Q. (habisin poin)1.) 13³ = …?2.) 14³ = …?​

Eksponen.

____________________

1. 2.197
2. 2.744.

Pendahuluan :

➣ Eksponen adalah bentuk lain dari perkalian berulang.

➣ Bentuk penulisan umum bilangan Eksponen.

• a × a × a × a….

➣ Sifat sifat Eksponen.:

• 

➣ Contoh Eksponen(Pangkat):

• Pangkat 1:

1¹ = 1

2¹ = 2

3¹ = 3

4¹ = 4

5¹ = 5

6¹ = 6

7¹ = 7

8¹ = 8

9¹ = 9

10¹ = 10

11¹ = 11

12¹ = 12

13¹ = 13

14¹ = 14

15¹ = 15

• Pangkat 2:

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

• Pangkat 3:

1³ = 1

2³ = 8

3³ = 27

4³ =64

5³ = 125

6³ =216

7³ = 343

8³ = 512

9³ = 729

10³ = 1.000

11³ = 1.331

12³ = 1.728

13³ = 2.197

14³ = 2.744

15³ = 3.375

• Pangkat 4:

1⁴ = 1

2⁴ = 16

3⁴ = 81

4⁴ = 256

5⁴ = 625

6⁴ = 1.296

7⁴ = 2.401

8⁴ = 4.096

9⁴ = 6.561

10⁴ = 10.000

11⁴ = 14.641

12⁴ = 20.736

13⁴ = 28.561

14⁴ = 38.416

15⁴ = 50.625

• Pangkat 5:

1⁵ = 1

2⁵ = 32

3⁵ = 243

4⁵ = 1.024

5⁵ = 3.125

6⁵ = 7.776

7⁵ = 16.807

8⁵ = 32.768

9⁵ = 59.049

10⁵ = 100.000

11⁵ = 161.051

12⁵ = 248.832

13⁵ = 371.293

14⁵ = 537.824

15⁵ = 759.375

• Cara Menghitung Bilangan Pangkat 2:

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

11² = 11 × 11 = 121

12² = 12 × 12 = 144

13² = 13 × 13 = 168

14² = 14 × 14 = 196

15² = 15 × 15 = 225

• Cara Menghitung bilangan 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 = 3.375

• Cara Menghitung bilangan 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

• Cara menghitung bilangan 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 = 161.051

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

13⁵ = 13 × 13 × 13 × 13 × 13 = 371.293

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

15⁵ = 15 × 15 × 15 × 15 × 15

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Pembahasan :

1. 13³

• 13 × 13 × 13
• = 2.197✅

2. 14³

• = 14 × 14 × 14
• = 2.744✅

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━━━━━━━━━━━━━━━━

Detail Jawaban :

• Mata Pelajaran : Matematika.
• Kelas : IX
• Materi : Bab 1 – Bilangan Berpangkat
• Kode soal : 2
• Kode Kategorisasi : 9.2.1

1.) 13³ =

= 13 × 13 × 13

= 169 × 13

= 2.197

__

2.) 14³ =

= 14 × 14 × 14

= 196 × 14

= 2.744