Resolver 54310^4-left(3210^3right)^-3

$$543 { 10 }^{ 4 } - { \left(32 { 10 }^{ 3 } \right) }^{ -3 }$$

Avaliar

$$\frac{177930239999999999999}{32768000000000}=5430000$$

Passos Para a Resolução

Calcule 10 elevado a 4 e obtenha 10000.

$$543\times 10000-\left(32\times 10^{3}\right)^{-3}$$

Multiplique 543 e 10000 para obter 5430000.

$$5430000-\left(32\times 10^{3}\right)^{-3}$$

Calcule 10 elevado a 3 e obtenha 1000.

$$5430000-\left(32\times 1000\right)^{-3}$$

Multiplique 32 e 1000 para obter 32000.

$$5430000-32000^{-3}$$

Calcule 32000 elevado a -3 e obtenha \frac{1}{32768000000000}.

$$5430000-\frac{1}{32768000000000}$$

Subtraia \frac{1}{32768000000000} de 5430000 para obter \frac{177930239999999999999}{32768000000000}.

$$\frac{177930239999999999999}{32768000000000}$$

Fatorizar

$$\frac{353 \cdot 5094263 \cdot 98944964441}{2 ^ {24} \cdot 5 ^ {9}} = 5430000$$