Question

Evaluate the following expression, if possible. 36^((3)/(2))

Answer 1

216

Explanation:

• The expression in the form
  `a^(b)/(c)` can be rewritten as
  `\sqrt[b]{a^c}`. Given this, the steps to evaluate the expression are as follows:

1. Rewrite the expression in the form
   `\sqrt[b]{a^c}`:
   
   `36^(3)/(2) =\sqrt[2]{36^3}=√(36^3)`
2. Evaluate
   `√(36^3)`:
   
   `√(36^3) =√(36^2*36)\\ =36√(36)\\ =36*6\\=216` The final solution is 216.