Algebra II : Exponents

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #221 : Exponents

Evaluate 

Possible Answers:

Correct answer:

Explanation:

We can expand  to . The product of these fractions is .

Example Question #23 : Simple Exponents

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Although the exponents are not the same base, we can change the bases. Let's change base  to base . We know . By applying power rule of exponents, we get . Finally, with the same base, we just add the exponents and keep the base the same.

Example Question #222 : Exponents

Evaluate 

Possible Answers:

Correct answer:

Explanation:

With the negative inside the parenthesis, we multiply the base four times. Since the exponent is even, our answer will be even. Answer is .

Example Question #8 : Expressions & Equations

Expand: 

Possible Answers:

Correct answer:

Explanation:

To expand the exponent, we just multiply the base out by the exponent present.

Example Question #25 : Simple Exponents

Which exponent is NOT the same as 

Possible Answers:

Correct answer:

Explanation:

We can express  as  which is the same as . That is also . We can also say it is  or . Lastly, if we multiply  by itself  times, we get  and another  leftover to be multiplied. This leaves  as the correct answer.

Example Question #223 : Understanding Exponents

Evaluate 

Possible Answers:

Correct answer:

Explanation:

We can expand  to . The product is .

Example Question #27 : Simple Exponents

Convert   to base .

Possible Answers:

Correct answer:

Explanation:

We know . Now, we need to know the exponent that raises base  to match our question. We set-up as such: 

 Divide  on both sides.

 Answer is 

Example Question #223 : Exponents

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

 We need to remember to do the exponent first before applying the negative sign.

Answer is .

Example Question #224 : Exponents

Expand: 

Possible Answers:

Correct answer:

Explanation:

When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.

Example Question #12 : Expressions & Equations

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.

 is expanded out to .

When we multiply the numbers, we get a product of .

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