Solve =2quad(6+74)(74+366)(6+74)(14+306)

$$= 2 \quad ( 6 + 74 ) ( 74 + 366 ) ( 6 + 74 ) ( 14 + 306 )$$

Evaluate

$$1802240000$$

Solution Steps

Multiply 6+74 and 6+74 to get \left(6+74\right)^{2}.

$$2\left(6+74\right)^{2}\left(74+366\right)\left(14+306\right)$$

Add 6 and 74 to get 80.

$$2\times 80^{2}\left(74+366\right)\left(14+306\right)$$

Calculate 80 to the power of 2 and get 6400.

$$2\times 6400\left(74+366\right)\left(14+306\right)$$

Multiply 2 and 6400 to get 12800.

$$12800\left(74+366\right)\left(14+306\right)$$

Add 74 and 366 to get 440.

$$12800\times 440\left(14+306\right)$$

Multiply 12800 and 440 to get 5632000.

$$5632000\left(14+306\right)$$

Add 14 and 306 to get 320.

$$5632000\times 320$$

Multiply 5632000 and 320 to get 1802240000.

$$1802240000$$

Factor

$$2^{18}\times 5^{4}\times 11$$