Solve (-2)^3*[-7+(3-1.2*5/6)]

$$( - 2 ) ^ { 3 } \times [ - 7 + ( 3 - 1.2 \times \frac { 5 } { 6 } ) ]$$

Evaluate

$$40$$

Solution Steps

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

$$-8\left(-7+3-1.2\times \frac{5}{6}\right)$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$-8\left(-7+3-\frac{6}{5}\times \frac{5}{6}\right)$$

Cancel out \frac{6}{5} and its reciprocal \frac{5}{6}.

$$-8\left(-7+3-1\right)$$

Subtract 1 from 3 to get 2.

$$-8\left(-7+2\right)$$

Add -7 and 2 to get -5.

$$-8\left(-5\right)$$

Multiply -8 and -5 to get 40.

$$40$$

Factor

$$5\times 2^{3}$$