Solve 8*73*8*73*8*73+4*27*4*27*4*27/8*73*8*73+4*27*4*27-8*73*4*27

$$\frac { 8 \cdot 73 \times 8 \cdot 73 \times 8 \cdot 73 + 4 \cdot 27 \times 4 \cdot 27 \times 4 \cdot 27 } { 8 \cdot 73 \times 8 \cdot 73 + 4 \cdot 27 \times 4 \cdot 27 - 8 \cdot 73 \times 4 \cdot 27 }$$

Evaluate

$$692$$

Solution Steps

Multiply 8 and 73 to get 584. Multiply 4 and 27 to get 108.

$$\frac{584\times 8\times 73\times 8\times 73+108\times 4\times 27\times 4\times 27}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 584 and 8 to get 4672.

$$\frac{4672\times 73\times 8\times 73+108\times 4\times 27\times 4\times 27}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 4672 and 73 to get 341056.

$$\frac{341056\times 8\times 73+108\times 4\times 27\times 4\times 27}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 341056 and 8 to get 2728448.

$$\frac{2728448\times 73+108\times 4\times 27\times 4\times 27}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 2728448 and 73 to get 199176704.

$$\frac{199176704+108\times 4\times 27\times 4\times 27}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 108 and 4 to get 432.

$$\frac{199176704+432\times 27\times 4\times 27}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 432 and 27 to get 11664.

$$\frac{199176704+11664\times 4\times 27}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 11664 and 4 to get 46656.

$$\frac{199176704+46656\times 27}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 46656 and 27 to get 1259712.

$$\frac{199176704+1259712}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Add 199176704 and 1259712 to get 200436416.

$$\frac{200436416}{8\times 73\times 8\times 73+4\times 27\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 8 and 73 to get 584. Multiply 4 and 27 to get 108.

$$\frac{200436416}{584\times 8\times 73+108\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 584 and 8 to get 4672.

$$\frac{200436416}{4672\times 73+108\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 4672 and 73 to get 341056.

$$\frac{200436416}{341056+108\times 4\times 27-8\times 73\times 4\times 27}$$

Multiply 108 and 4 to get 432.

$$\frac{200436416}{341056+432\times 27-8\times 73\times 4\times 27}$$

Multiply 432 and 27 to get 11664.

$$\frac{200436416}{341056+11664-8\times 73\times 4\times 27}$$

Add 341056 and 11664 to get 352720.

$$\frac{200436416}{352720-8\times 73\times 4\times 27}$$

Multiply 8 and 73 to get 584.

$$\frac{200436416}{352720-584\times 4\times 27}$$

Multiply 584 and 4 to get 2336.

$$\frac{200436416}{352720-2336\times 27}$$

Multiply 2336 and 27 to get 63072.

$$\frac{200436416}{352720-63072}$$

Subtract 63072 from 352720 to get 289648.

$$\frac{200436416}{289648}$$

Divide 200436416 by 289648 to get 692.

$$692$$

Factor

$$2^{2}\times 173$$