Expressing Radicals as Exponents - Math

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.

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.

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:

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:

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

Simplify the expression:

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

Simplify the expression:

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

Simplify the expression:

Multiply the numerator and denominator to the exponent:

Simplify the expression by combining like terms:

Multiply the numerator and denominator to the exponent:

Simplify the expression by combining like terms:

Begin by converting each exponent to have a denominator of :

Now, rearrange into radical form:

Finally, simplify:

Begin by converting each exponent to have a denominator of :

Now, put this in radical form:

Finally, simplify:

Begin by changing the fractional exponents so that they both have a common denominator of :

Now, put this in radical form and simplify:

Begin by converting the radical into exponent form:

Simplify the exponent and multiply:

Convert into radical form:

Simplify:

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.

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.

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:

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:

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:

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

Simplify the expression: