Solve 2^6*3^6/6^26^3

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

Evaluate

$$6$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\frac{2^{6}\times 3^{6}}{6^{5}}$$

Calculate 2 to the power of 6 and get 64.

$$\frac{64\times 3^{6}}{6^{5}}$$

Calculate 3 to the power of 6 and get 729.

$$\frac{64\times 729}{6^{5}}$$

Multiply 64 and 729 to get 46656.

$$\frac{46656}{6^{5}}$$

Calculate 6 to the power of 5 and get 7776.

$$\frac{46656}{7776}$$

Divide 46656 by 7776 to get 6.

$$6$$

Factor

$$2\times 3$$