Verified Answer :

\(a^\frac{m}{n}}=\sqrt[n]{a^m}\\\\3^\frac{3}{2}=\sqrt{3^3}=\boxed{\sqrt{27}}\)

Answer:

Hence, square root of 27 is the answer.

Step-by-step explanation:

We are asked to find the value of the maths problem

what is 3 to the power of 3 over 2 equal to?

i.e. we are asked to find the value of:

\(3^{\frac{3}{2} }\)

We know that any number of the type \(a^{\frac{m}{n}}\) could also be represented as:

\(\sqrt[n]{a^{m}}\)

Hence, \(3^{\frac{3}{2} }\) could also be represented as:

\(\sqrt[2]{3^{3}}\)

and the value of \(\sqrt[2]{3^{3}}\) is:

\(\sqrt[2]{27}=\sqrt{27}\)

Hence, square root of 27 is the answer.