Question

what is the value of 3 to the power 3/2 ?

Answer 1

(3)^3/2
= (√3)^3
= 3√3

Therefore,
(3)^3/2 = 3√3

Answer 2

Hello

${3}^{ \frac{3}{2} } = \sqrt{ {3}^{3} } = \sqrt{27} = 3 \sqrt{3}$
We changed the exponential form of 3 to its radical form. So we got the above expression.
So,
Now,
$3 \sqrt{3} = 3 \times 1.73 = 5.19(approx.)$
So,
The value is approximately equal to 5.19

Hope this will be helping you