bantu kak untuk nomer 4..

sederhanakan
[tex] \frac{a {b}^{ \frac{3}{2} } {c}^{ - \frac{1}{3} } }{ {a}^{ - \frac{1}{2} }b {c}^{ \frac{ - 5}{6} } } [/tex]
[tex] = a. {a}^ { \frac{ - 1}{2} } \times {b}^{ \frac{3}{2}. } . {b}^{ - 1} \times {c}^{ - \frac{1}{3} } . {c}^{ \frac{5}{6} } [/tex]
[tex] = {a}^{(1 + \frac{1}{2}) } \times {b}^{ (\frac{3}{2} - 1)} \times {c}^{( \frac{ - 1}{3} + \frac{5}{6}) } \: [/tex]
[tex] = {a}^{( \frac{2 + 1}{2}) } {b}^{ (\frac{3 - 2}{2}) } {c}^{( \frac{ - 2 + 5}{6} )} [/tex]
[tex] = {a}^{ \frac{3}{2} } {b}^{ \frac{1}{2} } {c}^{ \frac{1}{2} } [/tex]
masukan nilai

[tex] = (16) \frac{3}{2} \times (9) \frac{1}{2} \times (81) \frac{1}{2} [/tex]
[tex] ({ {2}^{4}) }^{ \frac{3}{2} } \times( { {3}^{2} )}^{ \frac{1}{2} } \times ( { {3}^{4} )}^{ \frac{1}{2} } [/tex]
[tex] = {2}^{ \frac{12}{2} } \times {3}^{ \frac{2}{2} } \times {3}^{ \frac{4}{2} } [/tex]
[tex] = {2}^{6} \times 3 \times {3}^{2} [/tex]
[tex] = 64 \times 3 \times 9[/tex]
[tex] = 1728[/tex]