Matematika Sekolah Menengah Atas (5/5)

7! + 6! × 5⁴ - 33⁴ + 55 - 77⁴

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(5/5)

7! + 6! × 5⁴ - 33⁴ + 55 - 77⁴

ngasal bahasa alien respon
pakai cara​

[tex] \sf7! + 6! × 5⁴ - 33⁴ + 55 - 77⁴[/tex]

[tex] \sf = (7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1) + 6! × 5⁴ - 33⁴ + 55 - 77⁴[/tex]

[tex] \sf = 5.040 + (6 \times 5 \times 4 \times 3 \times 2 \times 1) \times {5}^{4} - {33}^{4} + 55 - {77}^{4} [/tex]

[tex] \sf = 5.040 + 720 \times (5 \times 5 \times 5 \times 5) - {33}^{4} + 55 - {77}^{4} [/tex]

[tex] \sf = 5.040 + 720 \times 625 - (33 \times 33 \times 33 \times 33) + 55 - {77}^{4} [/tex]

[tex] \sf = 5.040 + 720 \times 625 - 1.185.921 + 55 - (77 \times 77 \times 77 \times 77)[/tex]

[tex] \sf = 5.040 + 720 \times 625 - 1.185.921 + 55 -35.153.041[/tex]

[tex] \sf = -35.883.867[/tex]

Penjelasan dengan langkah-langkah:

7! + 6! × 5⁴ - 33⁴ + 55 - 77⁴

7!

= 7 × 6 × 5 × 4 × 3 × 2 × 1

= 42 × 5 × 4 × 3 × 2 × 1

= 210 × 4 × 3 × 2 × 1

= 840 × 3 × 2 × 1

= 2.520 × 2 × 1

= 5.040 × 1

= 5.040

6!

= 6 × 5 × 4 × 3 × 2 × 1

= 30 × 4 × 3 × 2 × 1

= 120 × 3 × 2 × 1

= 360 × 2 × 1

= 720 × 1

= 720

5⁴

= 5 × 5 × 5 × 5

= 25 × 5 × 5

= 125 × 5

= 625

33⁴

= 33 × 33 × 33 × 33

= 1.089 × 33 × 33

= 35.937 × 33

= 1.185.921

77⁴

= 77 × 77 × 77 × 77

= 5.929 × 77 × 77

= 456.533 × 77

= 35.153.041

7! + 6! × 5⁴ - 33⁴ + 55 - 77⁴

= 5.040 + 720 × 625 - 1.185.921 - 35.153.041

= 5.040 + ( 720 × 625 ) - 1.185.921 - 35.153.041

= 5.040 + 450.00 - 1.185.921 - 35.153.041

= 455.040 - 1.185.921 - 35.153.041

= -730.881 - 35.153.041

= -35.883.922

SEMOGA BERMANFAAT

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