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

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

Evaluate

$$1$$

Solution Steps

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

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

Calculate 7 to the power of 2 and get 49.

$$\sqrt{16\times 49}-\sqrt{\left(-3\right)^{6}}$$

Multiply 16 and 49 to get 784.

$$\sqrt{784}-\sqrt{\left(-3\right)^{6}}$$

Calculate the square root of 784 and get 28.

$$28-\sqrt{\left(-3\right)^{6}}$$

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

$$28-\sqrt{729}$$

Calculate the square root of 729 and get 27.

$$28-27$$

Subtract 27 from 28 to get 1.

$$1$$

Factor

$$1$$