tolong pliss,, siapa saja yang bisaa kumohonn​

Berikut ini adalah pertanyaan dari lukeklucky4 pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

Tolong pliss,, siapa saja yang bisaa kumohonn​
tolong pliss,, siapa saja yang bisaa kumohonn​

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Nomor 1a

 {5}^{ - 4} \times {5}^{5} \div {5}^{ - 2} \\ = {5}^{ - 4 + 5 - ( - 2)} \\ = {5}^{ - 4 + 5 + 2} \\ = {5}^{3} \\ = 5 \times 5 \times 5 \\ = 25 \times 5 \\ = 125

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Nomor 1b

 {( - 4)}^{ - 3} \div {( - 4)}^{ - 6} \\ = {( - 4)}^{ - 3 - ( -6)} \\ = {( - 4)}^{ - 3 + 6} \\ = {( - 4)}^{3} \\ = ( - 4) \times ( - 4) \times ( - 4) \\ = 16 \times ( - 4) \\ = - 64

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Nomor 1c

 \left( \frac{3}{2} \right)^{ - 3} \\ \\ = \frac{ {3}^{ - 3} }{ {2}^{ - 3} } \\ \\ = \frac{ \frac{1}{ {3}^{3} } }{ \frac{1}{ {2}^{3} } } \\ \\ = \frac{ \frac{1}{27} }{ \frac{1}{8} } \\ \\ = \frac{8}{27}

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Nomor 1d

{( - 3)}^{ - 4} \times ( { - 3)}^{7} \\ = {( - 3)}^{ - 4 + 7} \\ = {( - 3)}^{3} \\ = ( - 3) \times ( - 3) \times ( - 3) \\ = 9 \times ( - 3) \\ = - 27

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Nomor 1e

 \left( \frac{4}{5} \right)^{ - 3} \times \left( \frac{5}{4} \right)^{ - 4} \\ \\ = \frac{ {4}^{ - 3} }{ {5}^{ - 3} } \times \frac{ {5}^{ - 4} }{ {4}^{ - 4} } \\ \\ = {4}^{ - 3 - ( - 4)} \times {5}^{ - 4 - ( - 3)} \\ \\ = {4}^{ - 3 + 4} \times {5}^{ - 4 + 3} \\ \\ = {4}^{1} \times {5}^{ - 1} \\ \\ = 4 \times \frac{1}{5} \\ \\ = \frac{4}{5}

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Nomor 1f

 {4}^{ - 3} \div {2}^{ - 3} \\ = { ({2}^{2}) }^{ - 3} \div {2}^{ - 3} \\ = {2}^{ - 6} \div {2}^{ - 3} \\ = {2}^{ - 6 - ( - 3)} \\ = {2}^{ - 6 + 3} \\ = {2}^{ - 3} \\ = \frac{1}{ {2}^{3} } \\ = \frac{1}{8}

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Nomor 1g

( {( { {5}^{ - 1} )}^{ - 2} )}^{ - 1} \\ = {( {5}^{2} )}^{ - 1} \\ = {5}^{ - 2} \\ = \frac{1}{ {5}^{2} } \\ = \frac{1}{25}

Nomor 1a[tex] {5}^{ - 4} \times {5}^{5} \div {5}^{ - 2} \\ = {5}^{ - 4 + 5 - ( - 2)} \\ = {5}^{ - 4 + 5 + 2} \\ = {5}^{3} \\ = 5 \times 5 \times 5 \\ = 25 \times 5 \\ = 125[/tex][tex] \\ [/tex]Nomor 1b[tex] {( - 4)}^{ - 3} \div {( - 4)}^{ - 6} \\ = {( - 4)}^{ - 3 - ( -6)} \\ = {( - 4)}^{ - 3 + 6} \\ = {( - 4)}^{3} \\ = ( - 4) \times ( - 4) \times ( - 4) \\ = 16 \times ( - 4) \\ = - 64[/tex][tex] \\ [/tex]Nomor 1c[tex] \left( \frac{3}{2} \right)^{ - 3} \\ \\ = \frac{ {3}^{ - 3} }{ {2}^{ - 3} } \\ \\ = \frac{ \frac{1}{ {3}^{3} } }{ \frac{1}{ {2}^{3} } } \\ \\ = \frac{ \frac{1}{27} }{ \frac{1}{8} } \\ \\ = \frac{8}{27} [/tex][tex] \\ [/tex]Nomor 1d[tex]{( - 3)}^{ - 4} \times ( { - 3)}^{7} \\ = {( - 3)}^{ - 4 + 7} \\ = {( - 3)}^{3} \\ = ( - 3) \times ( - 3) \times ( - 3) \\ = 9 \times ( - 3) \\ = - 27[/tex][tex] \\ [/tex]Nomor 1e[tex] \left( \frac{4}{5} \right)^{ - 3} \times \left( \frac{5}{4} \right)^{ - 4} \\ \\ = \frac{ {4}^{ - 3} }{ {5}^{ - 3} } \times \frac{ {5}^{ - 4} }{ {4}^{ - 4} } \\ \\ = {4}^{ - 3 - ( - 4)} \times {5}^{ - 4 - ( - 3)} \\ \\ = {4}^{ - 3 + 4} \times {5}^{ - 4 + 3} \\ \\ = {4}^{1} \times {5}^{ - 1} \\ \\ = 4 \times \frac{1}{5} \\ \\ = \frac{4}{5} [/tex][tex] \\ [/tex]Nomor 1f[tex] {4}^{ - 3} \div {2}^{ - 3} \\ = { ({2}^{2}) }^{ - 3} \div {2}^{ - 3} \\ = {2}^{ - 6} \div {2}^{ - 3} \\ = {2}^{ - 6 - ( - 3)} \\ = {2}^{ - 6 + 3} \\ = {2}^{ - 3} \\ = \frac{1}{ {2}^{3} } \\ = \frac{1}{8} [/tex][tex] \\ [/tex]Nomor 1g[tex]( {( { {5}^{ - 1} )}^{ - 2} )}^{ - 1} \\ = {( {5}^{2} )}^{ - 1} \\ = {5}^{ - 2} \\ = \frac{1}{ {5}^{2} } \\ = \frac{1}{25} [/tex]

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Last Update: Mon, 17 Oct 22