Matematika Sekolah Menengah Pertama Bantuin dong kak, ga paham bgt ​

Bantuin dong kak, ga paham bgt ​

Jawaban:

[tex]1. \: \frac{8 {y}^{6} }{ {x}^{12} } [/tex]

[tex]2. \: \frac{27 {b}^{3} }{ {a}^{6} {c}^{12} } [/tex]

[tex]3. \: \frac{2y {z}^{3} }{x} [/tex]

Penjelasan dengan langkah-langkah:

[tex]1. \: {(2 {x}^{ - 3} {y}^{2} {x}^{ - 1} )}^{3} = { (\frac{2 {y}^{2} }{ {x}^{3} {x}^{1} } ) }^{2} = {( \frac{2 {y}^{2} }{ {x}^{4} } )}^{3} = \frac{ {2}^{3} { {y}^{2} }^{3} }{ {x}^{ {4}^{3} } } = \frac{8 {y}^{6} }{ {x}^{12} } [/tex]

[tex]2. \: ( { \frac{3 {a}^{ - 2} b}{ {c}^{4} }) }^{3} = ( { \frac{3b}{ {a}^{2} {c}^{4} } )}^{3} = \frac{ {3}^{3} {b}^{3} }{ {a}^{2^{3} } {c}^{ {4}^{3} } } = \frac{27 {b}^{3} }{ {a}^{6} {c}^{12} } [/tex]

[tex]3. \: \frac{2 {x}^{5} {y}^{4} {z}^{6} }{ ({{x}^{2}y})^{3} } = \frac{2 {x}^{5} {y}^{4} {z}^{6} }{ {x}^{6} {y}^{3} } = 2 {x}^{5 - 6} {y}^{4 - 3} {z}^{6} = {2x }^{ - 1} {y}^{1} {z}^{3} = \frac{2y {z}^{3} }{x} [/tex]

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