Solve 3.14*(3.5/4)^4

$$3.14 \times ( \frac { 3.5 } { 4 } ) ^ { 4 }$$

Evaluate

$$1.8406103515625$$

Solution Steps

Expand \frac{3.5}{4} by multiplying both numerator and the denominator by 10.

$$3.14\times \left(\frac{35}{40}\right)^{4}$$

Reduce the fraction \frac{35}{40} to lowest terms by extracting and canceling out 5.

$$3.14\times \left(\frac{7}{8}\right)^{4}$$

Calculate \frac{7}{8} to the power of 4 and get \frac{2401}{4096}.

$$3.14\times \frac{2401}{4096}$$

Multiply 3.14 and \frac{2401}{4096} to get \frac{376957}{204800}.

$$\frac{376957}{204800}$$

Factor

$$\frac{157 \cdot 7 ^ {4}}{2 ^ {13} \cdot 5 ^ {2}} = 1\frac{172157}{204800} = 1.8406103515625$$