Algebra II : Exponents

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #501 : Exponents

Simplify 

Possible Answers:

Correct answer:

Explanation:

First combine like variables.  There is only one variable in this equation, so you can skip that step.  Next, you move negative exponents to the opposite side of the fraction and then add the exponents because we are multiplying. 4+5=9 and 3+5=8 giving us  which simplifies to 

Example Question #502 : Exponents

Simplify  

Possible Answers:

Not possible. 

Correct answer:

Explanation:

First combine like variables. This leaves us with  which is equal to 

Example Question #503 : Exponents

Simplify 

Possible Answers:

Not possible. 

Correct answer:

Explanation:

First combine like variables by adding exponents. This leaves us with 

Example Question #504 : Exponents

Simplify 

Possible Answers:

Not possible

Correct answer:

Explanation:

First, combine exponents of like variables.  This gives us  which simplifies to 

Example Question #505 : Exponents

Simplify 

Possible Answers:

Correct answer:

Explanation:

First, combine exponents of like variables.  This gives us 

Example Question #506 : Exponents

Simplify 

Possible Answers:

Correct answer:

Explanation:

First, combine exponents of like variables.  This gives us  which simplifies to 

Example Question #507 : Exponents

Simplify 

Possible Answers:

Correct answer:

Explanation:

First, combine exponents of like variables and add them together.  This gives us  which simplifies to 

Example Question #3639 : Algebra Ii

The expression  is equivalent to?

Possible Answers:

Correct answer:

Explanation:

By simplifying the exponents: bringing the  to the numerator and adding the two a's together, getting  in the numerator, and bringing the  to the denominator and adding the two b's together, getting  in the denominator. 

Example Question #3641 : Algebra Ii

Divide the exponents:  

Possible Answers:

Correct answer:

Explanation:

Since both of the terms are divided and share a common base, we can simplify the exponents by subtraction.

The negative exponent can be rewritten as fraction.

The answer is:  

Example Question #3642 : Algebra Ii

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Evaluate the first term by subtracting the exponents.

The answer is:  

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