Solve 1200^2*(1-0067)/8*(82.7941^2-2*8.9597*0.9886*82.7941*7.8695+8.9597^2*7.8695^2)

$$\frac{ { 1200 }^{ 2 } \times (1-0067) }{ 8 } \times ( { 82.7941 }^{ 2 } -2 \times 8.9597 \times 0.9886 \times 82.7941 \times 7.8695+ { 8.9597 }^{ 2 } \times { 7.8695 }^{ 2 } )$$

Evaluate

$$51126919.95359193561$$

Solution Steps

Calculate 1200 to the power of 2 and get 1440000.

$$\frac{1440000\left(1-0\times 0\times 67\right)}{8}\left(82.7941^{2}-2\times 8.9597\times 0.9886\times 82.7941\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Multiply 0 and 0 to get 0.

$$\frac{1440000\left(1-0\times 67\right)}{8}\left(82.7941^{2}-2\times 8.9597\times 0.9886\times 82.7941\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Multiply 0 and 67 to get 0.

$$\frac{1440000\left(1-0\right)}{8}\left(82.7941^{2}-2\times 8.9597\times 0.9886\times 82.7941\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Subtract 0 from 1 to get 1.

$$\frac{1440000\times 1}{8}\left(82.7941^{2}-2\times 8.9597\times 0.9886\times 82.7941\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Multiply 1440000 and 1 to get 1440000.

$$\frac{1440000}{8}\left(82.7941^{2}-2\times 8.9597\times 0.9886\times 82.7941\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Divide 1440000 by 8 to get 180000.

$$180000\left(82.7941^{2}-2\times 8.9597\times 0.9886\times 82.7941\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Calculate 82.7941 to the power of 2 and get 6854.86299481.

$$180000\left(6854.86299481-2\times 8.9597\times 0.9886\times 82.7941\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Multiply 2 and 8.9597 to get 17.9194.

$$180000\left(6854.86299481-17.9194\times 0.9886\times 82.7941\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Multiply 17.9194 and 0.9886 to get 17.71511884.

$$180000\left(6854.86299481-17.71511884\times 82.7941\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Multiply 17.71511884 and 82.7941 to get 1466.707320750844.

$$180000\left(6854.86299481-1466.707320750844\times 7.8695+8.9597^{2}\times 7.8695^{2}\right)$$

Multiply 1466.707320750844 and 7.8695 to get 11542.253260648766858.

$$180000\left(6854.86299481-11542.253260648766858+8.9597^{2}\times 7.8695^{2}\right)$$

Subtract 11542.253260648766858 from 6854.86299481 to get -4687.390265838766858.

$$180000\left(-4687.390265838766858+8.9597^{2}\times 7.8695^{2}\right)$$

Calculate 8.9597 to the power of 2 and get 80.27622409.

$$180000\left(-4687.390265838766858+80.27622409\times 7.8695^{2}\right)$$

Calculate 7.8695 to the power of 2 and get 61.92903025.

$$180000\left(-4687.390265838766858+80.27622409\times 61.92903025\right)$$

Multiply 80.27622409 and 61.92903025 to get 4971.4287100253887225.

$$180000\left(-4687.390265838766858+4971.4287100253887225\right)$$

Add -4687.390265838766858 and 4971.4287100253887225 to get 284.0384441866218645.

$$180000\times 284.0384441866218645$$

Multiply 180000 and 284.0384441866218645 to get 51126919.95359193561.

$$51126919.95359193561$$

Factor

$$\frac{28393 \cdot 946459 \cdot 7046489 \cdot 3 ^ {3}}{2 ^ {11} \cdot 5 ^ {11}} = 51126919\frac{95359194112}{100000000000} = 51126919.95359194$$