Solve 36^315^2/18^410^3

$$\frac{ { 36 }^{ 3 } { 15 }^{ 2 } }{ { 18 }^{ 4 } { 10 }^{ 3 } }$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

Calculate 36 to the power of 3 and get 46656.

$$\frac{46656\times 15^{2}}{18^{4}\times 10^{3}}$$

Calculate 15 to the power of 2 and get 225.

$$\frac{46656\times 225}{18^{4}\times 10^{3}}$$

Multiply 46656 and 225 to get 10497600.

$$\frac{10497600}{18^{4}\times 10^{3}}$$

Calculate 18 to the power of 4 and get 104976.

$$\frac{10497600}{104976\times 10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{10497600}{104976\times 1000}$$

Multiply 104976 and 1000 to get 104976000.

$$\frac{10497600}{104976000}$$

Reduce the fraction \frac{10497600}{104976000} to lowest terms by extracting and canceling out 10497600.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$