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Algebra II : Understanding Exponents

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #271 : Exponents

Simplify: -2^6+2^3

Possible Answers:

Correct answer:

Explanation:

A number raised by a power is multiplied by itself that number of times.

Rewrite the expression.

$-2^6+2^3 = -(2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2)+(2\cdot 2\cdot 2)$

Simplify the terms.

-64+8 = -56

The answer is:

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Example Question #272 : Exponents

Simplify: -2^3+0^1+3^2+5^2

Possible Answers:

Correct answer:

Explanation:

Evaluate each term.

$-2^3 = -(2\times 2\times 2) = -8$

0^1=0

3^2=9

$5^2 = 5\times 5 = 25$

Add all the terms.

-8+9+25 = 26

The answer is:

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Example Question #273 : Exponents

Solve the exponents: 4^2+5^3-(-2)^3

Possible Answers:

133

141

149

Correct answer:

149

Explanation:

Simplify each term. An number raised to a certain integer is the number of times the number will multiply itself by.

$4^2 =4\times 4= 16$

$5^3 = 5\times 5\times 5= 125$

(-2)^3 = (-2)(-2)(-2) = -8

Determine the sum.

4^2+5^3-(-2)^3 = 16+125-(-8) = 16+125+8 = 149

The answer is: 149

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Example Question #274 : Exponents

Solve: 2^3+8^2-10^3

Possible Answers:

Correct answer:

Explanation:

Evaluate each term given.

2^3=8

8^2=64

10^3= 1000

Rewrite the expression.

2^3+8^2-10^3=8+64-1000 =-928

The answer is:

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Example Question #271 : Understanding Exponents

Evaluate: (-9)^4

Possible Answers:

7241

6561

8451

Correct answer:

6561

Explanation:

We know that (-9)^4=-9*-9*-9*-9 . The product is positive we have even number of negative signs. Therefor our answer is 6561 .

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Example Question #272 : Understanding Exponents

Evaluate: -6^3

Possible Answers:

216

Correct answer:

Explanation:

We know that -6^3 is expanded out to -(6*6*6) . Remember we apply the exponent part of PEMDAS before we add the negative sign. Therefore our answer is .

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Example Question #273 : Understanding Exponents

Expand: 6^7

Possible Answers:

7*7*7*7*7*7

6*7*6*7*6*7

6*6*6*6*6*6*6

7*6

6^7*6^7*6^7*6^7*6^7*6^7*6^7

Correct answer:

6*6*6*6*6*6*6

Explanation:

To expand the exponent, we multiply the base by whatever the exponent is.

6^7=6*6*6*6*6*6*6

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Example Question #274 : Understanding Exponents

Expand: -5^7

Possible Answers:

-(5*5*5*5*5*5*5)

-5*7

-5^7*-5^7*-5^7*-5^7*-5^7*-5^7*-5^7

-5*-5*-5*-5*-5*-5*-5

5^7*5^7*5^7*5^7*5^7*5^7*5^7

Correct answer:

-(5*5*5*5*5*5*5)

Explanation:

To expand the exponent, we multiply the base by whatever the exponent is. Because there is a negative sign present, we need to apply the exponent first and then add the negative sign.

-5^7=-(5*5*5*5*5*5*5)

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Example Question #275 : Understanding Exponents

Expand: (-4^5)

Possible Answers:

-4*5

-4^5*-4^5*-4^5*-4^5*-4^5

-5*-5*-5*-5

-4*-4*-4*-4*-4

4*4*4*4*4

Correct answer:

-4*-4*-4*-4*-4

Explanation:

To expand the exponent, we multiply the base by whatever the exponent is.

(-4^5)=-4*-4*-4*-4*-4

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Example Question #276 : Understanding Exponents

Evaluate: $\frac{3}{x^0+y^0}$

Possible Answers:

$\frac{3}{x+y}$

$\frac{2}{3}$

undefined

$\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

Although we have two variables, we do know that a number raised to a zero power is one. Therefore:

$\frac{3}{x^0+y^0}=\frac{3}{1+1}=\frac{3}{2}$

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Algebra II : Understanding Exponents

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #271 : Exponents

Example Question #272 : Exponents

Example Question #273 : Exponents

Example Question #274 : Exponents

Example Question #271 : Understanding Exponents

Example Question #272 : Understanding Exponents

Example Question #273 : Understanding Exponents

Example Question #274 : Understanding Exponents

Example Question #275 : Understanding Exponents

Example Question #276 : Understanding Exponents

All Algebra II Resources

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