Solve -10div(20div2^2*5div5)*6-2

$$- 10 \div ( 20 \div 2 ^ { 2 } \times 5 \div 5 ) \times 6 - 2$$

Evaluate

$$-14$$

Solution Steps

Divide -10 by \frac{\frac{20}{2^{2}}\times 5}{5} by multiplying -10 by the reciprocal of \frac{\frac{20}{2^{2}}\times 5}{5}.

$$\frac{-10\times 5}{\frac{20}{2^{2}}\times 5}\times 6-2$$

Multiply -10 and 5 to get -50.

$$\frac{-50}{\frac{20}{2^{2}}\times 5}\times 6-2$$

Calculate 2 to the power of 2 and get 4.

$$\frac{-50}{\frac{20}{4}\times 5}\times 6-2$$

Divide 20 by 4 to get 5.

$$\frac{-50}{5\times 5}\times 6-2$$

Multiply 5 and 5 to get 25.

$$\frac{-50}{25}\times 6-2$$

Divide -50 by 25 to get -2.

$$-2\times 6-2$$

Multiply -2 and 6 to get -12.

$$-12-2$$

Subtract 2 from -12 to get -14.

$$-14$$

Factor

$$-14$$