Solve 12^4*9^3*4/6^3*3^2*27

$$\frac { 12 ^ { 4 } \times 9 ^ { 3 } \times 4 } { 6 ^ { 3 } \times 3 ^ { 2 } \times 27 }$$

Evaluate

$$1152$$

Solution Steps

Calculate 12 to the power of 4 and get 20736.

$$\frac{20736\times 9^{3}\times 4}{6^{3}\times 3^{2}\times 27}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{20736\times 729\times 4}{6^{3}\times 3^{2}\times 27}$$

Multiply 20736 and 729 to get 15116544.

$$\frac{15116544\times 4}{6^{3}\times 3^{2}\times 27}$$

Multiply 15116544 and 4 to get 60466176.

$$\frac{60466176}{6^{3}\times 3^{2}\times 27}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{60466176}{216\times 3^{2}\times 27}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{60466176}{216\times 9\times 27}$$

Multiply 216 and 9 to get 1944.

$$\frac{60466176}{1944\times 27}$$

Multiply 1944 and 27 to get 52488.

$$\frac{60466176}{52488}$$

Divide 60466176 by 52488 to get 1152.

$$1152$$

Factor

$$2^{7}\times 3^{2}$$