Solve 2*3*2*3*2/(3*5)^4*5*2^4=

$$\frac { 2 \cdot 3 \cdot 2 \cdot 3 \cdot 2 } { ( 3 \cdot 5 ) ^ { 4 } \cdot 5 \cdot 2 ^ { 4 } } =$$

Evaluate

$$\frac{1}{56250}\approx 0.000017778$$

Solution Steps

Cancel out 2\times 2\times 2 in both numerator and denominator.

$$\frac{3\times 3}{2\times 5\times \left(3\times 5\right)^{4}}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{2\times 5\times \left(3\times 5\right)^{4}}$$

Multiply 2 and 5 to get 10.

$$\frac{9}{10\times \left(3\times 5\right)^{4}}$$

Multiply 3 and 5 to get 15.

$$\frac{9}{10\times 15^{4}}$$

Calculate 15 to the power of 4 and get 50625.

$$\frac{9}{10\times 50625}$$

Multiply 10 and 50625 to get 506250.

$$\frac{9}{506250}$$

Reduce the fraction \frac{9}{506250} to lowest terms by extracting and canceling out 9.

$$\frac{1}{56250}$$

Factor

$$\frac{1}{2 \cdot 3 ^ {2} \cdot 5 ^ {5}} = 1.7777777777777775 \times 10^{-5}$$