Question

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

Answer 1

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

Answer 2

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.