Solve 6^3*4+8^3/12^2

$$\frac { 6 ^ { 3 } \cdot 4 + 8 ^ { 3 } } { 12 ^ { 2 } }$$

Evaluate

$$\frac{86}{9}\approx 9.555555556$$

Solution Steps

Calculate 6 to the power of 3 and get 216.

$$\frac{216\times 4+8^{3}}{12^{2}}$$

Multiply 216 and 4 to get 864.

$$\frac{864+8^{3}}{12^{2}}$$

Calculate 8 to the power of 3 and get 512.

$$\frac{864+512}{12^{2}}$$

Add 864 and 512 to get 1376.

$$\frac{1376}{12^{2}}$$

Calculate 12 to the power of 2 and get 144.

$$\frac{1376}{144}$$

Reduce the fraction \frac{1376}{144} to lowest terms by extracting and canceling out 16.

$$\frac{86}{9}$$

Factor

$$\frac{2 \cdot 43}{3 ^ {2}} = 9\frac{5}{9} = 9.555555555555555$$