Matematika Sekolah Dasar Q.

14² = ???

Agak mengbaffer T^T​

Q.

14² = ???

Agak mengbaffer T^T​

Hasil dari 14² adalah 196

» Pendahuluan

Bilangan berpangkat

Bilangan berpangkat adalah perkalian yang berulang - ulang. Bilangan ini dikalikan sama dengan banyak pangkatnya. Bilangan berpangkat mempunyai nama lain yaitu Eksponen. Fungsi Bilangan Berpangkat adalah untuk menyederhanakan penulisan dan penyebut suatu bilangan.

ෆ Bentuk umum :

aⁿ = a × a × a × ... × a × a × a

{ a dikali sebanyak n }

ෆ Keterangan :

a = Baris

n = pangkat

» Contoh Bilangan berpangkat

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

11² = 121

12² = 144

13² = 169

14² = 196

15² = 225

16² = 256

17² = 289

18² = 324

19² = 361

20² = 400

21² = 441

22² = 484

23² = 529

24² = 576

25² = 625

26² = 676

27² = 729

28² = 784

29² = 841

30² = 900

31² = 961

32² = 1.024

33² = 1.089

34² = 1.156

35² = 1.225

36² = 1.296

37² = 1.369

38² = 1.444

39² = 1.521

40² = 1.600

41² = 1.681

42² = 1.764

43² = 1.849

44² = 1.936

45² = 2.025

46² = 2.116

47² = 2.209

48² = 2.304

49² = 2.401

50² = 2.500

51² = 2.601

52² = 2.704

53² = 2.809

54² = 2.916

55² = 3.025

56² = 3.136

57² = 3.249

58² = 3.364

59² = 3.481

60² = 3.600

61² = 3.721

62² = 3.844

63² = 3.969

64² = 4.096

65² = 4.225

66² = 4.356

67² = 4.489

68² = 4.624

69² = 4.761

70² = 4.900

71² = 5.041

72² = 5.184

73² = 5.329

74² = 5.476

75² = 5.625

76² = 5.776

77² = 5.929

78² = 6.084

79² = 6.241

80² = 6.400

81² = 6.561

82² = 6.724

83² = 6.889

84² = 7.056

85² = 7.225

86² = 7.396

87² = 7.569

88² = 7.744

89² = 7.921

90² = 8.100

91² = 8.281

92² = 8.464

93² = 8.649

94² = 8.836

95² = 9.025

96² = 9.216

97² = 9.409

98² = 9.604

99² = 9.801

100² = 10.000

» Contoh Perpangkatan

» Pangkat 2 :

1² = 1 × 1 = 1

2² = 2 × 2 = 4

3² = 3 × 3 = 9

4² = 4 × 4 = 16

5² = 5 × 5 = 25

6² = 6 × 6 = 36

7² = 7 × 7 = 49

8² = 8 × 8 = 64

9² = 9 × 9 = 81

10² = 10 × 10 = 100

11² = 11 × 11 = 121

12² = 12 × 12 = 144

13² = 13 × 13 = 169

14² = 14 × 14 = 196

15² = 15 × 15 = 225

» pangkat 3 :

1³ = 1 × 1 × 1 = 1

2³ = 2 × 2 × 2 = 8

3³ = 3 × 3 × 3 = 27

4³ = 4 × 4 × 4 = 64

5³ = 5 × 5 × 5 = 125

6³ = 6 × 6 × 6 = 216

7³ = 7 × 7 × 7 = 343

8³ = 8 × 8 × 8 = 512

9³ = 9 × 9 × 9 = 729

10³ = 10 × 10 × 10 = 1.000

11³ = 11 × 11 × 11 = 1.331

12³ = 12 × 12 × 12 = 1.728

13³ = 13 × 13 × 13 = 2.197

14³ = 14 × 14 × 14 = 2.744

15³ = 15 × 15 × 15 × 15 = 3.375

» pangkat 4 :

1⁴ = 1 × 1 × 1 × 1 = 1

2⁴ = 2 × 2 × 2 × 2 = 16

3⁴ = 3 × 3 × 3 × 3 = 81

4⁴ = 4 × 4 × 4 × 4 = 256

5⁴ = 5 × 5 × 5 × 5 = 625

6⁴ = 6 × 6 × 6 × 6 = 1.296

7⁴ = 7 × 7 × 7 × 7 = 2.401

8⁴ = 8 × 8 × 8 × 8 = 4.096

9⁴ = 9 × 9 × 9 × 9 = = 6.561

10⁴ = 10 × 10 × 10 × 10 = 10.000

11⁴ = 11 × 11 × 11 × 11 = 14.641

12⁴ = 12 × 12 × 12 × 12 = 20.736

13⁴ = 13 × 13 × 13 × 13 = 28.561

14⁴ = 14 × 14 × 14 × 14 = 38.416

15⁴ = 15 × 15 × 15 × 15 = 50.625

» pangkat 5 :

