Solve frac{2^{2}+3^3+4^2}{2^4*3^2}

$$\frac { 2 ^ { 2 } + 3 ^ { 3 } + 4 ^ { 2 } } { 2 ^ { 4 } * 3 ^ { 2 } }$$

Evaluate

$$\frac{47}{144}\approx 0.326388889$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{4+3^{3}+4^{2}}{2^{4}\times 3^{2}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{4+27+4^{2}}{2^{4}\times 3^{2}}$$

Add 4 and 27 to get 31.

$$\frac{31+4^{2}}{2^{4}\times 3^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{31+16}{2^{4}\times 3^{2}}$$

Add 31 and 16 to get 47.

$$\frac{47}{2^{4}\times 3^{2}}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{47}{16\times 3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{47}{16\times 9}$$

Multiply 16 and 9 to get 144.

$$\frac{47}{144}$$

Factor

$$\frac{47}{2 ^ {4} \cdot 3 ^ {2}} = 0.3263888888888889$$