Solve -3^-2+(-3)^-2*(-3/2)^2

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

Evaluate

$$\frac{5}{36}\approx 0.138888889$$

Solution Steps

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

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

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

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

Calculate -\frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$-\frac{1}{9}+\frac{1}{9}\times \frac{9}{4}$$

Multiply \frac{1}{9} and \frac{9}{4} to get \frac{1}{4}.

$$-\frac{1}{9}+\frac{1}{4}$$

Add -\frac{1}{9} and \frac{1}{4} to get \frac{5}{36}.

$$\frac{5}{36}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3 ^ {2}} = 0.1388888888888889$$