Solve =(frac{5^{3}}{3}-frac{4*5^{2}}{2}-0,2*5^3/3)-(0^3/3-4*0^2/2-0,2*0^3/3)

$$= ( \frac { 5 ^ { 3 } } { 3 } - \frac { 4 \cdot 5 ^ { 2 } } { 2 } - \frac { 0,2 \cdot 5 ^ { 3 } } { 3 } ) - ( \frac { 0 ^ { 3 } } { 3 } - \frac { 4 \cdot 0 ^ { 2 } } { 2 } - \frac { 0,2 \cdot 0 ^ { 3 } } { 3 } )$$

Evaluate

$$-\frac{50}{3}\approx -16.666666667$$

Solution Steps

Calculate 5 to the power of 3 and get 125.

$$\frac{125}{3}-\frac{4\times 5^{2}}{2}-\frac{0.2\times 5^{3}}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Calculate 5 to the power of 2 and get 25.

$$\frac{125}{3}-\frac{4\times 25}{2}-\frac{0.2\times 5^{3}}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Multiply 4 and 25 to get 100.

$$\frac{125}{3}-\frac{100}{2}-\frac{0.2\times 5^{3}}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Divide 100 by 2 to get 50.

$$\frac{125}{3}-50-\frac{0.2\times 5^{3}}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Convert 50 to fraction \frac{150}{3}.

$$\frac{125}{3}-\frac{150}{3}-\frac{0.2\times 5^{3}}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Since \frac{125}{3} and \frac{150}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-150}{3}-\frac{0.2\times 5^{3}}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Subtract 150 from 125 to get -25.

$$-\frac{25}{3}-\frac{0.2\times 5^{3}}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Calculate 5 to the power of 3 and get 125.

$$-\frac{25}{3}-\frac{0.2\times 125}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Multiply 0.2 and 125 to get 25.

$$-\frac{25}{3}-\frac{25}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Since -\frac{25}{3} and \frac{25}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-25-25}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Subtract 25 from -25 to get -50.

$$-\frac{50}{3}-\left(\frac{0^{3}}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Calculate 0 to the power of 3 and get 0.

$$-\frac{50}{3}-\left(\frac{0}{3}-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Zero divided by any non-zero number gives zero.

$$-\frac{50}{3}-\left(0-\frac{4\times 0^{2}}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Calculate 0 to the power of 2 and get 0.

$$-\frac{50}{3}-\left(0-\frac{4\times 0}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Multiply 4 and 0 to get 0.

$$-\frac{50}{3}-\left(0-\frac{0}{2}-\frac{0.2\times 0^{3}}{3}\right)$$

Zero divided by any non-zero number gives zero.

$$-\frac{50}{3}-\left(0+0-\frac{0.2\times 0^{3}}{3}\right)$$

Add 0 and 0 to get 0.

$$-\frac{50}{3}-\left(-\frac{0.2\times 0^{3}}{3}\right)$$

Calculate 0 to the power of 3 and get 0.

$$-\frac{50}{3}-\left(-\frac{0.2\times 0}{3}\right)$$

Multiply 0.2 and 0 to get 0.

$$-\frac{50}{3}-\left(-\frac{0}{3}\right)$$

Zero divided by any non-zero number gives zero.

$$-\frac{50}{3}-0$$

Subtract 0 from -\frac{50}{3} to get -\frac{50}{3}.

$$-\frac{50}{3}$$

Factor

$$-\frac{50}{3} = -16\frac{2}{3} = -16.666666666666668$$