Resolver 130*10^6*(65*10^-3)^2/4*314

$$130 \times 10 ^ { 6 } \times \frac { ( 65 \times 10 ^ { - 3 } ) ^ { 2 } } { 4 } \times 314$$

Avaliar

$$43116125$$

Passos Para a Resolução

Calcule 10 elevado a 6 e obtenha 1000000.

$$130\times 1000000\times \frac{\left(65\times 10^{-3}\right)^{2}}{4}\times 314$$

Multiplique 130 e 1000000 para obter 130000000.

$$130000000\times \frac{\left(65\times 10^{-3}\right)^{2}}{4}\times 314$$

Calcule 10 elevado a -3 e obtenha \frac{1}{1000}.

$$130000000\times \frac{\left(65\times \frac{1}{1000}\right)^{2}}{4}\times 314$$

Multiplique 65 e \frac{1}{1000} para obter \frac{13}{200}.

$$130000000\times \frac{\left(\frac{13}{200}\right)^{2}}{4}\times 314$$

Calcule \frac{13}{200} elevado a 2 e obtenha \frac{169}{40000}.

$$130000000\times \frac{\frac{169}{40000}}{4}\times 314$$

Expresse \frac{\frac{169}{40000}}{4} como uma fração única.

$$130000000\times \frac{169}{40000\times 4}\times 314$$

Multiplique 40000 e 4 para obter 160000.

$$130000000\times \frac{169}{160000}\times 314$$

Multiplique 130000000 e \frac{169}{160000} para obter \frac{274625}{2}.

$$\frac{274625}{2}\times 314$$

Multiplique \frac{274625}{2} e 314 para obter 43116125.

$$43116125$$

Fatorizar

$$5^{3}\times 13^{3}\times 157$$