Evaluate the exponential expression

Hi Eyni, let's look at this problem together. We need to evaluate this expression involving powers and roots.

The expression given is two hundred and forty-three raised to the power of one fifth, multiplied by sixteen raised to the power of one third.

Let's work with the first term. We can rewrite two hundred and forty-three as three to the power of five, because three times three times three times three times three equals two hundred and forty-three.

Using the power of a power rule, we multiply the exponents. Five times one fifth is one, so this term simplifies to just three.

Now let's look at sixteen to the power of one third. A power of one third is the same as taking the cube root.