Question

1) 6³²×4³²-(24¹⁶-5)(24¹⁶+5) (56¹⁰-7)

2) (56¹⁰×7)-7²⁰-8²⁰​

Answer 1

Відповідь:

1) 24¹⁶ - 5 = (24⁸ - √5)(24⁸ + √5)

24¹⁶ + 5 = (24⁸ + √5)(24⁸ - √5)

6³² × 4³² - [(24⁸ - √5)(24⁸ + √5)] [(24⁸ + √5)(24⁸ - √5)] (56¹⁰ - 7)

6³² × 4³² - (24⁸ - 5)(24⁸ + 5) (56¹⁰ - 7)

(6 × 4)³² - (24⁸)² + 25 (56¹⁰ - 7)

24³⁴ - 24¹⁶ + 25 (56¹⁰ - 7)

1.329 × 10³⁹ - 65536 + 25(5.725 × 10¹³)

1.329 × 10³⁹ - 65536 + 1.43125 × 10¹⁵

1.329 × 10³⁹ + 1.43125 × 10¹⁵ - 65536

1.329 × 10³⁹ + 1.431184 × 10¹⁵

1.329 × 10³⁹ + 1.431184 × 10¹⁵.

2) (56¹⁰×7) - 7²⁰ - 8²⁰ = 7(56¹⁰) - (7²⁰ + 8²⁰)

7²⁰ = 7×(10⁹)² = 7×10¹⁸

8²⁰ = 8×(10⁹)² = 8×10¹⁸

7(56¹⁰) - (7²⁰ + 8²⁰) = 7×(10¹⁰)×(10⁶) - (7×10¹⁸ + 8×10¹⁸) = 7×10²⁰ - 15×10¹⁸ =  7×10²⁰ - 1.5×10¹⁹

7×10²⁰ - 1.5×10¹⁹.

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