Solve --0.44^3/3+-0.44^2+-02

$$- \frac{ { -0.44 }^{ 3 } }{ 3 } + { -0.44 }^{ 2 } +-02$$

Evaluate

$$\frac{10406}{46875}\approx 0.221994667$$

Solution Steps

Calculate -0.44 to the power of 3 and get -0.085184.

$$-\frac{-0.085184}{3}+\left(-0.44\right)^{2}+0\times 2$$

Expand \frac{-0.085184}{3} by multiplying both numerator and the denominator by 1000000.

$$-\frac{-85184}{3000000}+\left(-0.44\right)^{2}+0\times 2$$

Reduce the fraction \frac{-85184}{3000000} to lowest terms by extracting and canceling out 64.

$$-\left(-\frac{1331}{46875}\right)+\left(-0.44\right)^{2}+0\times 2$$

The opposite of -\frac{1331}{46875} is \frac{1331}{46875}.

$$\frac{1331}{46875}+\left(-0.44\right)^{2}+0\times 2$$

Calculate -0.44 to the power of 2 and get 0.1936.

$$\frac{1331}{46875}+0.1936+0\times 2$$

Convert decimal number 0.1936 to fraction \frac{1936}{10000}. Reduce the fraction \frac{1936}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{1331}{46875}+\frac{121}{625}+0\times 2$$

Least common multiple of 46875 and 625 is 46875. Convert \frac{1331}{46875} and \frac{121}{625} to fractions with denominator 46875.

$$\frac{1331}{46875}+\frac{9075}{46875}+0\times 2$$

Since \frac{1331}{46875} and \frac{9075}{46875} have the same denominator, add them by adding their numerators.

$$\frac{1331+9075}{46875}+0\times 2$$

Add 1331 and 9075 to get 10406.

$$\frac{10406}{46875}+0\times 2$$

Multiply 0 and 2 to get 0.

$$\frac{10406}{46875}+0$$

Add \frac{10406}{46875} and 0 to get \frac{10406}{46875}.

$$\frac{10406}{46875}$$

Factor

$$\frac{2 \cdot 43 \cdot 11 ^ {2}}{3 \cdot 5 ^ {6}} = 0.22199466666666667$$