Solve 36^6/27^5*8^5

$$\frac { 36 ^ { 6 } } { 27 ^ { 5 } \cdot 8 ^ { 5 } }$$

Evaluate

$$\frac{1}{216}\approx 0.00462963$$

Solution Steps

Calculate 36 to the power of 6 and get 2176782336.

$$\frac{2176782336}{27^{5}\times 8^{5}}$$

Calculate 27 to the power of 5 and get 14348907.

$$\frac{2176782336}{14348907\times 8^{5}}$$

Calculate 8 to the power of 5 and get 32768.

$$\frac{2176782336}{14348907\times 32768}$$

Multiply 14348907 and 32768 to get 470184984576.

$$\frac{2176782336}{470184984576}$$

Reduce the fraction \frac{2176782336}{470184984576} to lowest terms by extracting and canceling out 2176782336.

$$\frac{1}{216}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3 ^ {3}} = 0.004629629629629629$$