Solve -3^2*(-1/3)^2-(-2)^3div(-1/2)^2

$$- 3 ^ { 2 } \times ( - \frac { 1 } { 3 } ) ^ { 2 } - ( - 2 ) ^ { 3 } \div ( - \frac { 1 } { 2 } ) ^ { 2 }$$

Evaluate

$$31$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$-9\left(-\frac{1}{3}\right)^{2}-\frac{\left(-2\right)^{3}}{\left(-\frac{1}{2}\right)^{2}}$$

Calculate -\frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$-9\times \frac{1}{9}-\frac{\left(-2\right)^{3}}{\left(-\frac{1}{2}\right)^{2}}$$

Multiply -9 times \frac{1}{9}.

$$-1-\frac{\left(-2\right)^{3}}{\left(-\frac{1}{2}\right)^{2}}$$

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

$$-1-\frac{-8}{\left(-\frac{1}{2}\right)^{2}}$$

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$-1-\frac{-8}{\frac{1}{4}}$$

Divide -8 by \frac{1}{4} by multiplying -8 by the reciprocal of \frac{1}{4}.

$$-1-\left(-8\times 4\right)$$

Multiply -8 and 4 to get -32.

$$-1-\left(-32\right)$$

The opposite of -32 is 32.

$$-1+32$$

Add -1 and 32 to get 31.

$$31$$

Factor

$$31$$