Solve -3^2(-1/2)^2(-6)^-1/(frac{-2{3})^23}

$$\frac { - 3 ^ { 2 } ( \frac { - 1 } { 2 } ) ^ { 2 } ( - 6 ) ^ { - 1 } } { ( \frac { - 2 } { 3 } ) ^ { 2 } 3 }$$

Evaluate

$$\frac{9}{32}=0.28125$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{-9\times \left(\frac{-1}{2}\right)^{2}\left(-6\right)^{-1}}{\left(\frac{-2}{3}\right)^{2}\times 3}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$\frac{-9\left(-\frac{1}{2}\right)^{2}\left(-6\right)^{-1}}{\left(\frac{-2}{3}\right)^{2}\times 3}$$

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{-9\times \frac{1}{4}\left(-6\right)^{-1}}{\left(\frac{-2}{3}\right)^{2}\times 3}$$

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

$$\frac{-\frac{9}{4}\left(-6\right)^{-1}}{\left(\frac{-2}{3}\right)^{2}\times 3}$$

Calculate -6 to the power of -1 and get -\frac{1}{6}.

$$\frac{-\frac{9}{4}\left(-\frac{1}{6}\right)}{\left(\frac{-2}{3}\right)^{2}\times 3}$$

Multiply -\frac{9}{4} and -\frac{1}{6} to get \frac{3}{8}.

$$\frac{\frac{3}{8}}{\left(\frac{-2}{3}\right)^{2}\times 3}$$

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

$$\frac{\frac{3}{8}}{\left(-\frac{2}{3}\right)^{2}\times 3}$$

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

$$\frac{\frac{3}{8}}{\frac{4}{9}\times 3}$$

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

$$\frac{\frac{3}{8}}{\frac{4}{3}}$$

Divide \frac{3}{8} by \frac{4}{3} by multiplying \frac{3}{8} by the reciprocal of \frac{4}{3}.

$$\frac{3}{8}\times \frac{3}{4}$$

Multiply \frac{3}{8} and \frac{3}{4} to get \frac{9}{32}.

$$\frac{9}{32}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {5}} = 0.28125$$