Solve 45x/2*6*10^-3

$$\frac { 45 x } { 2 } \times 6 \times 10 ^ { - 3 }$$

Evaluate

$$\frac{27x}{200}$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{45x}{2}\times 6\times \frac{1}{1000}$$

Multiply 6 and \frac{1}{1000} to get \frac{3}{500}.

$$\frac{45x}{2}\times \frac{3}{500}$$

Multiply \frac{45x}{2} times \frac{3}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45x\times 3}{2\times 500}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3\times 9x}{2\times 100}$$

Multiply 3 and 9 to get 27.

$$\frac{27x}{2\times 100}$$

Multiply 2 and 100 to get 200.

$$\frac{27x}{200}$$

Differentiate w.r.t. x

$$\frac{27}{200} = 0.135$$