Solve 1-1/left(1.10right)^3

$$1- \frac{ 1 }{ { \left(1.10 \right) }^{ 3 } }$$

Evaluate

$$\frac{331}{1331}\approx 0.248685199$$

Solution Steps

Calculate 1.1 to the power of 3 and get 1.331.

$$1-\frac{1}{1.331}$$

Expand \frac{1}{1.331} by multiplying both numerator and the denominator by 1000.

$$1-\frac{1000}{1331}$$

Convert 1 to fraction \frac{1331}{1331}.

$$\frac{1331}{1331}-\frac{1000}{1331}$$

Since \frac{1331}{1331} and \frac{1000}{1331} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1331-1000}{1331}$$

Subtract 1000 from 1331 to get 331.

$$\frac{331}{1331}$$

Factor

$$\frac{331}{11 ^ {3}} = 0.24868519909842224$$