Solve -3^2*(-1/3)^2+(-3)^2div(-1)^2017

$$- 3 ^ { 2 } \times ( - \frac { 1 } { 3 } ) ^ { 2 } + ( - 3 ) ^ { 2 } \div ( - 1 ) ^ { 2017 }$$

Evaluate

$$-10$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$-9\left(-\frac{1}{3}\right)^{2}+\frac{\left(-3\right)^{2}}{\left(-1\right)^{2017}}$$

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

$$-9\times \frac{1}{9}+\frac{\left(-3\right)^{2}}{\left(-1\right)^{2017}}$$

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

$$-1+\frac{\left(-3\right)^{2}}{\left(-1\right)^{2017}}$$

Calculate -3 to the power of 2 and get 9.

$$-1+\frac{9}{\left(-1\right)^{2017}}$$

Calculate -1 to the power of 2017 and get -1.

$$-1+\frac{9}{-1}$$

Fraction \frac{9}{-1} can be rewritten as -9 by extracting the negative sign.

$$-1-9$$

Subtract 9 from -1 to get -10.

$$-10$$

Factor

$$-10$$