Solve =3^3*16*5^2/25*9*10

$$= \frac { 3 ^ { 3 } \cdot 16 \cdot 5 ^ { 2 } } { 25 \cdot 9 \cdot 10 }$$

Evaluate

$$\frac{24}{5}=4.8$$

Solution Steps

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{5\times 8\times 3^{3}}{9\times 25}$$

Cancel out 5 in both numerator and denominator.

$$\frac{8\times 3^{3}}{5\times 9}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{8\times 27}{5\times 9}$$

Multiply 8 and 27 to get 216.

$$\frac{216}{5\times 9}$$

Multiply 5 and 9 to get 45.

$$\frac{216}{45}$$

Reduce the fraction \frac{216}{45} to lowest terms by extracting and canceling out 9.

$$\frac{24}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{5} = 4\frac{4}{5} = 4.8$$