Solve (-4)^2:8-sqrt{49}-(-2)^3

$$( - 4 ) ^ { 2 } : 8 - \sqrt { 49 } - ( - 2 ) ^ { 3 }$$

Evaluate

$$3$$

Solution Steps

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

$$\frac{16}{8}-\sqrt{49}-\left(-2\right)^{3}$$

Divide 16 by 8 to get 2.

$$2-\sqrt{49}-\left(-2\right)^{3}$$

Calculate the square root of 49 and get 7.

$$2-7-\left(-2\right)^{3}$$

Subtract 7 from 2 to get -5.

$$-5-\left(-2\right)^{3}$$

Calculate -2 to the power of 3 and get -8.

$$-5-\left(-8\right)$$

The opposite of -8 is 8.

$$-5+8$$

Add -5 and 8 to get 3.

$$3$$

Factor

$$3$$