27^1/3×32^1/5:(2^-1)^2

[tex] = \frac{ {27}^{ \frac{1}{3} } {32} {}^{ \frac{1}{5} } }{(2 {}^{ - 1} ) {}^{2} } \\ = \frac{(3 {}^{3}) {}^{ \frac{1}{3} } \times (2 {}^{5} ) {}^{ \frac{1}{5} } }{ {2}^{ - 1 \times 2} } \\ = \frac{3 {}^{3 \times \frac{1}{3} } \times 2 {}^{5 \times \frac{1}{5} } }{ {2}^{ - 2} } \\ = \frac{3 \times 2}{ - 4} \\ = \frac{6}{4} \\ = 1.5[/tex]