Question

Нужно решить третий номер

Answer 1

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