Rewrite the given expressions in the opposite form.
To begin, notice that the expression is written in radical form. Thus, it needs to be rewritten with a rational exponent. Recall that Notice that in does not have an exponent. That means it is raised to the power of This gives
This expression has a rational exponent. Thus, we must rewrite it with a radical. Recall that Since the denominator of the exponent is we can write the cube root of
The properties of radicals allow expressions with radicals to be rewritten.
Simplify the expression using the properties of radicals.
In order to simplify an root, it is necessary that the radicand can be expressed as a power. If the index of the radical and the power of the radicand are equal, the radical expression can be simplified as follows.The absolute value of a number is always non-negative, so when is even, the result will always be non-negative.
Next, rewrite the radicals using rational exponents. The example can be rewritten as follows.
When the expression has been simplified completely, it can be rewritten using radicals. This is the simplified expression.
Simplify the expression using the properties of exponents.