and is the base.

We can express $5^{-4}$ as $(5^{-1})^4$ , which is also the same as:

$\frac{1}{5}*\frac{1}{5}*\frac{1}{5}*\frac{1}{5}$

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Example Question #3345 : Algebra Ii

Evaluate:

$8^{-3}$

Possible Answers:

512

$\frac{1}{512}$

$-\frac{1}{512}$

Correct answer:

$\frac{1}{512}$

Explanation:

When exponents are negative, we can express them usinf the following format: $x^{-a}=\frac{1}{x^a}$

in this formula, is a positive exponent and is the base.

Therefore:

$8^{-3}=\frac{1}{8}*\frac{1}{8}*\frac{1}{8}=\frac{1}{512}$

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Example Question #2 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Simplify:

5^5+5^5+5^5+5^5+5^5

Possible Answers:

$5^{20}$

5^6

25^5

$5^{25}$

5^7

Correct answer:

5^6

Explanation:

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

Let's start by factoring out the following:

5^5

Factor.

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

Expand:

7^4

Possible Answers:

4*7*4*7

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

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

7*4

7*7*7*7

Correct answer:

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.

7^4=7*7*7*7

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

Expand:

8^5

Possible Answers:

8*5*5*8

5*8

5*8*8*8*8*5

5*5*5*5*5*5*5*5

8*8*8*8*8

Correct answer:

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.

8^5=8*8*8*8*8

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Example Question #2 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Evaluate:

2^4

Possible Answers:

Correct answer:

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 is expanded to 2*2*2*2 .

The product is .

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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 #212 : Understanding Exponents

Expand: 9^9

Possible Answers:

99*99*99*99*99*99

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

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 #21 : Simple Exponents

Which of the following is the same as 4^4 ?

Possible Answers:

16^2

2^7

16^1

32^2

8^2

Correct answer:

16^2

Explanation:

4^4 is expanded out to 4*4*4*4 . This is also the same as 16*16 or 16^2 which is the correct answer.

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Algebra II : Understanding Exponents

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #211 : Understanding Exponents

Example Question #3344 : Algebra Ii

Example Question #3345 : Algebra Ii

Example Question #2 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

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

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

Example Question #2 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Example Question #7 : Expressions & Equations

Example Question #212 : Understanding Exponents

Example Question #21 : Simple Exponents

All Algebra II Resources

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