Resolver frac{3^{-6}*10^-5*12^5}{5^-7*6^-5}

$$\frac { 3 ^ { - 6 } \times 10 ^ { - 5 } \times 12 ^ { 5 } } { 5 ^ { - 7 } \times 6 ^ { - 5 } }$$

Avaliar

$$2073600$$

Passos Para a Resolução

Calcule 3 elevado a -6 e obtenha \frac{1}{729}.

$$\frac{\frac{1}{729}\times 10^{-5}\times 12^{5}}{5^{-7}\times 6^{-5}}$$

Calcule 10 elevado a -5 e obtenha \frac{1}{100000}.

$$\frac{\frac{1}{729}\times \frac{1}{100000}\times 12^{5}}{5^{-7}\times 6^{-5}}$$

Multiplique \frac{1}{729} e \frac{1}{100000} para obter \frac{1}{72900000}.

$$\frac{\frac{1}{72900000}\times 12^{5}}{5^{-7}\times 6^{-5}}$$

Calcule 12 elevado a 5 e obtenha 248832.

$$\frac{\frac{1}{72900000}\times 248832}{5^{-7}\times 6^{-5}}$$

Multiplique \frac{1}{72900000} e 248832 para obter \frac{32}{9375}.

$$\frac{\frac{32}{9375}}{5^{-7}\times 6^{-5}}$$

Calcule 5 elevado a -7 e obtenha \frac{1}{78125}.

$$\frac{\frac{32}{9375}}{\frac{1}{78125}\times 6^{-5}}$$

Calcule 6 elevado a -5 e obtenha \frac{1}{7776}.

$$\frac{\frac{32}{9375}}{\frac{1}{78125}\times \frac{1}{7776}}$$

Multiplique \frac{1}{78125} e \frac{1}{7776} para obter \frac{1}{607500000}.

$$\frac{\frac{32}{9375}}{\frac{1}{607500000}}$$

Divida \frac{32}{9375} por \frac{1}{607500000} ao multiplicar \frac{32}{9375} pelo recíproco de \frac{1}{607500000}.

$$\frac{32}{9375}\times 607500000$$

Multiplique \frac{32}{9375} e 607500000 para obter 2073600.

$$2073600$$

Fatorizar

$$2^{10}\times 3^{4}\times 5^{2}$$