4.Evaluate
(i) \(\frac { { 8 }^{ -1 }\times { 5 }^{ 3 } }{ { 2 }^{ -4 } } \)

(ii) \((5^{-1} \times 2^{-1}) \times 6^{-1}\)

(i)We have:\(\frac { { 8 }^{ -1 }\times { 5 }^{ 3 } }{ { 2 }^{ -4 } } \)

\(=\frac{8^{-1}\times 5^3}{2^{-4}}=\frac{1}8\times 5^3\times 2^4\)

\(=\frac{1}8\times125\times 16=125\times 2=250\)

(ii)We have:\((5^{-1} \times 2^{-1}) \times 6^{-1}\)

\(=(\frac{1}5\times\frac{1}2)\times\frac{1}6\)

\(=\frac{1}{10}\times\frac{1}6=\frac{1}{60}\)