Solve 100^6/6^6

$$\frac{ { 100 }^{ 6 } }{ { 6 }^{ 6 } }$$

Evaluate

$$\frac{15625000000}{729}\approx 21433470.507544582$$

Solution Steps

Calculate 100 to the power of 6 and get 1000000000000.

$$\frac{1000000000000}{6^{6}}$$

Calculate 6 to the power of 6 and get 46656.

$$\frac{1000000000000}{46656}$$

Reduce the fraction \frac{1000000000000}{46656} to lowest terms by extracting and canceling out 64.

$$\frac{15625000000}{729}$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {12}}{3 ^ {6}} = 21433470\frac{370}{729} = 21433470.50754458$$