Solve 1-41.9^3/5^3

$$1- \frac{ 4 { 1.9 }^{ 3 } }{ { 5 }^{ 3 } }$$

Evaluate

$$0.780512$$

Solution Steps

Calculate 1.9 to the power of 3 and get 6.859.

$$1-\frac{4\times 6.859}{5^{3}}$$

Multiply 4 and 6.859 to get 27.436.

$$1-\frac{27.436}{5^{3}}$$

Calculate 5 to the power of 3 and get 125.

$$1-\frac{27.436}{125}$$

Expand \frac{27.436}{125} by multiplying both numerator and the denominator by 1000.

$$1-\frac{27436}{125000}$$

Reduce the fraction \frac{27436}{125000} to lowest terms by extracting and canceling out 4.

$$1-\frac{6859}{31250}$$

Convert 1 to fraction \frac{31250}{31250}.

$$\frac{31250}{31250}-\frac{6859}{31250}$$

Since \frac{31250}{31250} and \frac{6859}{31250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31250-6859}{31250}$$

Subtract 6859 from 31250 to get 24391.

$$\frac{24391}{31250}$$

Factor

$$\frac{24391}{2 \cdot 5 ^ {6}} = 0.780512$$