Perkalian bilangan - bilangan dengan faktor - faktor yang sama disebut perkalian berulang. setiap perkalian berulang dituliskan dengan menggunakan bilangan berpangkat. perkalian bilangan - bilangan berpangkat dapat dituliskan dengan cara :
Contoh :
A × A × A = A³
B × B = B²
C = C¹
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Rumus Bilangan Berpangkat :
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Dimana :
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Contoh :
Contoh Bilangan Berpangkat 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
16² = 16 × 16 = 256
17² = 17 × 17 = 289
18² = 18 × 18 = 324
19² = 19 × 19 = 361
20² = 20 × 20 = 400
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Contoh Bilangan Berpangkat 3 :
1³ = 1 × 1 × 1 = 3
2³ = 2 × 2 × 2 = 9
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 = 3.375
16³ = 16 × 16 × 16 = 4.096
17³ = 17 × 17 × 17 = 4.913
18³ = 18 × 18 × 18 = 5.832
19³ = 19 × 19 × 19 = 6.859
20³ = 20 × 20 × 20 = 8.000
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Berikut adalah Cara Menghitung Bilangan Berpangkat 1, 2, dan 3 :
Bilangan Pangkat 1 :
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Bilangan Pangkat 2 :
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Bilangan Pangkat 3 :
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Cara Menghitung Bilangan 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
16² = 16 × 16 = 256
17² = 17 × 17 = 289
18² = 18 × 18 = 324
19² = 19 × 19 = 361
20² = 20 × 20 = 400
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Cara Menghitung Bilangan Pangkat 3 :
1³ = 1 × 1 × 1 = 3
2³ = 2 × 2 × 2 = 9
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 = 3.375
16³ = 16 × 16 × 16 = 4.096
17³ = 17 × 17 × 17 = 4.913
18³ = 18 × 18 × 18 = 5.832
19³ = 19 × 19 × 19 = 6.859
20³ = 20 × 20 × 20 = 8.000
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Jawab :
1.) 13²
= 13(13)
= 13 × 13
= 169
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2.) 44²
= 44(44)
= 44 × 44
= 1.936
________________________________________
3.) 17³
= 17(17) × 17
= 17 × 17 × 17
= ( 17 × 17 ) × 17
= 289 × 17
= 4.913
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Catatan :
• Utamakan Perkalian dan Pembagian karna sama" kuat ( × ÷ )
• Pengurangan dan Pertambahan di kerjakan di paling bagian terakhir, jika ada operasi Perkalian dan Pembagian ( × ÷ )
• Kenapa harus Perkalian dan Pembagian di dahulukan dari pada Pertambahan dan Pengurangan, karna Perkalian dan Pembagian lebih kuat dari pada, Pertambahan dan Pengurangan ( × ÷ + - )
Jawaban
• 169
• 1.936
• 4.913
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Pembahasan
Perkalian bilangan - bilangan dengan faktor - faktor yang sama disebut perkalian berulang. setiap perkalian berulang dituliskan dengan menggunakan bilangan berpangkat. perkalian bilangan - bilangan berpangkat dapat dituliskan dengan cara :
Contoh :
A × A × A = A³
B × B = B²
C = C¹
__________________________________
Rumus Bilangan Berpangkat :
__________________________________
Dimana :
__________________________________
Contoh :
Contoh Bilangan Berpangkat 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
16² = 16 × 16 = 256
17² = 17 × 17 = 289
18² = 18 × 18 = 324
19² = 19 × 19 = 361
20² = 20 × 20 = 400
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Contoh Bilangan Berpangkat 3 :
1³ = 1 × 1 × 1 = 3
2³ = 2 × 2 × 2 = 9
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 = 3.375
16³ = 16 × 16 × 16 = 4.096
17³ = 17 × 17 × 17 = 4.913
18³ = 18 × 18 × 18 = 5.832
19³ = 19 × 19 × 19 = 6.859
20³ = 20 × 20 × 20 = 8.000
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Berikut adalah Cara Menghitung Bilangan Berpangkat 1, 2, dan 3 :
Bilangan Pangkat 1 :
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Bilangan Pangkat 2 :
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Bilangan Pangkat 3 :
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Cara Menghitung Bilangan 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
16² = 16 × 16 = 256
17² = 17 × 17 = 289
18² = 18 × 18 = 324
19² = 19 × 19 = 361
20² = 20 × 20 = 400
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Cara Menghitung Bilangan Pangkat 3 :
1³ = 1 × 1 × 1 = 3
2³ = 2 × 2 × 2 = 9
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 = 3.375
16³ = 16 × 16 × 16 = 4.096
17³ = 17 × 17 × 17 = 4.913
18³ = 18 × 18 × 18 = 5.832
19³ = 19 × 19 × 19 = 6.859
20³ = 20 × 20 × 20 = 8.000
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Jawab :
1.) 13²
= 13(13)
= 13 × 13
= 169
________________________________________
2.) 44²
= 44(44)
= 44 × 44
= 1.936
________________________________________
3.) 17³
= 17(17) × 17
= 17 × 17 × 17
= ( 17 × 17 ) × 17
= 289 × 17
= 4.913
__________________________________
Catatan :
• Utamakan Perkalian dan Pembagian karna sama" kuat ( × ÷ )
• Pengurangan dan Pertambahan di kerjakan di paling bagian terakhir, jika ada operasi Perkalian dan Pembagian ( × ÷ )
• Kenapa harus Perkalian dan Pembagian di dahulukan dari pada Pertambahan dan Pengurangan, karna Perkalian dan Pembagian lebih kuat dari pada, Pertambahan dan Pengurangan ( × ÷ + - )
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Kesimpulan :
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Pelajari Lebih Lanjut :
• Pengertian dari bilangan berpangkat :
brainly.co.id/tugas/51531894
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Detail Jawaban :
Mapel: Matematika
Kelas : 9
Materi : Perpangkatan
Kode Kategorisasi : 9.2.1
Kata Kunci: Bilangan Berpangkat
Jawaban:
13²
=13×13
= 169
44²
= 44×44
=1.936
17³
= 17×17×17
= 289×17
= 4.913
maaf kalo salah