Tolong bantu di jawab ya kak​

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

Tolong bantu di jawab ya kak​
Tolong bantu di jawab ya kak​

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