Remember the denominator of a rational exponent is equivalent to the index of a root.

This should simplify quite nicely.

When it gives us,

To remove the rational exponent, cube both sides of the equation:

Now simplify both sides of the equation:

To remove the rational exponent, cube both sides of the equation:

Now simplify both sides of the equation:

Remember the denominator of a rational exponent is equivalent to the index of a root.

This should simplify quite nicely.

When it gives us,

.

.

We begin by factoring out the term to get:

This equation gives our first solution:

Then we check for more solutions:

Therefore our solution is

When dividing two exponents with the same base we subtract the exponents:

Negative exponents are dealt with based on the rule

:

To remove the fractional exponents, raise both sides to the second power and simplify:

Now solve for :

When an exponent is raised to the power of another exponent, just multiply the exponents together.