# High School Math : Expressing Radicals as Exponents

## Example Questions

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### Example Question #2 : Radicals

Convert the radical to exponential notation.      Explanation:

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 #1 : Expressing Radicals As Exponents

What is the value of ?

9

27

243

3

2.41

243

Explanation:

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 #1 : Radicals

Express the following radical in rational (exponential) form:       Explanation:

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 #1242 : High School Math

Express the following radical in rational (exponential) form:       Explanation:

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 #51 : Algebra Ii

Which fraction is equivalent to ?     Explanation:

Multiply the numerator and denominator by the compliment of the denominator: Simplify the expression: ### Example Question #1 : Radicals

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

Multiply the numerator and denominator by the compliment of the denominator: Simplify the expression: ### Example Question #1 : Expressing Radicals As Exponents

Choose the fraction equivalent to .     Explanation:

Multiply the numerator and denominator by the compliment of the denominator:  Simplify the expression: ### Example Question #1 : Expressing Radicals As Exponents

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

Multiply the numerator and denominator to the exponent:  Simplify the expression by combining like terms: ### Example Question #51 : Mathematical Relationships And Basic Graphs

Express the following radical in rational (exponential) form:       Explanation:

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 #1 : Expressing Radicals As Exponents

Simplify:      Explanation:

Multiply the numerator and denominator to the exponent:  Simplify the expression by combining like terms: ← Previous 1

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