Solve 12^49^34/3^32^427

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

Evaluate

$$5184$$

Solution Steps

Calculate 12 to the power of 4 and get 20736.

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

Calculate 9 to the power of 3 and get 729.

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

Multiply 20736 and 729 to get 15116544.

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

Multiply 15116544 and 4 to get 60466176.

$$\frac{60466176}{3^{3}\times 2^{4}\times 27}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{60466176}{27\times 2^{4}\times 27}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{60466176}{27\times 16\times 27}$$

Multiply 27 and 16 to get 432.

$$\frac{60466176}{432\times 27}$$

Multiply 432 and 27 to get 11664.

$$\frac{60466176}{11664}$$

Divide 60466176 by 11664 to get 5184.

$$5184$$

Factor

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