Solve 6*3^-2/2-4

$$6 \cdot \frac { 3 ^ { - 2 } } { 2 - 4 }$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$6\times \frac{\frac{1}{9}}{2-4}$$

Subtract 4 from 2 to get -2.

$$6\times \frac{\frac{1}{9}}{-2}$$

Express \frac{\frac{1}{9}}{-2} as a single fraction.

$$6\times \frac{1}{9\left(-2\right)}$$

Multiply 9 and -2 to get -18.

$$6\times \frac{1}{-18}$$

Fraction \frac{1}{-18} can be rewritten as -\frac{1}{18} by extracting the negative sign.

$$6\left(-\frac{1}{18}\right)$$

Multiply 6 and -\frac{1}{18} to get -\frac{1}{3}.

$$-\frac{1}{3}$$

Factor

$$-\frac{1}{3} = -0.3333333333333333$$