Tolong bantu di jawab ya kak

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

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Nomor 1a

${2}^{4} \times {2}^{7}$

$= {2}^{4 + 7}$

$= {2}^{11}$

$\small{ = \underline{2 \times 2} \times \underline{2 \times 2} \times \underline{2 \times 2 }\times \underline{2 \times 2} \times \underline{2 \times 2} \times 2}$

$= \underline{4 \times 4 }\times \underline{4 \times 4} \times \underline{4 \times 2}$

$= \underline{16 \times 16 }\times 8$

$= 256 \times 8$

$= 2.048$

$\\$

Nomor 1b

${3}^{3} \times {3}^{5}$

$= {3}^{3 + 5}$

$= {3}^{8}$

$= \underline{3 \times 3} \times \underline{3 \times 3} \times \underline{ 3 \times 3} \times \underline{3 \times 3}$

$= \underline{9 \times 9 }\times \underline{ 9 \times 9}$

$= 81 \times 81$

$= 6.561$

$\\$

Nomor 1c

$( {2}^{5} \times {5}^{5} )$

$= ( {2 \times 5)}^{5}$

$= {10}^{5}$

$= 100.000$

$\\$

Nomor 1d

$( {7}^{3} \times {2}^{3})$

$= ( {7 \times 2)}^{3}$

$= {14}^{3}$

$= \underline{14 \times 14 }\times 14$

$= 196 \times 14$

$= 2.744$

$\\$

Nomor 1e

${6}^{4} \div {2}^{4}$

$= {(6 \div 2)}^{4}$

$= {3}^{4}$

$= \underline{3 \times 3} \times \underline{3 \times 3}$

$= 9 \times 9$

$= 81$

$\\$

Nomor 1f

${8}^{3} \div {2}^{5}$

$= \small( \underline{8 \times 8 }\times 8) \div ( \underline{2 \times 2} \times \underline{ 2 \times 2 }\times 2)$

$= (64 \times 8) \div ( \underline{4 \times 4 }\times 2)$

$= 512 \div (16 \times 2)$

$= 512 \div 32$

$= 16$

Nomor 1g

${3}^{3} \div {3}^{ - 3}$

$= {3}^{3 - ( - 3)}$

$= {3}^{3 + 3}$

$= {3}^{6}$

$= \underline{3 \times3 }\times \underline{3 \times 3 }\times \underline{3 \times 3}$

$= \underline{ 9 \times 9} \times 9$

$= 81 \times 9$

$= 729$

$\\$

Nomor 1h

${5}^{ - 2} \div {5}^{ - 4}$

$= {5}^{ - 2 - ( - 4)}$

$= {5}^{ - 2 + 4}$

$= {5}^{2}$

$=5 \times 5$

$= 25$

$\\$

Nomor 1i

${4}^{3} \div {4}^{ - 5}$

$= {4}^{3 - ( - 5)}$

$= {4}^{3 + 5}$

$= {4}^{8}$

$= \underline{ 4 \times 4} \times \underline{ 4 \times 4 }\times \underline{ 4 \times 4} \times \underline{4 \times 4}$

$= \underline{16 \times 16} \times \underline{ 16 \times 16}$

$= 256 \times 256$

$= 65.536$

$\\$

Nomor 1j

${11}^{ - 3} \div {11}^{ - 4}$

$= {11}^{ - 3 - ( - 4)}$

$= {11}^{ - 3 + 4}$

$= {11}^{1}$

$= 11$

$\\$

Nomor 1k

${6}^{ - 6} \times {6}^{5}$

$= {6}^{ - 6 + 5}$

$= {6}^{ - 1}$

$= \frac{1}{6}$

$\\$

Nomor 1 $\ell$

${6}^{ - 5} \times {6}^{6}$

$= {6}^{ - 5 + 6}$

$= {6}^{1}$

$= 6$

$\\$

Nomor 1m

${ {(10}^{3}) }^{2}$

$= {10}^{6}$

$= 1.000.000$

$\\$

Nomor 1n

${({11}^{2})}^{2}$

$= {11}^{4}$

$= \underline{11 \times 11 }\times \underline{11 \times 11}$

$= 121 \times 121$

$= 14.641$

$\\$

Nomor 1o

${ {(4}^{5})}^{2}$

$= {4}^{10}$

$\small{ = \underline{4 \times 4} \times \underline{ 4 \times 4} \times \underline{4 \times 4} \times \underline{ 4 \times 4} \times \underline{ 4 \times 4}}$

