Complex Algebraic Approximation

If $x$ be so small that its square and higher powers may be neglected, find the value of $\frac{{\left(1+\frac{2}{3}x\right)}^{-5}\times (4+3x{)}^{\frac{1}{2}}}{(4+x{)}^{\frac{3}{2}}}$.

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.b, No. 30