Solve 9^5*4^3/27^4*2^5

$$\frac { 9 ^ { 5 } \cdot 4 ^ { 3 } } { 27 ^ { 4 } \cdot 2 ^ { 5 } }$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Calculate 9 to the power of 5 and get 59049.

$$\frac{59049\times 4^{3}}{27^{4}\times 2^{5}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{59049\times 64}{27^{4}\times 2^{5}}$$

Multiply 59049 and 64 to get 3779136.

$$\frac{3779136}{27^{4}\times 2^{5}}$$

Calculate 27 to the power of 4 and get 531441.

$$\frac{3779136}{531441\times 2^{5}}$$

Calculate 2 to the power of 5 and get 32.

$$\frac{3779136}{531441\times 32}$$

Multiply 531441 and 32 to get 17006112.

$$\frac{3779136}{17006112}$$

Reduce the fraction \frac{3779136}{17006112} to lowest terms by extracting and canceling out 1889568.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$