Question

Hi need help on writing this as an exponential expression
`\sqrt{ {n}^(3) } {p}^(4)`

Answer 1

- The solution steps are given below:

`\begin{gathered} √(n^3p^4) \\ \\ \text{ The whole square root means raising to the power of half.} \\ \text{ Thus, we have:} \\ √(n^3p^4)=(n^3p^4)^{(1)/(2)} \\ \\ \text{ Simplifying, we have:} \\ =(n^{3*(1)/(2)})(p^{4*(1)/(2)}) \\ \\ =n^{(3)/(2)}p^2 \end{gathered}`

Final Answer

The answer is

`n^{(3)/(2)}p^2`