Question

What is 3 3/2 equal to?

∛9
²√9
³√27
²√27

Answer 1

`{3}^{ (3)/(2) } = \sqrt[2]{27}`

Explanation:

The given expresion is:

`{3}^{ (3)/(2) }`

Recall the following property:

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

We compare

`{3}^{ (3)/(2) }`

to

`{a}^{ (m)/(n) }`

We obtain a=3, m=3 and n=2

When we plug these values into the above property, we get:

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

We simplify this to get:

`{3}^{ (3)/(2) } = \sqrt[2]{27}`

or simply:

`{3}^{ (3)/(2) } = √(27)`