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

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

Avaliar

$$\frac{439530000000000000000000000000}{29}\approx 1,51562069 \cdot 10^{28}$$

Passos Para a Resolução

Para dividir as potências da mesma base, subtraia o exponente do denominador do exponente do numerador.

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

Calcule 10 elevado a 21 e obtenha 1000000000000000000000.

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

Multiplique 39 e 1000000000000000000000 para obter 39000000000000000000000.

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

Calcule 16100 elevado a 2 e obtenha 259210000.

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

Multiplique 39000000000000000000000 e 259210000 para obter 10109190000000000000000000000000.

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

Reduza a fração \frac{10109190000000000000000000000000}{667} para os termos mais baixos ao retirar e anular 23.

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

Fatorizar

$$\frac{2 ^ {25} \cdot 3 \cdot 5 ^ {25} \cdot 7 ^ {2} \cdot 13 \cdot 23}{29} = 1,515620689655173 \times 10^{28}\frac{4}{29} = 1,515620689655173 \times 10^{28}$$