Solve 18.2^2/2^4+81

$$\frac { 18.2 ^ { 2 } } { 2 ^ { 4 } + 81 }$$

Evaluate

$$\frac{8281}{2425}\approx 3.414845361$$

Solution Steps

Calculate 18.2 to the power of 2 and get 331.24.

$$\frac{331.24}{2^{4}+81}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{331.24}{16+81}$$

Add 16 and 81 to get 97.

$$\frac{331.24}{97}$$

Expand \frac{331.24}{97} by multiplying both numerator and the denominator by 100.

$$\frac{33124}{9700}$$

Reduce the fraction \frac{33124}{9700} to lowest terms by extracting and canceling out 4.

$$\frac{8281}{2425}$$

Factor

$$\frac{7 ^ {2} \cdot 13 ^ {2}}{97 \cdot 5 ^ {2}} = 3\frac{1006}{2425} = 3.414845360824742$$