Question

Rewrite " alt="\sqrt{n^{3}p^{4} }" align="absmiddle" class="latex-formula"> as an exponential expression

Answer 1

Answer:

${n}^{1\frac{1}{2}}{p}^{2}$

Step-by-step explanation:

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

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

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:

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

* 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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Answer 2

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.