Solve 41/2*[-3^6*(-1/3)^6-0.8]div(-14/5)^2

$$4 \frac { 1 } { 2 } \times [ - 3 ^ { 6 } \times ( - \frac { 1 } { 3 } ) ^ { 6 } - 0.8 ] \div ( - 1 \frac { 4 } { 5 } ) ^ { 2 }$$

Evaluate

$$-2.5$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{\frac{8+1}{2}\left(\left(-3^{6}\right)\left(-\frac{1}{3}\right)^{6}-0.8\right)}{\left(-\frac{1\times 5+4}{5}\right)^{2}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{9}{2}\left(\left(-3^{6}\right)\left(-\frac{1}{3}\right)^{6}-0.8\right)}{\left(-\frac{1\times 5+4}{5}\right)^{2}}$$

Calculate 3 to the power of 6 and get 729.

$$\frac{\frac{9}{2}\left(-729\left(-\frac{1}{3}\right)^{6}-0.8\right)}{\left(-\frac{1\times 5+4}{5}\right)^{2}}$$

Calculate -\frac{1}{3} to the power of 6 and get \frac{1}{729}.

$$\frac{\frac{9}{2}\left(-729\times \frac{1}{729}-0.8\right)}{\left(-\frac{1\times 5+4}{5}\right)^{2}}$$

Multiply -729 and \frac{1}{729} to get -1.

$$\frac{\frac{9}{2}\left(-1-0.8\right)}{\left(-\frac{1\times 5+4}{5}\right)^{2}}$$

Subtract 0.8 from -1 to get -1.8.

$$\frac{\frac{9}{2}\left(-1.8\right)}{\left(-\frac{1\times 5+4}{5}\right)^{2}}$$

Multiply \frac{9}{2} and -1.8 to get -\frac{81}{10}.

$$\frac{-\frac{81}{10}}{\left(-\frac{1\times 5+4}{5}\right)^{2}}$$

Multiply 1 and 5 to get 5.

$$\frac{-\frac{81}{10}}{\left(-\frac{5+4}{5}\right)^{2}}$$

Add 5 and 4 to get 9.

$$\frac{-\frac{81}{10}}{\left(-\frac{9}{5}\right)^{2}}$$

Calculate -\frac{9}{5} to the power of 2 and get \frac{81}{25}.

$$\frac{-\frac{81}{10}}{\frac{81}{25}}$$

Divide -\frac{81}{10} by \frac{81}{25} by multiplying -\frac{81}{10} by the reciprocal of \frac{81}{25}.

$$-\frac{81}{10}\times \frac{25}{81}$$

Multiply -\frac{81}{10} and \frac{25}{81} to get -\frac{5}{2}.

$$-\frac{5}{2}$$

Factor

$$-2.5$$