Solve 32^6+92^2/24^3

$$\frac { 32 ^ { 6 } + 92 ^ { 2 } } { 24 ^ { 3 } }$$

Evaluate

$$\frac{67109393}{864}\approx 77672.908564815$$

Solution Steps

Calculate 32 to the power of 6 and get 1073741824.

$$\frac{1073741824+92^{2}}{24^{3}}$$

Calculate 92 to the power of 2 and get 8464.

$$\frac{1073741824+8464}{24^{3}}$$

Add 1073741824 and 8464 to get 1073750288.

$$\frac{1073750288}{24^{3}}$$

Calculate 24 to the power of 3 and get 13824.

$$\frac{1073750288}{13824}$$

Reduce the fraction \frac{1073750288}{13824} to lowest terms by extracting and canceling out 16.

$$\frac{67109393}{864}$$

Factor

$$\frac{13 ^ {2} \cdot 29 \cdot 13693}{2 ^ {5} \cdot 3 ^ {3}} = 77672\frac{785}{864} = 77672.90856481482$$