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

Answer 2

Hence, square root of 27 is the answer.

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^{(3)/(2) }`

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

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

Hence,
`3^{(3)/(2) }` could also be represented as:

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

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

`\sqrt[2]{27}=√(27)`

Hence, square root of 27 is the answer.