Jawaban:

~Eksponen

Pendahuluan

࿇ Pengertian Eksponen

Eksponen adalah perkalian yang sama dengan angka itu sendiri dan perkaliannya dilakukan secara berulang-ulang, dan jika angkanya keduanya-duanya sama maka kita hanya akan menghitung pangkatnya saja (disederhanakan).

࿇ Bentuk umum Eksponen

Bentuk umum dari perpangkatan di tulis dalam bentuk :

a^n = a × a × a × . . . × a, jadi a dikalikan sebanyak n. Bagian a disebut dengan basis, sedangkan n disebut eksponen

࿇ Contoh soal Eksponen

Contoh soal Eksponen (Berulang-ulang)

10⁵

= (10 . 10 . 10 . 10 . 10)

= 100.000

Contoh soal Eksponen (Sederhanakan)

14¹²⁴⁵ ÷ 14¹⁹⁹

= 14(¹²³⁴-¹⁹⁹)

= 14¹⁰⁴⁶

࿇ Contoh Eksponen (2 - 5)

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

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 = 1000

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

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

Penyelesaian

5⁴

= (5 . 5 . 5 . 5)

= 25 . 5 . 5

= 125 . 5

= 625 ✔