Answer:
[tex]9^{\frac{3}{2}}=\sqrt{9^3}=27[/tex]
Step-by-step explanation:
The fractional exponent m/n is often translated to radical form as ...
[tex]x^{\frac{m}{n}}=\sqrt[n]{x^m}[/tex]
In this case, I find it easier to evaluate as ...
[tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m=\boxed{(\sqrt{9})^3=3^3=27}[/tex]
