special BA?
silahkan...
Nomor 4a
[tex] \frac{ {x}^{ \frac{2}{3} } }{ {x}^{ \frac{3}{2} } } \\ \\ = {x}^{ \frac{2}{3} - \frac{3}{2} } \\ \\ = {x}^{ \frac{4 - 9}{6} } \\ \\ = {x}^{ - \frac{5}{6} } \\ \\ = \frac{1}{ {x}^{ \frac{5}{6} } } [/tex]
[tex] \\ [/tex]
Nomor 4b
[tex] { \left( {m}^{ \frac{2}{3} } . {m}^{2} \right)}^{ - \frac{3}{4} } \\ \\ = { \left({m}^{ \frac{2}{3} + 2} \right) }^{ - \frac{3}{4} } \\ \\ = \left( {m}^{ \frac{2 + 6}{3} } \right) ^{ - \frac{3}{4} } \\ \\ = \left( {m}^{ \frac{ \not8 { \: }^{2} }{ \not3} } \right) ^{ - \frac{ \not3}{ \not4} } \\ \\ = {m}^{ - 2} \\ \\ = \frac{1}{ {m}^{2} } [/tex]
[tex] \\ [/tex]
Nomor 4c
[tex] \left( {x}^{ \frac{1}{2} }. {x}^{ - \frac{3}{4} } \right)^{ - 1} \\ \\ = \left( {x}^{ \frac{1}{2} - \frac{3}{4} } \right)^{ - 1} \\ \\ = \left( {x}^{ \frac{2 - 3}{4} } \right)^{ - 1} \\ \\ = \left( {x}^{ - \frac{1}{4} } \right) ^{ - 1} \\ \\ = {x}^{ \frac{1}{4} } [/tex]
Jawaban:
a.
[tex]{x}^{ \frac{5}{6} } [/tex]
b.
[tex] \frac{1}{m} [/tex]
c.
[tex]{x}^{ \frac{1}{4} } [/tex]
Penjelasan dengan langkah-langkah:
a.
[tex] \frac{ {x}^{ - \frac{2}{3} } }{ {x}^{ - \frac{3}{2} } } \\ = {x}^{ - \frac{2}{3} - ( - \frac{3}{2} )} \\ = {x}^{ - \frac{2}{3} + \frac{3}{2} } \\ = {x}^{ \frac{ - 4 + 9}{6} } \\ = {x}^{ \frac{5}{6} } [/tex]
b.
[tex] {( {m}^{ - \frac{2}{3} } . {m}^{2} )}^{ - \frac{3}{4} } \\ = {( {m}^{ - \frac{2}{3} + 2 } )}^{ - \frac{3}{4} } \\ = {( {m}^{ \frac{ - 2 + 6}{3} }) }^{ - \frac{3}{4} } \\ = {( {m}^{ \frac{4}{3} }) }^{ - \frac{3}{4} } \\ = {m}^{ - 1} \\ = \frac{1}{m} [/tex]
c.
[tex] {( {x}^{ \frac{1}{2} }. {x}^{ - \frac{3}{4} }) }^{ - 1} \\ = {( {x}^{ \frac{1}{2} + ( - \frac{3}{4}) } )}^{ - 1} \\ = {( {x}^{ \frac{2 - 3}{4} } )}^{ - 1} \\ = {{(x}^{ - \frac{1}{4} } )}^{ - 1} \\ = {x}^{ \frac{1}{4} } [/tex]
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