Solve 11/5*[(-11/4)+(-33/4)^5]=

$$1 \frac { 1 } { 5 } \times [ ( - 1 \frac { 1 } { 4 } ) + ( - 3 \frac { 3 } { 4 } ) ^ { 5 } ] =$$

Evaluate

$$-\frac{456393}{512}=-891.392578125$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 1 to get 6.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 3 and 4 to get 12.

$$\frac{6}{5}\left(-\frac{5}{4}+\left(-\frac{12+3}{4}\right)^{5}\right)$$

Add 12 and 3 to get 15.

$$\frac{6}{5}\left(-\frac{5}{4}+\left(-\frac{15}{4}\right)^{5}\right)$$

Calculate -\frac{15}{4} to the power of 5 and get -\frac{759375}{1024}.

$$\frac{6}{5}\left(-\frac{5}{4}-\frac{759375}{1024}\right)$$

Subtract \frac{759375}{1024} from -\frac{5}{4} to get -\frac{760655}{1024}.

$$\frac{6}{5}\left(-\frac{760655}{1024}\right)$$

Multiply \frac{6}{5} and -\frac{760655}{1024} to get -\frac{456393}{512}.

$$-\frac{456393}{512}$$

Factor

$$-\frac{456393}{512} = -891\frac{201}{512} = -891.392578125$$