Jawaban:

PENDAHULUAN :

✿ Faktorial adalah sebuah perkalian yang berurutan dan diawali dari angka yang dimaksud sampai dengan angka 1, faktorial mempunyai simbol yaitu tanda seru (!).

Contoh :

1! = 1

2! = 2 × 1 = 2

3! = 3 × 2 × 1 = 6

4! = 4 × 3 × 2 × 1 = 24

5! = 5 × 4 × 3 × 2 × 1 = 120

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5.040

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40.320

9! = 9×8×7×6×5×4×3×2×1 = 362.880

10! = 10×9×8×7×6×5×4×3×2×1= 3.628.800

✿ bilangan berpangkat merupakan bentuk perkalian berulang dari suatu bilangan yang sama.

{ Contoh Pangkat 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

{ Contoh Pangkat 3 }

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

{ Contoh Pangkat 4 }

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

{ Contoh Pangkat 5 }

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 :

= 12!

= 12×11×10×9×8×7×6×5×4×3×2×1

= 1.320×9×8×7×6×5×4×3×2×1

= 11.880×8×7×6×5×4×3×2×1

= 95.040×7×6×5×4×3×2×1

= 665.280×6×5×4×3×2×1

= 3.991.680×5×4×3×2×1

= 19.958.400×4×3×2×1

= 79.833.600×3×2×1

= 239.500.800×2×1

= 479.001.600

18² = 18 × 18

= 324

• Cara bersusun :

18

18 ×

144

18 +

324

KESIMPULAN :

12! = 479.001.600

18² = 324

PELAJARI LEBIH LANJUT :

" Tentang Faktorial

yomemimo.com/tugas/11267298

yomemimo.com/tugas/23103696

" Tentang Bilangan Berpangkat

yomemimo.com/tugas/47013484

yomemimo.com/tugas/47010415

DETAIL JAWABAN :

❐ Kelas : 12

❐ Mapel : Matematika

❐ Materi : Bab 7 - Kaidah pencacahan

❐ Kode Kategorisasi : 12.2.7

❐ Kata Kunci : hasil dari 12!

❐ Kelas : 9

❐ Mapel : Matematika

❐ Materi : Bab 1 - Bilangan Berpangkat

❐ Kode Soal : 2

❐ Kode Kategorisasi : 9.2.1

❐ Kata Kunci : hasil dari 18²