Solve {l}{(-4)*[(-6)-(-8)]-(+3)*[(-11)^-4+(+7)]}{[(+5)-(+2)]:[(-8)+(-3)-(-10)]}

$$\left. \begin{array} { l } { ( - 4 ) \cdot [ ( - 6 ) - ( - 8 ) ] - ( + 3 ) \cdot [ ( - 11 ) ^ { - 4 } + ( + 7 ) ] } \\ { [ ( + 5 ) - ( + 2 ) ] : [ ( - 8 ) + ( - 3 ) - ( - 10 ) ] } \end{array} \right.$$

Sort

$$-\frac{424592}{14641},\ -3$$

Solution Steps

The opposite of -8 is 8.

$$sort(-4\left(-6+8\right)-3\left(\left(-11\right)^{-4}+7\right),\frac{5-2}{-8-3-\left(-10\right)})$$

Add -6 and 8 to get 2.

$$sort(-4\times 2-3\left(\left(-11\right)^{-4}+7\right),\frac{5-2}{-8-3-\left(-10\right)})$$

Multiply -4 and 2 to get -8.

$$sort(-8-3\left(\left(-11\right)^{-4}+7\right),\frac{5-2}{-8-3-\left(-10\right)})$$

Calculate -11 to the power of -4 and get \frac{1}{14641}.

$$sort(-8-3\left(\frac{1}{14641}+7\right),\frac{5-2}{-8-3-\left(-10\right)})$$

Add \frac{1}{14641} and 7 to get \frac{102488}{14641}.

$$sort(-8-3\times \frac{102488}{14641},\frac{5-2}{-8-3-\left(-10\right)})$$

Multiply 3 and \frac{102488}{14641} to get \frac{307464}{14641}.

$$sort(-8-\frac{307464}{14641},\frac{5-2}{-8-3-\left(-10\right)})$$

Subtract \frac{307464}{14641} from -8 to get -\frac{424592}{14641}.

$$sort(-\frac{424592}{14641},\frac{5-2}{-8-3-\left(-10\right)})$$

Subtract 2 from 5 to get 3.

$$sort(-\frac{424592}{14641},\frac{3}{-8-3-\left(-10\right)})$$

Subtract 3 from -8 to get -11.

$$sort(-\frac{424592}{14641},\frac{3}{-11-\left(-10\right)})$$

The opposite of -10 is 10.

$$sort(-\frac{424592}{14641},\frac{3}{-11+10})$$

Add -11 and 10 to get -1.

$$sort(-\frac{424592}{14641},\frac{3}{-1})$$

Fraction \frac{3}{-1} can be rewritten as -3 by extracting the negative sign.

$$sort(-\frac{424592}{14641},-3)$$

Convert decimal numbers in the list -\frac{424592}{14641},-3 to fractions.

$$-\frac{424592}{14641},-3$$

Evaluate

$$-\frac{424592}{14641},\ -3$$