Answer: [tex]=2\sqrt{2}[/tex]
Step-by-step explanation:
Given:
[tex]2^\frac{3}{2}[/tex]
You need to remember that:
[tex]a^\frac{m}{n}=\sqrt[n]{a^m}[/tex]
Therefore, you can rewrite it in this form:
[tex]=\sqrt{2^3}[/tex]
According to the Product of powers property:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Then, applying this property, you get:
[tex]=\sqrt{2^2*2}[/tex]
Since [tex]\sqrt[n]{a^n}=a[/tex], you get this result:
[tex]=2\sqrt{2}[/tex]