1⁵ = 1 × 1 × 1 × 1 × 1 = 1

2⁵ = 2 × 2 × 2 × 2 × 2 = 32

3⁵ = 3 × 3 × 3 × 3 × 3 = 243

4⁵ = 4 × 4 × 4 × 4 × 4 = 1.024

5⁵ = 5 × 5 × 5 × 5 × 5 = 3.125

6⁵ = 6 × 6 × 6 × 6 × 6 = 7.776

7⁵ = 7 × 7 × 7 × 7 × 7 = 16.807

8⁵ = 8 × 8 × 8 × 8 × 8 = 32.768

9⁵ = 9 × 9 × 9 × 9 × 9 = 59.049

10⁵ = 10 × 10 × 10 × 10 × 10 = 100.000

11⁵ = 11 × 11 × 11 × 11 × 11 = 161.51

12⁵ = 12 × 12 × 12 × 12 × 12 = 248.832

13⁵ = 13 × 13 × 13 × 13 × 13 = 31.293

14⁵ = 14 × 14 × 14 × 14 × 14 = 537.824

15⁵ = 15 × 15 × 15 × 15 × 15 = 759.375

» Pembahasan

Di Ketahui :

14² = ....

Di Tanya :

Berapa Hasilnya...??

Di Jawab :

14² =

= 14²

= 14 × 14

= 196

Kesimpulan :

  • Jadi, hasil dari 14² adalah 196

» Pelajari lebih lanjut

  • https://brainly.co.id/tugas/47014842
  • https://brainly.co.id/tugas/24465374
  • https://brainly.co.id/tugas/23381876

» Detail jawaban :

  • ❐ Kelas : IX - 9
  • ❐ Tingkat : SMP
  • ❐ Kode kategorisasi : 9.2.1
  • ❐ Mapel : Matematika
  • ❐ Materi : Perpangkatan/Eksponen
  • ❐ Kata kunci : Hasil dari 14²

[tex]..[/tex]

[tex]{ \huge{\mathcal\color{purple}{{\pink{\underline{\red{\underline{\tt\color{violet}{p{\tt\color{skyblue}{e{\tt\color{violet}{m{\tt\color{skyblue}{b{\tt\color{violet}{a{\tt\color{skyblue} {h{\tt\color{violet}{a{\tt\color{skyblue} {s{\tt\color{violet}{a{\tt\color{skyblue}{n{\tt\color{violet}{ {\tt\color{skyblue}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}[/tex]

[tex] \\ [/tex]

1. Bilangan Berpangkat.

[tex] \\ [/tex]

Bilangan Pangkat n merupakan bilangan hasil kali

bilangan yang sama sebanyak n kali. Bilangan Pangkat dua merupakan perkalian bilangan yang sama sebanyak dua kali.

Bilangan Pangkat 3 merupakan perkalian bilangan yang sama sebanyak tiga kali.

Contoh :

  • ➪ 3 × 3 = 3²
  • ➪ 2 × 2 × 2 = 2³

[tex] \\ [/tex]

Hasil pangkat dua suatu bilangan disebut Bilangan Kuadrat.

Hasil pangkat tiga suatu bilangan disebut Bilangan Kubik.

[tex] \\ [/tex]

  • Aturan pengerjaan operasi hitung bilangan berpangkat adalah sebagai berikut.

[tex] \\ [/tex]

▪︎Jika bilangan yang dipangkatkan berada di dalam tanda kurung, kerjakan lebih dahulu operasi hitung di dalam tanda kurung sebelum di pangkatkan.

▪︎Bilangan Pangkat yang di kali atau dibagi dapat dikerjakan sebelum atau sesudah perkalian atau pembagian jika berpangkat sama.

[tex] \\ [/tex]

2. Sifat sifat Bilangan Berpangkat atau eksponen .

[tex] \\ [/tex]

[tex]\begin{gathered} \boxed{\begin{array}{cc}\underline{\bold{Sifaf-sifat \: Eksponen}}\\\\\ {a}^{m} \: \times \: {a}^{n} \: = \: {a}^{(m \: + \: n)} \\\\ \: {a}^{m} \: \div \: {a}^{n} \: = \: {a}^{(m \: - \: n)} \\\\ \: ( {a}^{m}) {}^{n} \: = \: {a}^{m \: \times \: n} \\\\ \: {(a \: \times \: b)}^{n} \: = \: {a}^{n} \: \times \: {b}^{n} \\\\ \: \sqrt[n]{ {a}^{m} } \: = \: {a}^{ \frac{m}{n} } \\\\ \: ( \frac{a}{b}) {}^{n} \: = \: \frac{ {a}^{n} }{ {b}^{n} } \\\\ \: {a}^{ - n} \: = \: \frac{1}{ {a}^{n} }\\\\ \: {a}^{0} \: = \: 1 \end{array}}\end{gathered}[/tex]

[tex] \\ [/tex]

