$$( \frac { 81 } { 16 } ) ^ { - 3 / 4 } \times ( \frac { 25 } { 9 } ) ^ { - 3 / 2 } \div ( \frac { 5 } { 2 } ) ^ { - 3 } = 1$$
$\text{true}$
$$\frac{\frac{8}{27}\times \left(\frac{25}{9}\right)^{-\frac{3}{2}}}{\left(\frac{5}{2}\right)^{-3}}=1$$
$$\frac{\frac{8}{27}\times \frac{27}{125}}{\left(\frac{5}{2}\right)^{-3}}=1$$
$$\frac{\frac{8}{125}}{\left(\frac{5}{2}\right)^{-3}}=1$$
$$\frac{\frac{8}{125}}{\frac{8}{125}}=1$$
$$1=1$$
$$\text{true}$$
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