Resolver (16100)^2(39*10^10)/667*10^-11

$$\frac { ( 16100 ) ^ { 2 } ( 39 \times 10 ^ { 10 } ) } { 667 \times 10 ^ { - 11 } }$$

Calcular

$$\frac{439530000000000000000000000000}{29}\approx 1.51562069 \cdot 10^{28}$$

Pasos da solución

Para dividir potencias da mesma base, resta o expoñente do denominador do expoñente do numerador.

$$\frac{39\times 10^{21}\times 16100^{2}}{667}$$

Calcula 10 á potencia de 21 e obtén 1000000000000000000000.

$$\frac{39\times 1000000000000000000000\times 16100^{2}}{667}$$

Multiplica 39 e 1000000000000000000000 para obter 39000000000000000000000.

$$\frac{39000000000000000000000\times 16100^{2}}{667}$$

Calcula 16100 á potencia de 2 e obtén 259210000.

$$\frac{39000000000000000000000\times 259210000}{667}$$

Multiplica 39000000000000000000000 e 259210000 para obter 10109190000000000000000000000000.

$$\frac{10109190000000000000000000000000}{667}$$

Reduce a fracción \frac{10109190000000000000000000000000}{667} a termos máis baixos extraendo e cancelando 23.

$$\frac{439530000000000000000000000000}{29}$$

Factorizar

$$\frac{2 ^ {25} \cdot 3 \cdot 5 ^ {25} \cdot 7 ^ {2} \cdot 13 \cdot 23}{29} = 1.515620689655173 \times 10^{28}\frac{4}{29} = 1.515620689655173 \times 10^{28}$$