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

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

Evaluate

$$\frac{4}{81}\approx 0.049382716$$

Solution Steps

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

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

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

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

Multiply \frac{1}{9} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 4}{9\times 9}.

$$\frac{4}{81}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {4}} = 0.04938271604938271$$