All High School Math Resources
Example Questions
Example Question #1 : Understanding Radicals
What is the value of ?
27
2.41
9
3
243
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 #3 : Expressing Radicals As Exponents
Express the following radical in rational (exponential) form:
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 #4 : Expressing Radicals As Exponents
Express the following radical in rational (exponential) form:
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 #5 : Expressing Radicals As Exponents
Which fraction is equivalent to ?
Multiply the numerator and denominator by the compliment of the denominator:
Simplify the expression:
Example Question #2 : Understanding Radicals
Simplify the following radical. Express in rational (exponential) form.
Multiply the numerator and denominator by the compliment of the denominator:
Simplify the expression:
Example Question #7 : Expressing Radicals As Exponents
Choose the fraction equivalent to .
Multiply the numerator and denominator by the compliment of the denominator:
Simplify the expression:
Example Question #8 : Expressing Radicals As Exponents
Simplify the following radical. Express in rational (exponential) form.
Multiply the numerator and denominator to the exponent:
Simplify the expression by combining like terms:
Example Question #9 : Expressing Radicals As Exponents
Express the following radical in rational (exponential) form:
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 #10 : Expressing Radicals As Exponents
Simplify:
Multiply the numerator and denominator to the exponent:
Simplify the expression by combining like terms:
Example Question #11 : Expressing Radicals As Exponents
Express the following exponent in radical form:
Begin by converting each exponent to have a denominator of :
Now, rearrange into radical form:
Finally, simplify: