Solve (-7/9)-(+1/6)^7

$$( - \frac { 7 } { 9 } ) - ( + \frac { 1 } { 6 } ) ^ { 7 }$$

Evaluate

$$-\frac{217729}{279936}\approx -0.77778135$$

Solution Steps

Calculate \frac{1}{6} to the power of 7 and get \frac{1}{279936}.

$$-\frac{7}{9}-\frac{1}{279936}$$

Least common multiple of 9 and 279936 is 279936. Convert -\frac{7}{9} and \frac{1}{279936} to fractions with denominator 279936.

$$-\frac{217728}{279936}-\frac{1}{279936}$$

Since -\frac{217728}{279936} and \frac{1}{279936} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-217728-1}{279936}$$

Subtract 1 from -217728 to get -217729.

$$-\frac{217729}{279936}$$

Factor

$$-\frac{217729}{279936} = -0.7777813500228624$$