Solve (41/6*(-0,2))^2

$$( 4 \frac { 1 } { 6 } \times ( - 0,2 ) ) ^ { 2 }$$

Evaluate

$$\frac{25}{36}\approx 0,694444444$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\left(\frac{24+1}{6}\left(-0,2\right)\right)^{2}$$

Add 24 and 1 to get 25.

$$\left(\frac{25}{6}\left(-0,2\right)\right)^{2}$$

Multiply \frac{25}{6} and -0,2 to get -\frac{5}{6}.

$$\left(-\frac{5}{6}\right)^{2}$$

Calculate -\frac{5}{6} to the power of 2 and get \frac{25}{36}.

$$\frac{25}{36}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 0.6944444444444444$$