Answer:
[tex]x\sqrt{x}[/tex]
Step-by-step explanation:
Given:
The given expression is.
[tex]x^{\frac{3}{2}}[/tex]
Now, we need to write the given expression in radical form.
Solution:
First, we can rewrite the term as:
[tex]x^{3\times \frac{1}{2}[/tex]
Now, we can use this rule of exponents to rewrite the term again:
[tex]x^{a\times b} = (x^{a})^{b}[/tex]
[tex]x^{3\times \frac{1}{2}} = (x^{3})^{\frac{1}{2}}[/tex]
Now, we can use this rule to write the term as an radical:
[tex]x^{\frac{1}{n}} = \sqrt[n]{x}[/tex]
[tex](x^{3})^{\frac{1}{2}} = \sqrt[2]{x^{3}}[/tex]
[tex](x^{3})^{\frac{1}{2}} = x\sqrt{x}[/tex]
Therefore, the redical form of the given expression is [tex]x\sqrt{x}[/tex]
