Solve 12^2*9^3/6^3*4^2

$$\frac { 12 ^ { 2 } \times 9 ^ { 3 } } { 6 ^ { 3 } \times 4 ^ { 2 } }$$

Evaluate

$$\frac{243}{8}=30.375$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$\frac{144\times 9^{3}}{6^{3}\times 4^{2}}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{144\times 729}{6^{3}\times 4^{2}}$$

Multiply 144 and 729 to get 104976.

$$\frac{104976}{6^{3}\times 4^{2}}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{104976}{216\times 4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{104976}{216\times 16}$$

Multiply 216 and 16 to get 3456.

$$\frac{104976}{3456}$$

Reduce the fraction \frac{104976}{3456} to lowest terms by extracting and canceling out 432.

$$\frac{243}{8}$$

Factor

$$\frac{3 ^ {5}}{2 ^ {3}} = 30\frac{3}{8} = 30.375$$