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hi need help on writing this as an exponential expression [tex] \sqrt{ {n}^{3} } {p}^{4} [/tex]

Sagot :

Solution

- The solution steps are given below:

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

Final Answer

The answer is

[tex]n^{\frac{3}{2}}p^2[/tex]

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