Algebra II : Exponents

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #291 : Understanding Exponents

Solve:  

Possible Answers:

Correct answer:

Explanation:

Evaluate each term.  

The value of any number to the zeroth power is equal to one.

Add the two terms.

This term is irreducible.

The answer is:  

Example Question #292 : Understanding Exponents

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Simplify the terms inside the parentheses first.  Since both terms have the similar base, the exponents can be added.

Simplify this term.

The answer is:  

Example Question #293 : Understanding Exponents

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Evaluate each term given.

Rewrite the terms.

The answer is:  

Example Question #294 : Understanding Exponents

Solve:  

Possible Answers:

Correct answer:

Explanation:

Evaluate each term.

Replace the values.

The answer is:  

Example Question #295 : Understanding Exponents

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Evaluate each term.  The powers indicate how many times the integer is multiplied by itself.

Replace all values.

The answer is:  

Example Question #296 : Understanding Exponents

Solve:  

Possible Answers:

Correct answer:

Explanation:

Evaluate each term.

Any value to the power of zero, except zero is defined.

The answer is:  

Example Question #297 : Understanding Exponents

Solve:  

Possible Answers:

Correct answer:

Explanation:

Solve each fraction by expanding the terms.

Add the fractions.  Change the fraction one ninth to a common fraction with the first fraction.

The answer is:  

Example Question #91 : Simple Exponents

Solve:  

Possible Answers:

Correct answer:

Explanation:

Notice that the values of each term shares the quantity .

This means that this is a like-term of all the terms, and the coefficients can be added.

Reduce the cube.

The answer is:  

Example Question #298 : Understanding Exponents

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Simplify each term.

Replace all the final values.

The answer is:  

Example Question #101 : Simple Exponents

Try without a calculator:

Which is true about  ?

Possible Answers:

Cannot be determined 

 is an undefined quantity.

Correct answer:

 is an undefined quantity.

Explanation:

 is considered to be an expression of undefined value.

Learning Tools by Varsity Tutors