Solve {l}{{3^3+(-7)^3}*{7^2+(-3)^2}}{+(7/3-3/7)div(3/7-7/3)}

$$\left. \begin{array} { l } { \{ 3 ^ { 3 } + ( - 7 ) ^ { 3 } \} \times \{ 7 ^ { 2 } + ( - 3 ) ^ { 2 } \} } \\ { + ( \frac { 7 } { 3 } - \frac { 3 } { 7 } ) \div ( \frac { 3 } { 7 } - \frac { 7 } { 3 } ) } \end{array} \right.$$

Evaluate

$$-18329$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$\left(27+\left(-7\right)^{3}\right)\left(7^{2}+\left(-3\right)^{2}\right)+\frac{\frac{7}{3}-\frac{3}{7}}{\frac{3}{7}-\frac{7}{3}}$$

Calculate -7 to the power of 3 and get -343.

$$\left(27-343\right)\left(7^{2}+\left(-3\right)^{2}\right)+\frac{\frac{7}{3}-\frac{3}{7}}{\frac{3}{7}-\frac{7}{3}}$$

Subtract 343 from 27 to get -316.

$$-316\left(7^{2}+\left(-3\right)^{2}\right)+\frac{\frac{7}{3}-\frac{3}{7}}{\frac{3}{7}-\frac{7}{3}}$$

Calculate 7 to the power of 2 and get 49.

$$-316\left(49+\left(-3\right)^{2}\right)+\frac{\frac{7}{3}-\frac{3}{7}}{\frac{3}{7}-\frac{7}{3}}$$

Calculate -3 to the power of 2 and get 9.

$$-316\left(49+9\right)+\frac{\frac{7}{3}-\frac{3}{7}}{\frac{3}{7}-\frac{7}{3}}$$

Add 49 and 9 to get 58.

$$-316\times 58+\frac{\frac{7}{3}-\frac{3}{7}}{\frac{3}{7}-\frac{7}{3}}$$

Multiply -316 and 58 to get -18328.

$$-18328+\frac{\frac{7}{3}-\frac{3}{7}}{\frac{3}{7}-\frac{7}{3}}$$

Extract the negative sign in \frac{7}{3}-\frac{3}{7}.

$$-18328+\frac{-\left(\frac{3}{7}-\frac{7}{3}\right)}{\frac{3}{7}-\frac{7}{3}}$$

Cancel out \frac{3}{7}-\frac{7}{3} in both numerator and denominator.

$$-18328-1$$

Subtract 1 from -18328 to get -18329.

$$-18329$$

Factor

$$-18329$$