Solve (2^{3}*3^{4}*5^4):(3^3*5^3*2^5)

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

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

Cancel out 2^{3}\times 3^{3}\times 5^{3} in both numerator and denominator.

$$\frac{3\times 5}{2^{2}}$$

Multiply 3 and 5 to get 15.

$$\frac{15}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$