Q. 159 - Intermediate Algebra

Question

Simplify ${\left(\frac{j^{-2}{j}^5}{j^4}\right)}^3$

Step-by-Step Solution

Answer

Simplified expression is $j^{-3}$

Step 1 Given information

Simplify${\left(\frac{j^{-2}{j}^5}{j^4}\right)}^3$

Step 2 Simplification

Here

$$\begin{gathered} {\left(\frac{j^{-2}{j}^5}{j^4}\right)}^3={\left(j^{-2+5-4}\right)}^3 \\ ={\left(j^{-1}\right)}^3 \\ =j^{-1\times 3} \\ =j^{-3} \end{gathered}$$