Solve 86*86*86+14*14*14/86*86-86*14+14*14

$$\frac { 86 \times 86 \times 86 + 14 \times 14 \times 14 } { 86 \times 86 - 86 \times 14 + 14 \times 14 }$$

Evaluate

$$100$$

Solution Steps

Multiply 86 and 86 to get 7396. Multiply 14 and 14 to get 196.

$$\frac{7396\times 86+196\times 14}{86\times 86-86\times 14+14\times 14}$$

Multiply 7396 and 86 to get 636056.

$$\frac{636056+196\times 14}{86\times 86-86\times 14+14\times 14}$$

Multiply 196 and 14 to get 2744.

$$\frac{636056+2744}{86\times 86-86\times 14+14\times 14}$$

Add 636056 and 2744 to get 638800.

$$\frac{638800}{86\times 86-86\times 14+14\times 14}$$

Multiply 86 and 86 to get 7396.

$$\frac{638800}{7396-86\times 14+14\times 14}$$

Multiply 86 and 14 to get 1204.

$$\frac{638800}{7396-1204+14\times 14}$$

Subtract 1204 from 7396 to get 6192.

$$\frac{638800}{6192+14\times 14}$$

Multiply 14 and 14 to get 196.

$$\frac{638800}{6192+196}$$

Add 6192 and 196 to get 6388.

$$\frac{638800}{6388}$$

Divide 638800 by 6388 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$