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((n^(3))/(4n))^(3//2)

(n34n)34  \left(\frac{n^{3}}{4 n}\right)^\frac{3}{4 }\

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Full solution

Q. (n34n)34  \left(\frac{n^{3}}{4 n}\right)^\frac{3}{4 }\
  1. Simplify base expression: Simplify the base expression.\newline(n34n)=n34n=n3−14=n24\left(\frac{n^3}{4n}\right) = \frac{n^3}{4n} = \frac{n^{3-1}}{4} = \frac{n^2}{4}
  2. Apply power to expression: Apply the power (3/2)(3/2) to the simplified expression.(n2/4)(3/2)=(n2)(3/2)/(4)(3/2)(n^2/4)^{(3/2)} = (n^2)^{(3/2)} / (4)^{(3/2)} =n(2∗3/2)/4(3/2)= n^{(2*3/2)} / 4^{(3/2)} =n3/8= n^3 / 8

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