Resolver (4000*0.0157)^2/4000^2+476476^2

$$\frac { ( 4000 \times 0.0157 ) ^ { 2 } } { 4000 ^ { 2 } + 476476 ^ { 2 } }$$

Calcular

$$\frac{24649}{1419033616100}\approx 0.000000017$$

Pasos da solución

Multiplica 4000 e 0.0157 para obter 62.8.

$$\frac{62.8^{2}}{4000^{2}+476476^{2}}$$

Calcula 62.8 á potencia de 2 e obtén 3943.84.

$$\frac{3943.84}{4000^{2}+476476^{2}}$$

Calcula 4000 á potencia de 2 e obtén 16000000.

$$\frac{3943.84}{16000000+476476^{2}}$$

Calcula 476476 á potencia de 2 e obtén 227029378576.

$$\frac{3943.84}{16000000+227029378576}$$

Suma 16000000 e 227029378576 para obter 227045378576.

$$\frac{3943.84}{227045378576}$$

Expande \frac{3943.84}{227045378576} multiplicando o numerador e o denominador por 100.

$$\frac{394384}{22704537857600}$$

Reduce a fracción \frac{394384}{22704537857600} a termos máis baixos extraendo e cancelando 16.

$$\frac{24649}{1419033616100}$$

Factorizar

$$\frac{157 ^ {2}}{349 \cdot 2797 \cdot 14537 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 1.737027207836278 \times 10^{-8}$$