#### Answer

$\dfrac{(x^{3})^{1/2}}{x^{7/2}}=\dfrac{1}{x^{2}}$

#### Work Step by Step

$\dfrac{(x^{3})^{1/2}}{x^{7/2}}$
Evaluate the power indicated in the numerator:
$\dfrac{(x^{3})^{1/2}}{x^{7/2}}=\dfrac{x^{3/2}}{x^{7/2}}=...$
Evaluate the division. Give the answer without negative exponents:
$...=x^{3/2-7/2}=x^{-4/2}=x^{-2}=\dfrac{1}{x^{2}}$