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vladnest12
@vladnest12
August 2022
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Нужно решить третий номер
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математик2011
18⁴ = (2*9)⁴ = (2¹*3²)⁴ = 2⁴*3⁸
10² = (2*5)² = 2²*5²
15³ = (3*5)³ = 3³*5³
12⁵ = (3*4)⁵ = (3¹*2²)⁵ = 3⁵*2¹⁰
Теперь сокращаем
18⁴*10²/15³*12⁵ = 2⁴*3⁸*2²*5²/3³*5³*3⁵*2¹⁰=2⁶*3⁸*5²/2¹⁰*3⁸*5³=1/2⁴*5 = 1/16*5 = 1/80
10³*9²/6³*5² = 2³*5³*3⁴/2³*3³*5²=3*5=15
4*3⁶-11*27²+7*9³ = 4*3⁶-11*3⁶+7*3⁶ = 3⁶(4-11+7)=3⁶*0 = 0
2 votes
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vladnest12
Спасибо большое
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Answers & Comments
10² = (2*5)² = 2²*5²
15³ = (3*5)³ = 3³*5³
12⁵ = (3*4)⁵ = (3¹*2²)⁵ = 3⁵*2¹⁰
Теперь сокращаем
18⁴*10²/15³*12⁵ = 2⁴*3⁸*2²*5²/3³*5³*3⁵*2¹⁰=2⁶*3⁸*5²/2¹⁰*3⁸*5³=1/2⁴*5 = 1/16*5 = 1/80
10³*9²/6³*5² = 2³*5³*3⁴/2³*3³*5²=3*5=15
4*3⁶-11*27²+7*9³ = 4*3⁶-11*3⁶+7*3⁶ = 3⁶(4-11+7)=3⁶*0 = 0