27³ + 127² =
12! - 10! =
pke cra yg lengkap yew -.
Jawaban:
1.) 27³ + 127² =
(27×27×27) + (127×127)
(729×27) + 16.129
19.683 + 16.129
→ 35.812
2.) 12! - 10! =
12!
(12×11×10×9×8×7×6×5×4×3×2×1)
132×90×56×30×12×2
11.880×1.680×24
19.958.400×24
→ 479.001.600
10!
(10×9×8×7×6×5×4×3×2×1)
90×56×30×12×2
5.040×360×2
1.814.400×2
→ 3.628.800
12! - 10!
(479.001.600 - 3.628.800)
= 475.372.800
________________________________
JAWABAN :
NO 1 :
27³ + 127² =
= 27³ + 127²
= ( 27 × 27 × 27 ) + ( 127 × 127 )
= ( 729 × 27 ) + 16.129
= 19.683 + 16.129
= 35.812
________________________________
NO 2 :
12! - 10! =
12! =
= 12×11×10×9×8×7×6×5×4×3×2×1
= 132×10×9×8×7×6×5×4×3×2×1
= 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
= 479.001.600×1
= 479.001.600
---------
10! =
= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 90 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 720 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 5.040 × 6 × 5 × 4 × 3 × 2 × 1
= 30.240 × 5 × 4 × 3 × 2 × 1
= 151.200 × 4 × 3 × 2 × 1
= 604.800 × 3 × 2 × 1
= 1.814.400 × 2 × 1
= 3.628.800 × 1
= 3.628.800
--------
12! - 10! =
= 12! - 10!
= 479.001.600 - 3.628.800
= 475.372.800
________________________________
Kesimpulan :
- Hasil dari 27³ + 127² adalah 35.812
- Hasil dari 12! - 10! adalah 475.372.800
________________________________
Detail jawaban :
- ❐ Kelas : XII
- ❐ Tingkat : SMA
- ❐ Mapel : Matematika
- ❐ Materi : Faktorial dan Perkalian
- ❐ Kata kunci : Hasil dari 27³ + 127² dan 12! - 10!
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