Solve (-0.008)^-frac{1{3}}+9^1.5-(-0.5)^0-(-2sqrt{2})^2

$$( - 0.008 ) ^ { - \frac { 1 } { 3 } } + 9 ^ { 1.5 } - ( - 0.5 ) ^ { 0 } - ( - 2 \sqrt { 2 } ) ^ { 2 }$$

Evaluate

$$13$$

Solution Steps

Calculate -0.008 to the power of -\frac{1}{3} and get -5.

$$-5+9^{1.5}-\left(-0.5\right)^{0}-\left(-2\sqrt{2}\right)^{2}$$

Calculate 9 to the power of 1.5 and get 27.

$$-5+27-\left(-0.5\right)^{0}-\left(-2\sqrt{2}\right)^{2}$$

Add -5 and 27 to get 22.

$$22-\left(-0.5\right)^{0}-\left(-2\sqrt{2}\right)^{2}$$

Calculate -0.5 to the power of 0 and get 1.

$$22-1-\left(-2\sqrt{2}\right)^{2}$$

Subtract 1 from 22 to get 21.

$$21-\left(-2\sqrt{2}\right)^{2}$$

Expand \left(-2\sqrt{2}\right)^{2}.

$$21-\left(-2\right)^{2}\left(\sqrt{2}\right)^{2}$$

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

$$21-4\left(\sqrt{2}\right)^{2}$$

The square of \sqrt{2} is 2.

$$21-4\times 2$$

Multiply 4 and 2 to get 8.

$$21-8$$

Subtract 8 from 21 to get 13.

$$13$$

Factor

$$13$$