Matematika

Pertanyaan

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1 Jawaban


  • [tex]1. \frac{( {4 {a}^{ - 2} {b}^{4} {c}^{ - 1} ) }^{ \frac{1}{2} } }{ ({8 {a}^{3} {b}^{ - 6} {c}^{ - 2} ) }^{ - \frac{1}{3} } } \\ = \frac{ {4}^{ \frac{1 }{2} }( { {a}^{ - 2})}^{ \frac{1}{2} } {( {b}^{4}) }^{ \frac{1}{2} } {( {c}^{ - 1} )}^{ \frac{1}{2} } }{ {8}^{ - \frac{1}{3} } {( {a}^{3}) }^{ - \frac{1}{3} } ( { {b}^{ - 6}) }^{ - \frac{1}{3} } {( {c}^{ - 2}) }^{ - \frac{1}{3} } } \\ = \frac{ { ({2}^{2}) }^{ \frac{1}{2} } {a}^{ - 1} {b}^{2} {c}^{ - \frac{1}{2} } }{ {( {2}^{3}) }^{ - \frac{1}{3} } {a}^{ - 1} {b}^{2} {c}^{ \frac{2}{3} } } \\ = \frac{2 {a}^{ - 1 - ( - 1)} {b}^{2 - 2} {c}^{ - \frac{1}{2} - \frac{2}{3} } }{ {2}^{ - 1} } \\ = {2}^{1 - ( - 1)} {c}^{ - \frac{5}{6} } \\ = \frac{4}{ {c}^{ \frac{5}{6} } } [/tex]
    [tex]soal \\ = {( {p}^{ - \frac{1}{2} - ( - \frac{1}{3} ) } {q}^{ \frac{3}{4} - \frac{1}{4} } {r}^{ - \frac{1}{3} - ( - \frac{5}{3}) } )}^{6} \\ = {( {p}^{ - \frac{1}{6} } {q}^{ \frac{1}{2} } {r }^{ \frac{4}{3} } )}^{6} \\ = {p}^{ - 1} {q}^{3} {r}^{8}[/tex]