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

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

Evaluate

$$406884515625000$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

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

Calculate 5 to the power of 2 and get 25.

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

Multiply 81 and 25 to get 2025.

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

Calculate 2025 to the power of 3 and get 8303765625.

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

Multiply 8303765625 and 7 to get 58126359375.

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

Calculate 2 to the power of 3 and get 8.

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

Multiply 58126359375 and 8 to get 465010875000.

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

Calculate 5 to the power of 3 and get 125.

$$465010875000\times 125\times 7$$

Multiply 465010875000 and 125 to get 58126359375000.

$$58126359375000\times 7$$

Multiply 58126359375000 and 7 to get 406884515625000.

$$406884515625000$$

Factor

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