$= \underline{16 \times16 }\times \underline{16 \times 16} \times 16$

$= \underline{ 256 \times 256} \times 16$

$= 65.536 \times 16$

$= 1.048.576$

$Nomor 1a[tex] {2}^{4} \times {2}^{7} [/tex][tex] = {2}^{4 + 7} [/tex][tex] = {2}^{11} [/tex][tex] \small{ = \underline{2 \times 2} \times \underline{2 \times 2} \times \underline{2 \times 2 }\times \underline{2 \times 2} \times \underline{2 \times 2} \times 2}[/tex][tex] = \underline{4 \times 4 }\times \underline{4 \times 4} \times \underline{4 \times 2}[/tex][tex] = \underline{16 \times 16 }\times 8[/tex][tex] = 256 \times 8[/tex][tex] = 2.048[/tex][tex] \\ [/tex]Nomor 1b[tex] {3}^{3} \times {3}^{5} [/tex][tex] = {3}^{3 + 5} [/tex][tex] = {3}^{8} [/tex][tex] = \underline{3 \times 3} \times \underline{3 \times 3} \times \underline{ 3 \times 3} \times \underline{3 \times 3}[/tex][tex] = \underline{9 \times 9 }\times \underline{ 9 \times 9}[/tex][tex] = 81 \times 81[/tex][tex] = 6.561[/tex][tex] \\ [/tex]Nomor 1c[tex]( {2}^{5} \times {5}^{5} )[/tex][tex] = ( {2 \times 5)}^{5} [/tex][tex] = {10}^{5} [/tex][tex] = 100.000[/tex][tex] \\ [/tex]Nomor 1d[tex]( {7}^{3} \times {2}^{3})[/tex][tex] = ( {7 \times 2)}^{3} [/tex][tex] = {14}^{3} [/tex][tex] = \underline{14 \times 14 }\times 14[/tex][tex] = 196 \times 14[/tex][tex] = 2.744[/tex][tex] \\ [/tex]Nomor 1e[tex] {6}^{4} \div {2}^{4} [/tex][tex] = {(6 \div 2)}^{4} [/tex][tex] = {3}^{4} [/tex][tex] = \underline{3 \times 3} \times \underline{3 \times 3}[/tex][tex] = 9 \times 9[/tex][tex] = 81[/tex][tex] \\ [/tex]Nomor 1f[tex] {8}^{3} \div {2}^{5} [/tex][tex] = \small( \underline{8 \times 8 }\times 8) \div ( \underline{2 \times 2} \times \underline{ 2 \times 2 }\times 2)[/tex][tex] = (64 \times 8) \div ( \underline{4 \times 4 }\times 2)[/tex][tex] = 512 \div (16 \times 2)[/tex][tex] = 512 \div 32[/tex][tex] = 16[/tex]Nomor 1g[tex] {3}^{3} \div {3}^{ - 3} [/tex][tex] = {3}^{3 - ( - 3)} [/tex][tex] = {3}^{3 + 3} [/tex][tex] = {3}^{6} [/tex][tex] = \underline{3 \times3 }\times \underline{3 \times 3 }\times \underline{3 \times 3}[/tex][tex] = \underline{ 9 \times 9} \times 9[/tex][tex] = 81 \times 9[/tex][tex] = 729[/tex][tex] \\ [/tex]Nomor 1h[tex] {5}^{ - 2} \div {5}^{ - 4} [/tex][tex] = {5}^{ - 2 - ( - 4)} [/tex][tex] = {5}^{ - 2 + 4} [/tex][tex] = {5}^{2} [/tex][tex] =5 \times 5[/tex][tex] = 25[/tex][tex] \\ [/tex]Nomor 1i[tex] {4}^{3} \div {4}^{ - 5} [/tex][tex] = {4}^{3 - ( - 5)} [/tex][tex] = {4}^{3 + 5} [/tex][tex] = {4}^{8} [/tex][tex] = \underline{ 4 \times 4} \times \underline{ 4 \times 4 }\times \underline{ 4 \times 4} \times \underline{4 \times 4}[/tex][tex] = \underline{16 \times 16} \times \underline{ 16 \times 16}[/tex][tex] = 256 \times 256[/tex][tex] = 65.536[/tex][tex] \\ [/tex]Nomor 1j[tex] {11}^{ - 3} \div {11}^{ - 4} [/tex][tex] = {11}^{ - 3 - ( - 4)} [/tex][tex] = {11}^{ - 3 + 4} [/tex][tex] = {11}^{1} [/tex][tex] = 11[/tex][tex] \\ [/tex]Nomor 1k[tex] {6}^{ - 6} \times {6}^{5} [/tex][tex] = {6}^{ - 6 + 5} [/tex][tex] = {6}^{ - 1} [/tex][tex] = \frac{1}{6} [/tex][tex] \\ [/tex]Nomor 1[tex]\ell[/tex][tex] {6}^{ - 5} \times {6}^{6} [/tex][tex] = {6}^{ - 5 + 6} [/tex][tex] = {6}^{1} [/tex][tex] = 6[/tex][tex] \\ [/tex]Nomor 1m[tex] { {(10}^{3}) }^{2} [/tex][tex] = {10}^{6} [/tex][tex] = 1.000.000[/tex][tex] \\ [/tex]Nomor 1n[tex] {({11}^{2})}^{2} [/tex][tex] = {11}^{4} [/tex][tex] = \underline{11 \times 11 }\times \underline{11 \times 11}[/tex][tex] = 121 \times 121[/tex][tex] = 14.641[/tex][tex] \\ [/tex]Nomor 1o[tex] { {(4}^{5})}^{2} [/tex][tex] = {4}^{10} [/tex][tex] \small{ = \underline{4 \times 4} \times \underline{ 4 \times 4} \times \underline{4 \times 4} \times \underline{ 4 \times 4} \times \underline{ 4 \times 4}}[/tex][tex] = \underline{16 \times16 }\times \underline{16 \times 16} \times 16[/tex][tex] = \underline{ 256 \times 256} \times 16[/tex][tex] = 65.536 \times 16[/tex][tex] = 1.048.576[/tex]$

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Last Update: Sun, 16 Oct 22

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Tolong bantu di jawab ya kak​

Jawaban dan Penjelasan

Nomor 1a

Nomor 1b

Nomor 1c

Nomor 1d

Nomor 1e

Nomor 1f

Nomor 1g

Nomor 1h

Nomor 1i

Nomor 1j

Nomor 1k

Nomor 1

Nomor 1m

Nomor 1n

Nomor 1o

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Nomor 1 $\ell$