Solve (-2/3)^2*(81/27)*12/3*1/5

$$( \frac { - 2 } { 3 } ) ^ { 2 } \times ( \frac { 81 } { 27 } ) \times \frac { 12 } { 3 } \times \frac { 1 } { 5 }$$

Evaluate

$$\frac{16}{15}\approx 1.066666667$$

Solution Steps

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$\left(-\frac{2}{3}\right)^{2}\times \frac{81}{27}\times \frac{12}{3}\times \frac{1}{5}$$

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

$$\frac{4}{9}\times \frac{81}{27}\times \frac{12}{3}\times \frac{1}{5}$$

Divide 81 by 27 to get 3.

$$\frac{4}{9}\times 3\times \frac{12}{3}\times \frac{1}{5}$$

Multiply \frac{4}{9} and 3 to get \frac{4}{3}.

$$\frac{4}{3}\times \frac{12}{3}\times \frac{1}{5}$$

Divide 12 by 3 to get 4.

$$\frac{4}{3}\times 4\times \frac{1}{5}$$

Multiply \frac{4}{3} and 4 to get \frac{16}{3}.

$$\frac{16}{3}\times \frac{1}{5}$$

Multiply \frac{16}{3} and \frac{1}{5} to get \frac{16}{15}.

$$\frac{16}{15}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 5} = 1\frac{1}{15} = 1.0666666666666667$$