Solve (18(26)^2-1/3(26)^3)*9800

$$( 18 ( 26 ) ^ { 2 } - \frac { 1 } { 3 } ( 26 ) ^ { 3 } ) \times 9800$$

Evaluate

$$\frac{185494400}{3}\approx 61831466.666666667$$

Solution Steps

Calculate 26 to the power of 2 and get 676.

$$\left(18\times 676-\frac{1}{3}\times 26^{3}\right)\times 9800$$

Multiply 18 and 676 to get 12168.

$$\left(12168-\frac{1}{3}\times 26^{3}\right)\times 9800$$

Calculate 26 to the power of 3 and get 17576.

$$\left(12168-\frac{1}{3}\times 17576\right)\times 9800$$

Multiply \frac{1}{3} and 17576 to get \frac{17576}{3}.

$$\left(12168-\frac{17576}{3}\right)\times 9800$$

Convert 12168 to fraction \frac{36504}{3}.

$$\left(\frac{36504}{3}-\frac{17576}{3}\right)\times 9800$$

Since \frac{36504}{3} and \frac{17576}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36504-17576}{3}\times 9800$$

Subtract 17576 from 36504 to get 18928.

$$\frac{18928}{3}\times 9800$$

Express \frac{18928}{3}\times 9800 as a single fraction.

$$\frac{18928\times 9800}{3}$$

Multiply 18928 and 9800 to get 185494400.

$$\frac{185494400}{3}$$

Factor

$$\frac{2 ^ {7} \cdot 5 ^ {2} \cdot 7 ^ {3} \cdot 13 ^ {2}}{3} = 61831466\frac{2}{3} = 61831466.666666664$$