Solve sqrt{3^4*4^4*5^4}

$$\sqrt { 3 ^ { 4 } \times 4 ^ { 4 } \times 5 ^ { 4 } }$$

Evaluate

$$3600$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\sqrt{81\times 4^{4}\times 5^{4}}$$

Calculate 4 to the power of 4 and get 256.

$$\sqrt{81\times 256\times 5^{4}}$$

Multiply 81 and 256 to get 20736.

$$\sqrt{20736\times 5^{4}}$$

Calculate 5 to the power of 4 and get 625.

$$\sqrt{20736\times 625}$$

Multiply 20736 and 625 to get 12960000.

$$\sqrt{12960000}$$

Calculate the square root of 12960000 and get 3600.

$$3600$$

Factor

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