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

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

Evaluate

$$-\frac{1}{81}\approx -0.012345679$$

Solution Steps

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

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

Multiply \frac{1}{9} and -3 to get -\frac{1}{3}.

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

Multiply -\frac{1}{3} and \frac{1}{3} to get -\frac{1}{9}.

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

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

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

Multiply -\frac{1}{9} and \frac{1}{9} to get -\frac{1}{81}.

$$-\frac{1}{81}$$

Factor

$$-\frac{1}{81} = -0.012345679012345678$$