Solve 1/3*1/17^3-1/17

$$\frac{ 1 }{ 3 } \times \frac{ 1 }{ { 17 }^{ 3 } } - \frac{ 1 }{ 17 }$$

Evaluate

$$-\frac{866}{14739}\approx -0.058755682$$

Solution Steps

Calculate 17 to the power of 3 and get 4913.

$$\frac{1}{3}\times \frac{1}{4913}-\frac{1}{17}$$

Multiply \frac{1}{3} times \frac{1}{4913} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{3\times 4913}-\frac{1}{17}$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 4913}.

$$\frac{1}{14739}-\frac{1}{17}$$

Least common multiple of 14739 and 17 is 14739. Convert \frac{1}{14739} and \frac{1}{17} to fractions with denominator 14739.

$$\frac{1}{14739}-\frac{867}{14739}$$

Since \frac{1}{14739} and \frac{867}{14739} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-867}{14739}$$

Subtract 867 from 1 to get -866.

$$-\frac{866}{14739}$$

Factor

$$-\frac{866}{14739} = -0.05875568220367732$$