Solve ((2*3)*(2*5)*(2*5))/[(-2)^4*(-5)^2]

$$\frac { ( ( 2 \times 3 ) \times ( 2 \times 5 ) \times ( 2 \times 5 ) ) } { [ ( - 2 ) ^ { 4 } \times ( - 5 ) ^ { 2 } ] }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6\times 2\times 5\times 2\times 5}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

Multiply 6 and 2 to get 12.

$$\frac{12\times 5\times 2\times 5}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

Multiply 12 and 5 to get 60.

$$\frac{60\times 2\times 5}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

Multiply 60 and 2 to get 120.

$$\frac{120\times 5}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

Multiply 120 and 5 to get 600.

$$\frac{600}{\left(-2\right)^{4}\left(-5\right)^{2}}$$

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

$$\frac{600}{16\left(-5\right)^{2}}$$

Calculate -5 to the power of 2 and get 25.

$$\frac{600}{16\times 25}$$

Multiply 16 and 25 to get 400.

$$\frac{600}{400}$$

Reduce the fraction \frac{600}{400} to lowest terms by extracting and canceling out 200.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$