Solve 2^4*3^6*2^5*3^7

$$2 ^ { 4 } \times 3 ^ { 6 } \times 2 ^ { 5 } \times 3 ^ { 7 }$$

Evaluate

$$816293376$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.

$$2^{9}\times 3^{6}\times 3^{7}$$

To multiply powers of the same base, add their exponents. Add 6 and 7 to get 13.

$$2^{9}\times 3^{13}$$

Calculate 2 to the power of 9 and get 512.

$$512\times 3^{13}$$

Calculate 3 to the power of 13 and get 1594323.

$$512\times 1594323$$

Multiply 512 and 1594323 to get 816293376.

$$816293376$$

Factor

$$2^{9}\times 3^{13}$$