Question

VĂ ROG REPEDEEE!!!DAU COROANĂ!!!RAPID!!!!

Fracția 5²⁵-5²¹ supra 5²²+5²⁴ este echivalentă cu fracția

REPEDE VĂ ROG!!!​

Answer 1

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bazilalina777muta

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Answer 2

5²⁵-5²¹ / 5²²+5²⁴ = 24/5

Răspuns:

$\bf\red\: \frac{5 {}^{25 } - 5 {}^{21} }{5 {}^{22} + 5 {}^{24} } \\ \\ \bf\red\:= \frac{5 {}^{4 + 21} - 5 {}^{21} }{5 {}^{22} + 5 {}^{2 + 22} } = \\ \\ \bf\red\:= \frac{5 {}^{4} \times 5 {}^{21 } - 5 {}^{21} }{5 {}^{22} + 5 {}^{2} \times 5 {}^{22} } = \\ \\\bf\red\: = \frac{(5 {}^{4} - 1) \times 5 {}^{21} }{(1 + 5 {}^{2}) \times 5 {}^{22} } = \\ \\\bf\red\: = \frac{(625 - 1) \times 5 {}^{21} }{(1 + 25) \times 5 {}^{22} } = \\ \\ = \bf\red\: \frac{625 - 1}{(1 + 25) \times 5} = \\ \\ \bf\red\: = \frac{624}{26 \times 5} \\ \\ = \bf\red\:\frac{24}{5}$