Resolver {c}{[3^{4}*5^2]^3}{*7,2^3*5^3}{*7}

$$\left. \begin{array} { c } { [ 3 ^ { 4 } \times 5 ^ { 2 } ] ^ { 3 } } \\ { \times 7,2 ^ { 3 } \times 5 ^ { 3 } } \\ { \times 7 } \end{array} \right.$$

Calcular

$$406884515625000$$

Pasos da solución

Calcula 3 á potencia de 4 e obtén 81.

$$\left(81\times 5^{2}\right)^{3}\times 7\times 2^{3}\times 5^{3}\times 7$$

Calcula 5 á potencia de 2 e obtén 25.

$$\left(81\times 25\right)^{3}\times 7\times 2^{3}\times 5^{3}\times 7$$

Multiplica 81 e 25 para obter 2025.

$$2025^{3}\times 7\times 2^{3}\times 5^{3}\times 7$$

Calcula 2025 á potencia de 3 e obtén 8303765625.

$$8303765625\times 7\times 2^{3}\times 5^{3}\times 7$$

Multiplica 8303765625 e 7 para obter 58126359375.

$$58126359375\times 2^{3}\times 5^{3}\times 7$$

Calcula 2 á potencia de 3 e obtén 8.

$$58126359375\times 8\times 5^{3}\times 7$$

Multiplica 58126359375 e 8 para obter 465010875000.

$$465010875000\times 5^{3}\times 7$$

Calcula 5 á potencia de 3 e obtén 125.

$$465010875000\times 125\times 7$$

Multiplica 465010875000 e 125 para obter 58126359375000.

$$58126359375000\times 7$$

Multiplica 58126359375000 e 7 para obter 406884515625000.

$$406884515625000$$

Factorizar

$$2^{3}\times 3^{12}\times 5^{9}\times 7^{2}$$