Resolver 5^-2*6^-3*5^4/6^-6

$$5 ^ { - 2 } \cdot 6 ^ { - 3 } \cdot \frac { 5 ^ { 4 } } { 6 ^ { - 6 } }$$

Calcular

$$5400$$

Pasos da solución

Calcula 5 á potencia de -2 e obtén \frac{1}{25}.

$$\frac{1}{25}\times 6^{-3}\times \frac{5^{4}}{6^{-6}}$$

Calcula 6 á potencia de -3 e obtén \frac{1}{216}.

$$\frac{1}{25}\times \frac{1}{216}\times \frac{5^{4}}{6^{-6}}$$

Multiplica \frac{1}{25} e \frac{1}{216} para obter \frac{1}{5400}.

$$\frac{1}{5400}\times \frac{5^{4}}{6^{-6}}$$

Calcula 5 á potencia de 4 e obtén 625.

$$\frac{1}{5400}\times \frac{625}{6^{-6}}$$

Calcula 6 á potencia de -6 e obtén \frac{1}{46656}.

$$\frac{1}{5400}\times \frac{625}{\frac{1}{46656}}$$

Divide 625 entre \frac{1}{46656} mediante a multiplicación de 625 polo recíproco de \frac{1}{46656}.

$$\frac{1}{5400}\times 625\times 46656$$

Multiplica 625 e 46656 para obter 29160000.

$$\frac{1}{5400}\times 29160000$$

Multiplica \frac{1}{5400} e 29160000 para obter 5400.

$$5400$$

Factorizar

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