Solve 3^3-[8div(-2)^3-1]+(-3)^2*(-2)^3div1/205

$$3 ^ { 3 } - [ 8 \div ( - 2 ) ^ { 3 } - 1 ] + ( - 3 ) ^ { 2 } \times ( - 2 ) ^ { 3 } \div \frac { 1 } { 205 }$$

Evaluate

$$-14731$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$27-\left(\frac{8}{\left(-2\right)^{3}}-1\right)+\frac{\left(-3\right)^{2}\left(-2\right)^{3}}{\frac{1}{205}}$$

Calculate -2 to the power of 3 and get -8.

$$27-\left(\frac{8}{-8}-1\right)+\frac{\left(-3\right)^{2}\left(-2\right)^{3}}{\frac{1}{205}}$$

Divide 8 by -8 to get -1.

$$27-\left(-1-1\right)+\frac{\left(-3\right)^{2}\left(-2\right)^{3}}{\frac{1}{205}}$$

Subtract 1 from -1 to get -2.

$$27-\left(-2\right)+\frac{\left(-3\right)^{2}\left(-2\right)^{3}}{\frac{1}{205}}$$

The opposite of -2 is 2.

$$27+2+\frac{\left(-3\right)^{2}\left(-2\right)^{3}}{\frac{1}{205}}$$

Add 27 and 2 to get 29.

$$29+\frac{\left(-3\right)^{2}\left(-2\right)^{3}}{\frac{1}{205}}$$

Calculate -3 to the power of 2 and get 9.

$$29+\frac{9\left(-2\right)^{3}}{\frac{1}{205}}$$

Calculate -2 to the power of 3 and get -8.

$$29+\frac{9\left(-8\right)}{\frac{1}{205}}$$

Multiply 9 and -8 to get -72.

$$29+\frac{-72}{\frac{1}{205}}$$

Divide -72 by \frac{1}{205} by multiplying -72 by the reciprocal of \frac{1}{205}.

$$29-72\times 205$$

Multiply -72 and 205 to get -14760.

$$29-14760$$

Subtract 14760 from 29 to get -14731.

$$-14731$$

Factor

$$-14731$$