Selesaikan operasi hitung bilangan pangkat dua berikut!
1. 9²+32 =
11. (13 + 7)2:52 - 22 =
2. 72 +42 = ....
12. 182 +52 - 92 = ....
3. 122- 52 = ....
13. 172 – 42 +62 =
4. 152 - 112 = ....
=
14. (10 + 3)2 + 102 - 32 =
5. (7 + 8)2 - 102 =
15. (12 – 4)2 - 42 + 72 =
6. (8 + 5)2 x 32 = ..
16. 152 x (7 + 3)2 : (8 - 5)2 =
7. 122:22 = ....
17. (12 + 13)2 - 122 - 132 = ..
8. 152 x 82: 42 = .... 18. 102 x 32 + 52 - 112 = ....
(5 x 6)² + 20²
9. (13 + 4)2 - 102 =
19.
4² + 32
452 - 152
10. 82 x 142: 72 = ....
20.
(2 + 3)²
.
Penjelasan dengan langkah-langkah:
1. 9² + 32 = (9 × 9) + 32
= 81 + 32
= 113
2. (13 + 7)² : 5² - 2² = 20² : 5² - 2²
= ((20×20) : (5×5)) - (2×2)
= (400 : 25) - 4
= 16 - 4
= 12
3. 7² + 4² = (7 × 7) + (4 × 4)
= 49 + 16
= 65
3. 18² + 5² - 9² = (18 × 18) + (5 × 5) - (9 × 9)
= 324 + 25 - 81
= 349 - 81
= 268
4. 12² - 5² = (12 × 12) - (5 × 5)
= 144 - 25
= 119
5. 17² – 4² + 6² = (17 × 17) - (4 × 4) + (6 × 6)
= 289 - 16 + 36
= 273 + 36
= 309
6. 15² - 11² = (15 × 15) - (11 × 11)
= 225 - 121
= 104
7. (10 + 3)² + 10² - 3² = 13² + 10² - 3²
= (13×13) + (10×10) - (3×3)
= 169 + 100 - 9
= 69 - 9
= 60
8. (7 + 8)² - 10² = 15² - 10²
= (15 × 15) - (10 × 10)
= 225 - 100
= 125
9. (12 - 4)² - 4² + 7² = 8² - 4² + 7²
= (8×8) - (4×4) + (7×7)
= 64 - 16 + 49
= 48 + 49
= 97
10. (8 + 5)² × 3² = 13² × 3²
= (13 × 13) × (3 × 3)
= 169 × 9
= 1.521
11. 15² × (7 + 3)² : (8 - 5)² = 15² × 10² : 3²
= (15×15) × (10×10) : (3×3)
= 225 × 100 : 9
= 22.500 : 9
= 2.500
12. 12² : 2² = (12 × 12) : (2 × 2)
= 144 : 4
= 36
13. (12 + 13)² - 12² - 13² = 25² - 12² - 13²
= (25×25) - (12×12) - (13×13)
= 625 - 144 - 169
= 481 - 169
= 312
14. 15² × 8² : 4² = (15×15) × (8×8) : (4×4)
= 225 × 64 : 16
= 14.400 : 16
= 900
15. 10² × 3² + 5² - 11² = (10×10) × (3×3) + (5×5) - (11×11)
= 100 × 9 + 25 - 121
= 900 + 25 - 131
= 925 - 131
= 794
16. (5 x 6)² + 20² = 30² + 20²
= (30×30) + (20×20)
= 900 + 400
= 1.300
17. (13 + 4)² - 10² = 17² - 10²
= (17×17) - (10×10)
= 289 - 100
= 189
18. 4² + 3² = (4 × 4) + (3 × 3)
= 16 + 9
= 25
19. 45² - 15² = (45 × 45) - (15 × 15)
= 2.025 - 225
= 1.800
20. 8² × 14² : 7² = (8×8) × (14×14) : (7×7)
= 64 × 196 : 49
= 12.544 : 49
= 256
21. (2 + 3)² = 5²
= (5 × 5)
= 25
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