Solve (-2/5)^2:(-0,3)^2

$$( \frac { - 2 } { 5 } ) ^ { 2 } : ( - 0,3 ) ^ { 2 }$$

Evaluate

$$\frac{16}{9}\approx 1,777777778$$

Solution Steps

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$\frac{\left(-\frac{2}{5}\right)^{2}}{\left(-0,3\right)^{2}}$$

Calculate -\frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{\frac{4}{25}}{\left(-0,3\right)^{2}}$$

Calculate -0,3 to the power of 2 and get 0,09.

$$\frac{\frac{4}{25}}{0,09}$$

Express \frac{\frac{4}{25}}{0,09} as a single fraction.

$$\frac{4}{25\times 0,09}$$

Multiply 25 and 0,09 to get 2,25.

$$\frac{4}{2,25}$$

Expand \frac{4}{2,25} by multiplying both numerator and the denominator by 100.

$$\frac{400}{225}$$

Reduce the fraction \frac{400}{225} to lowest terms by extracting and canceling out 25.

$$\frac{16}{9}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1.7777777777777777$$