Solve 1-41.9^3/8^3

$$1- \frac{ 4 { 1.9 }^{ 3 } }{ { 8 }^{ 3 } }$$

Evaluate

$$0.9464140625$$

Solution Steps

Calculate 1.9 to the power of 3 and get 6.859.

$$1-\frac{4\times 6.859}{8^{3}}$$

Multiply 4 and 6.859 to get 27.436.

$$1-\frac{27.436}{8^{3}}$$

Calculate 8 to the power of 3 and get 512.

$$1-\frac{27.436}{512}$$

Expand \frac{27.436}{512} by multiplying both numerator and the denominator by 1000.

$$1-\frac{27436}{512000}$$

Reduce the fraction \frac{27436}{512000} to lowest terms by extracting and canceling out 4.

$$1-\frac{6859}{128000}$$

Convert 1 to fraction \frac{128000}{128000}.

$$\frac{128000}{128000}-\frac{6859}{128000}$$

Since \frac{128000}{128000} and \frac{6859}{128000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{128000-6859}{128000}$$

Subtract 6859 from 128000 to get 121141.

$$\frac{121141}{128000}$$

Factor

$$\frac{229 \cdot 23 ^ {2}}{2 ^ {10} \cdot 5 ^ {3}} = 0.9464140625$$