Solve 27*5^2*(-4)^2/3^3*125*2^3

$$\frac { 27 \times 5 ^ { 2 } \times ( - 4 ) ^ { 2 } } { 3 ^ { 3 } \times 125 \times 2 ^ { 3 } }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{27\times 25\left(-4\right)^{2}}{3^{3}\times 125\times 2^{3}}$$

Multiply 27 and 25 to get 675.

$$\frac{675\left(-4\right)^{2}}{3^{3}\times 125\times 2^{3}}$$

Calculate -4 to the power of 2 and get 16.

$$\frac{675\times 16}{3^{3}\times 125\times 2^{3}}$$

Multiply 675 and 16 to get 10800.

$$\frac{10800}{3^{3}\times 125\times 2^{3}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{10800}{27\times 125\times 2^{3}}$$

Multiply 27 and 125 to get 3375.

$$\frac{10800}{3375\times 2^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{10800}{3375\times 8}$$

Multiply 3375 and 8 to get 27000.

$$\frac{10800}{27000}$$

Reduce the fraction \frac{10800}{27000} to lowest terms by extracting and canceling out 5400.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$