Answer: [tex]\sqrt{16^{3} }[/tex]
Step-by-step explanation:
When you have an expression such as [tex]x^\frac{a}{b}[/tex] the base x will be what is manipulated in the final expression.
If you are asked to convert this type of expression, all you have to do is [tex]x^{a}[/tex] and take the root of it so it looks like this [tex]\sqrt[b]{x^a}[/tex]
Let's use this formula in the question:
We are given: [tex]16^{3/2}[/tex]
[tex]x=16, a=3, b=2[/tex]
Write it in the form [tex]x^a[/tex] ⇒ [tex]16^3[/tex]
Now take the root of the denominator(since b = 2, it will just be square root): [tex]\sqrt{16^{3} }[/tex]
And there's your answer!
