Question

Simplify $9^{\frac{3}{2}}$.

Answer 1

We have to find the value of $9^{\frac{3}{2}}$

We know that 9 can be expressed in the power of 3

$$\begin{gathered} 9=3x3 \\ 9=2 \end{gathered}$$

So, the given number becomes

$9^{3/2}=3^{2(3/2)}=3^3=27$

Hence, the result is $27$