Solve sqrt{(-2)^4(-3)^6(-7)^2(-11)^2}

$$\sqrt { ( - 2 ) ^ { 4 } ( - 3 ) ^ { 6 } ( - 7 ) ^ { 2 } ( - 11 ) ^ { 2 } }$$

Evaluate

$$8316$$

Solution Steps

Calculate -2 to the power of 4 and get 16.

$$\sqrt{16\left(-3\right)^{6}\left(-7\right)^{2}\left(-11\right)^{2}}$$

Calculate -3 to the power of 6 and get 729.

$$\sqrt{16\times 729\left(-7\right)^{2}\left(-11\right)^{2}}$$

Multiply 16 and 729 to get 11664.

$$\sqrt{11664\left(-7\right)^{2}\left(-11\right)^{2}}$$

Calculate -7 to the power of 2 and get 49.

$$\sqrt{11664\times 49\left(-11\right)^{2}}$$

Multiply 11664 and 49 to get 571536.

$$\sqrt{571536\left(-11\right)^{2}}$$

Calculate -11 to the power of 2 and get 121.

$$\sqrt{571536\times 121}$$

Multiply 571536 and 121 to get 69155856.

$$\sqrt{69155856}$$

Calculate the square root of 69155856 and get 8316.

$$8316$$

Factor

$$2^{2}\times 3^{3}\times 7\times 11$$