Solve 8^2/6*3^6/6

$$\frac{ { 8 }^{ 2 } }{ 6 } \times \frac{ { 3 }^{ 6 } }{ 6 }$$

Evaluate

$$1296$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

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

Reduce the fraction \frac{64}{6} to lowest terms by extracting and canceling out 2.

$$\frac{32}{3}\times \frac{3^{6}}{6}$$

Calculate 3 to the power of 6 and get 729.

$$\frac{32}{3}\times \frac{729}{6}$$

Reduce the fraction \frac{729}{6} to lowest terms by extracting and canceling out 3.

$$\frac{32}{3}\times \frac{243}{2}$$

Multiply \frac{32}{3} times \frac{243}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 243}{3\times 2}$$

Do the multiplications in the fraction \frac{32\times 243}{3\times 2}.

$$\frac{7776}{6}$$

Divide 7776 by 6 to get 1296.

$$1296$$

Factor

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