Q. 164 - Intermediate Algebra

Question

Explain why the expression ${(-16)}^{\frac{3}{2}}$ cannot be evaluated.

Step-by-Step Solution

Answer

The expression ${(-16)}^{\frac{3}{2}}$ cannot be evaluated because it is not a perfect square. Negative number inside the radical is imaginary.

Step 1. Given Information

 We are given an expression ${(-16)}^{\frac{3}{2}}$.

Step 2. Explanation

The expression ${(-16)}^{\frac{3}{2}}$  cannot be evaluated because it is not a perfect square.

${(-16)}^{\frac{3}{2}}=\sqrt[]{(-16)3}$ 

Negative number inside the radical is not possible.