Question

5 la puterea 37 : 25;
2 la puterea 348 : 32;
6 la puterea 179 : 216;
49 × 7 la puterea 253 : 7;
3 la puterea 84 : 27 :3;
19 la puterea 38 : 19 × 19 la puterea 10.


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Answer 1

5³⁷ : 25 = 5³⁷ : 5² = 5 ⁽ ³⁷ ⁻ ² ⁾ = 5³⁵

2³⁴⁸ : 32 = 2³⁴⁸ : 2⁵ = 2 ⁽³⁴⁸  ⁻ ⁵ ⁾ = 2³⁴³

6¹⁷⁹ : 216 = 6¹⁷⁹ : 6³ = 6 ⁽ ¹⁷⁹ ⁻ ³ ⁾ = 6¹⁷⁶

49 x 7²⁵³ : 7 = 7² x 7²⁵³ : 7 = 7 ⁽ ² ⁺ ²⁵³ ⁻ ¹ ⁾ = 7 ²⁵⁴

3⁸⁴ : 27 : 3 = 3⁸⁴ : 3³ : 3 = 3 ⁽ ⁸⁴ ⁻ ³ ⁻ ¹ ⁾ = 3⁸⁰

19³⁸ : 19 x 19 ¹⁰ = 19 ⁽ ³⁸ ⁻ ¹ ⁺ ¹⁰ ⁾ = 19 ⁴⁷