\[\frac{32ab}{13c^{3}} \cdot \frac{52bc^{2}}{128a^{3}} \cdot \frac{54a^{2}c}{81b^{3}} =\]
\[= \frac{32 \cdot 52 \cdot 54a^{3}b^{2}c^{3}}{13 \cdot 128 \cdot 81 \cdot a^{3}b^{3}c^{3}} = \frac{2}{3b}\]