Solve sqrt[4]{2^8}*3^12*4^4

$$\sqrt[ 4 ] { 2 ^ { 8 } } \times 3 ^ { 12 } \times 4 ^ { 4 }$$

Evaluate

$$544195584$$

Solution Steps

Calculate 2 to the power of 8 and get 256.

$$\sqrt[4]{256}\times 3^{12}\times 4^{4}$$

Calculate \sqrt[4]{256} and get 4.

$$4\times 3^{12}\times 4^{4}$$

Calculate 3 to the power of 12 and get 531441.

$$4\times 531441\times 4^{4}$$

Multiply 4 and 531441 to get 2125764.

$$2125764\times 4^{4}$$

Calculate 4 to the power of 4 and get 256.

$$2125764\times 256$$

Multiply 2125764 and 256 to get 544195584.

$$544195584$$

Factor

$$2^{10}\times 3^{12}$$