### All High School Math Resources

## Example Questions

### Example Question #50 : Algebra Ii

Convert the radical to exponential notation.

**Possible Answers:**

**Correct answer:**

Remember that any term outside the radical will be in the denominator of the exponent.

Since does not have any roots, we are simply raising it to the one-fourth power.

### Example Question #51 : Algebra Ii

What is the value of ?

**Possible Answers:**

243

27

2.41

3

9

**Correct answer:**

243

An exponent written as a fraction can be rewritten using roots. can be reqritten as . The bottom number on the fraction becomes the root, and the top becomes the exponent you raise the number to. is the same as . This will give us the answer of 243.

### Example Question #52 : Algebra Ii

Express the following radical in rational (exponential) form:

**Possible Answers:**

**Correct answer:**

To convert the radical to exponent form, begin by converting the integer:

Now, divide each exponent by to clear the square root:

Finally, simplify the exponents:

### Example Question #53 : Algebra Ii

Express the following radical in rational (exponential) form:

**Possible Answers:**

**Correct answer:**

To convert the radical to exponent form, begin by converting the integer:

Now, divide each exponent by to cancel the radical:

Finally, simplify the exponents:

### Example Question #1 : Expressing Radicals As Exponents

Which fraction is equivalent to ?

**Possible Answers:**

**Correct answer:**

Multiply the numerator and denominator by the compliment of the denominator:

Simplify the expression:

### Example Question #55 : Algebra Ii

Simplify the following radical. Express in rational (exponential) form.

**Possible Answers:**

**Correct answer:**

Multiply the numerator and denominator by the compliment of the denominator:

Simplify the expression:

### Example Question #51 : Algebra Ii

Choose the fraction equivalent to .

**Possible Answers:**

**Correct answer:**

Multiply the numerator and denominator by the compliment of the denominator:

Simplify the expression:

### Example Question #57 : Algebra Ii

Simplify the following radical. Express in rational (exponential) form.

**Possible Answers:**

**Correct answer:**

Multiply the numerator and denominator to the exponent:

Simplify the expression by combining like terms:

### Example Question #1 : Radicals

Express the following radical in rational (exponential) form:

**Possible Answers:**

**Correct answer:**

To convert the radical to exponent form, begin by converting the integer:

Now, divide each exponent by to remove the radical:

Finally, simplify the exponents:

### Example Question #59 : Algebra Ii

Simplify:

**Possible Answers:**

**Correct answer:**

Multiply the numerator and denominator to the exponent:

Simplify the expression by combining like terms:

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