tolong bantuannya....
Matematika
zulfa555
Pertanyaan
tolong bantuannya....
1 Jawaban
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1. Jawaban daunbayam
[tex]
1) \: ({ \frac{12 {a}^{4} {b}^{ - 3} }{24 {a}^{7} {b}^{ - 2} } })^{ - 1} ={( ( \frac{12}{24} )( {a}^{4 - 7} )( {b}^{ - 3 - (- 2)} )) }^{ - 1} \\ = {(( \frac{1}{2} )( {a}^{ - 3} )( {b}^{ - 1} ))}^{ - 1} \\ = {( \frac{1}{2} )}^{ - 1} ( { {a}^{ - 3} })^{ - 1} ( { {b}^{ - 1} })^{ - 1} \\ = 2 {a}^{ 3} {b}
[/tex]
[tex]
2) \: ({ \frac{27 {a}^{ - 5} {b}^{ - 3} }{ {3}^{5} {a}^{ - 7} {b}^{ - 5} } })^{ - 1} ={( ( \frac{ {3}^{3} }{ {3}^{5} } )( {a}^{ - 5 -( - 7)} )( {b}^{ - 3 - (- 5)} )) }^{ - 1} \\ = {(( {3}^{3 - 5} )( {a}^{ 2} )( {b}^{ 2} ))}^{ - 1} \\ = {( {3}^{ - 2} )}^{ - 1} ( { {a}^{ 2} })^{ - 1} ( { {b}^{ 2} })^{ - 1} \\ = {3}^{2} {a}^{-2} {b}^{ - 2} \\ = \frac{9}{ {a}^{2} {b}^{2} } \\ = \frac{9}{ {(ab)}^{2} }
[/tex]
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