Respuesta :

Answer:

n^3/2 p^2.

Step-by-step explanation:

Note √x = x^1/2 so:

√(n^3p^4)

= (n^3)^1/2 (p^4)^1/2

= n^(3*1/2) p^4 * 1/2)

= n^3/2 p^2.

Answer:

[tex]{n}^{1\frac{1}{2}}{p}^{2}[/tex]

Step-by-step explanation:

According to the Definition of Rational Exponents, use this formula to rewrite this as an exponential expression:

[tex]a^{\frac{m}{n}} = \sqrt[n]{a}^{m}[/tex]

NOTE: Since we have exponents in our radical, we have to multiply all exponents by one-half, since raising something to its half power is the exact same as taking the square root of something:

[tex][{n}^{3}{p}^{4}]^{\frac{1}{2}} = {n}^{1\frac{1}{2}}{p}^{2}[/tex]

* Do not forget to remove the radical in the beginning because you are once again, rewriting this as an exponential expression.

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