Solve -1^2-1/6*[2-(-3)^2]div(-7)

$$- 1 ^ { 2 } - \frac { 1 } { 6 } \times [ 2 - ( - 3 ) ^ { 2 } ] \div ( - 7 )$$

Evaluate

$$-\frac{7}{6}\approx -1.166666667$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$-1-\frac{\frac{1}{6}\left(2-\left(-3\right)^{2}\right)}{-7}$$

Calculate -3 to the power of 2 and get 9.

$$-1-\frac{\frac{1}{6}\left(2-9\right)}{-7}$$

Subtract 9 from 2 to get -7.

$$-1-\frac{\frac{1}{6}\left(-7\right)}{-7}$$

Multiply \frac{1}{6} and -7 to get \frac{-7}{6}.

$$-1-\frac{\frac{-7}{6}}{-7}$$

Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$-1-\frac{-\frac{7}{6}}{-7}$$

Express \frac{-\frac{7}{6}}{-7} as a single fraction.

$$-1-\frac{-7}{6\left(-7\right)}$$

Cancel out -7 in both numerator and denominator.

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

Convert -1 to fraction -\frac{6}{6}.

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

Since -\frac{6}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -6 to get -7.

$$-\frac{7}{6}$$

Factor

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$