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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3341 : Algebra Ii

Expand:

3^4

Possible Answers:

3*3*3*3

3*4

4*4*4

3^4*3^4*3^4*3^4

3*4*3*4

Correct answer:

3*3*3*3

Explanation:

When we expand exponents, we simply repeat the base by the exponential value.

Therefore:

3^4=3*3*3*3

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Example Question #3342 : Algebra Ii

Expand:

2^8

Possible Answers:

8*8

2*2*2*2*2*2*2

2*8

2^8*2^8*2^8*2^8*2^8*2^8*2^8*2^8*

2*2*2*2*2*2*2*2

Correct answer:

2*2*2*2*2*2*2*2

Explanation:

When we expand exponents, we simply repeat the base by the exponential value.

Therefore:

2^8=2*2*2*2*2*2*2*2

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Example Question #681 : Mathematical Relationships And Basic Graphs

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 #14 : Simple Exponents

Expand:

$5^{-4}$

Possible Answers:

-5*4

5*4*-5*-4

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

-5*-5*-5*-5

4*4*4*4*4

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 #15 : Simple Exponents

Evaluate:

$8^{-3}$

Possible Answers:

$\frac{1}{512}$

$-\frac{1}{512}$

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 #682 : Mathematical Relationships And Basic Graphs

Simplify:

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

Possible Answers:

5^7

$5^{20}$

5^6

$5^{25}$

25^5

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 #683 : Mathematical Relationships And Basic Graphs

Expand:

7^4

Possible Answers:

4*7*4*7

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

7*7*7*7

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

7*4

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 #684 : Mathematical Relationships And Basic Graphs

Expand:

8^5

Possible Answers:

8*5*5*8

8*8*8*8*8

5*8

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

5*8*8*8*8*5

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 #685 : Mathematical Relationships And Basic Graphs

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 #686 : Mathematical Relationships And Basic Graphs

Evaluate:

$4^{4}$

Possible Answers:

128

256

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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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #3341 : Algebra Ii

Example Question #3342 : Algebra Ii

Example Question #681 : Mathematical Relationships And Basic Graphs

Example Question #14 : Simple Exponents

Example Question #15 : Simple Exponents

Example Question #682 : Mathematical Relationships And Basic Graphs

Example Question #683 : Mathematical Relationships And Basic Graphs

Example Question #684 : Mathematical Relationships And Basic Graphs

Example Question #685 : Mathematical Relationships And Basic Graphs

Example Question #686 : Mathematical Relationships And Basic Graphs

All Algebra II Resources

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