Solve 4(2+13*2+9(11+4*7+8*6-(1+10*7))=

$$4 ( 2 + 13 \times 2 + 9 ( 11 + 4 \cdot 7 + 8 \times 6 - ( 1 + 10 \times 7 ) ) =$$

Evaluate

$$688$$

Solution Steps

Multiply 13 and 2 to get 26.

$$4\left(2+26+9\left(11+4\times 7+8\times 6-\left(1+10\times 7\right)\right)\right)$$

Add 2 and 26 to get 28.

$$4\left(28+9\left(11+4\times 7+8\times 6-\left(1+10\times 7\right)\right)\right)$$

Multiply 4 and 7 to get 28. Multiply 8 and 6 to get 48.

$$4\left(28+9\left(11+28+48-\left(1+10\times 7\right)\right)\right)$$

Add 11 and 28 to get 39.

$$4\left(28+9\left(39+48-\left(1+10\times 7\right)\right)\right)$$

Add 39 and 48 to get 87.

$$4\left(28+9\left(87-\left(1+10\times 7\right)\right)\right)$$

Multiply 10 and 7 to get 70.

$$4\left(28+9\left(87-\left(1+70\right)\right)\right)$$

Add 1 and 70 to get 71.

$$4\left(28+9\left(87-71\right)\right)$$

Subtract 71 from 87 to get 16.

$$4\left(28+9\times 16\right)$$

Multiply 9 and 16 to get 144.

$$4\left(28+144\right)$$

Add 28 and 144 to get 172.

$$4\times 172$$

Multiply 4 and 172 to get 688.

$$688$$

Factor

$$2^{4}\times 43$$