Solve 4^3*3^4+4^4*3^3/112

$$\frac { 4 ^ { 3 } \cdot 3 ^ { 4 } + 4 ^ { 4 } \cdot 3 ^ { 3 } } { 112 }$$

Evaluate

$$108$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$\frac{64\times 3^{4}+4^{4}\times 3^{3}}{112}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{64\times 81+4^{4}\times 3^{3}}{112}$$

Multiply 64 and 81 to get 5184.

$$\frac{5184+4^{4}\times 3^{3}}{112}$$

Calculate 4 to the power of 4 and get 256.

$$\frac{5184+256\times 3^{3}}{112}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{5184+256\times 27}{112}$$

Multiply 256 and 27 to get 6912.

$$\frac{5184+6912}{112}$$

Add 5184 and 6912 to get 12096.

$$\frac{12096}{112}$$

Divide 12096 by 112 to get 108.

$$108$$

Factor

$$2^{2}\times 3^{3}$$