3. Contoh Bilangan Berpangkat.

[tex] \\ [/tex]

= 1² = 1 × 1 = 2

= 2² = 2 × 2 = 4

= 3² = 3 × 3 = 9

= 4² = 4 × 4 = 16

= 5² = 5 × 5 = 25

= 6² = 6 × 6 = 36

= 7² = 7 × 7 = 49

= 8² = 8 × 8 = 64

= 9² = 9 × 9 = 81

= 10² = 10 × 10 = 100

[tex] \\ [/tex]

= 1³ = 1 × 1 × 1 = 1

= 2³ = 2 × 2 × 2 = 8

= 3³ = 3 × 3 × 3 = 27

= 4³ = 4 × 4 × 4 = 64

= 5³ = 5 × 5 × 5 = 125

= 6³ = 6 × 6 × 6 = 216

= 7³ = 7 × 7 × 7 =343

= 8³ = 8 × 8 × 8 = 512

= 9³ = 9 × 9 × 9 = 729

= 10 = 10 × 10 × 10 = 1.000

[tex] \\ [/tex]

= 1⁴ = 1 × 1 × 1 × 1 = 1

= 2⁴ = 2 × 2 × 2 × 2 = 16

= 3⁴ = 3 × 3 × 3 × 3 = 81

= 4⁴ = 4 × 4 × 4 × 4 = 256

= 5⁴ = 5 × 5 × 5 × 5 = 625

= 6⁴ = 6 × 6 × 6 × 6 = 648

= 7⁴ = 7 × 7 × 7 × 7 = 2.401

= 8⁴ = 8 × 8 × 8 × 8 = 4.096

= 9⁴ = 9 × 9 × 9 × 9 = 6.561

= 10⁴ = 10 × 10 × 10 × 10 = 10.000

[tex] \\ [/tex]

-----------------------------------------------------------

[tex] \\ [/tex]

[tex]{ \huge{\mathcal\color{purple}{{\pink{\underline{\red{\underline{\tt\color{violet}{p{\tt\color{skyblue}{e{\tt\color{violet}{n{\tt\color{skyblue}{y{\tt\color{violet}{e{\tt\color{skyblue} {l{\tt\color{violet}{e{\tt\color{skyblue} {s{\tt\color{violet}{a{\tt\color{skyblue}{i{\tt\color{violet}{a{ \tt \color{skyblue}{ {\tt\color{skyblue}{n{ \tt \color{violet}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}[/tex]

[tex] \\ [/tex]

[tex] \sf = 14 \times 14[/tex]

[tex] \sf = 14 +14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14[/tex]

[tex] \sf = 28+ 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14[/tex]

[tex] \sf = 42+ 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14[/tex]

[tex] \sf = 56 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14[/tex]

[tex] \sf = 70 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14[/tex]

[tex] \sf = 84+ 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14[/tex]

[tex] \sf = 98 + 14 + 14 + 14 + 14 + 14 + 14 + 14[/tex]

[tex] \sf = 112+ 14 + 14 + 14 + 14 + 14 + 14[/tex]

[tex] \sf = 126+ 14 + 14 + 14 + 14 + 14[/tex]

[tex] \sf = 140+ 14 + 14 + 14 + 14[/tex]

[tex] \sf = 154 + 14 + 14 + 14[/tex]

[tex] \sf = 168+ 14 + 14[/tex]

[tex] \sf = 182 + 14[/tex]

[tex] \sf = 196[/tex]

[tex] \\ [/tex]

-----------------------------------------------------------

[tex]{ \huge{\mathcal\color{purple}{{\pink{\underline{\red{\underline{\tt\color{violet}{d{\tt\color{skyblue}{e{\tt\color{violet}{t{\tt\color{skyblue}{a{\tt\color{violet}{i{\tt\color{skyblue} {l{\tt\color{violet} \: \: {j{\tt\color{skyblue} {a{\tt\color{violet}{w{\tt\color{skyblue}{a{\tt\color{violet}{ b{\tt\color{skyblue}{a{\tt\color{skyblue}{n{\tt\color{violet}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}[/tex]

[tex] \\ [/tex]

  • ▪︎Mapel : Matematika.
  • ▪︎Kelas : IX.
  • ▪︎Materi : Bilangan Berpangkat.
  • ▪︎Kode Soal : 2.
  • ▪︎Kategorisasi : 9.2.1

-----------------------------------------------------------

[tex] \\ [/tex]

[tex]{\mathcal\color{purple}{{\pink{\underline{\red{\underline{\tt\color{violet}{P{\tt\color{skyblue}{u{\tt\color{violet}{n{\tt\color{skyblue}{y{\tt\color{violet}{a{\tt\color{skyblue} \: {o{\tt\color{violet}{m{\tt\color{skyblue} \: {s{\tt\color{violet}{e{\tt\color{skyblue}{v{\tt\color{violet}{a{\tt\color{skyblue}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}[/tex]

[answer.2.content]