Step-by-step explanation:
[tex] \bigg(\frac{16}{9x^4}\bigg)^{(-\frac {3}{2})} \\\\
=\bigg(\frac{9x^4}{16}\bigg)^{(\frac {3}{2})} \\\\
=\bigg(\frac{(3x^2)^2}{4^2}\bigg)^{(\frac {3}{2})} \\\\
=\bigg(\frac{(3x^2)^{2\times\frac {3}{2} } }{4^{2\times\frac {3}{2}} }\bigg) \\\\
=\bigg(\frac{(3x^2)^{3}}{4^{3} }\bigg) \\\\
=\bigg(\frac{27x^{6}}{64}\bigg) \\\\
[/tex]
