what is 3 to the power of 3 over 2 equal to? (5 points) cube root of 9 square root of 9 cube root of 27 square root of 27
\(a^\frac{m}{n}}=\sqrt[n]{a^m}\\\\3^\frac{3}{2}=\sqrt{3^3}=\boxed{\sqrt{27}}\)
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.