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

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

Evaluate

$$\frac{125}{2}=62.5$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

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

Cancel out x^{2} in both numerator and denominator.

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

Expand \left(5x\right)^{3}.

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

Calculate 5 to the power of 3 and get 125.

$$\frac{125x^{3}}{2x^{3}}$$

Cancel out x^{3} in both numerator and denominator.

$$\frac{125}{2}$$

Factor

$$\frac{5 ^ {3}}{2} = 62\frac{1}{2} = 62.5$$