Solve sqrt{3^4*5^6*7^8}=

$$\sqrt { 3 ^ { 4 } \cdot 5 ^ { 6 } \cdot 7 ^ { 8 } } =$$

Evaluate

$$2701125$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\sqrt{81\times 5^{6}\times 7^{8}}$$

Calculate 5 to the power of 6 and get 15625.

$$\sqrt{81\times 15625\times 7^{8}}$$

Multiply 81 and 15625 to get 1265625.

$$\sqrt{1265625\times 7^{8}}$$

Calculate 7 to the power of 8 and get 5764801.

$$\sqrt{1265625\times 5764801}$$

Multiply 1265625 and 5764801 to get 7296076265625.

$$\sqrt{7296076265625}$$

Calculate the square root of 7296076265625 and get 2701125.

$$2701125$$

Factor

$$3^{2}\times 5^{3}\times 7^{4}$$