Solve -3^4+(1/2-1/3)*(1/6)^-2div|-2|

$$- 3 ^ { 4 } + ( \frac { 1 } { 2 } - \frac { 1 } { 3 } ) \times ( \frac { 1 } { 6 } ) ^ { - 2 } \div | - 2 |$$

Evaluate

$$-78$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$-81+\frac{\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}}{|-2|}$$

Subtract \frac{1}{3} from \frac{1}{2} to get \frac{1}{6}.

$$-81+\frac{\frac{1}{6}\times \left(\frac{1}{6}\right)^{-2}}{|-2|}$$

Calculate \frac{1}{6} to the power of -2 and get 36.

$$-81+\frac{\frac{1}{6}\times 36}{|-2|}$$

Multiply \frac{1}{6} and 36 to get 6.

$$-81+\frac{6}{|-2|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.

$$-81+\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$-81+3$$

Add -81 and 3 to get -78.

$$-78$$

Factor

$$-78$$