Question

Simplify the expression $\frac{-4ab}{21c}·\frac{14c^2}{18a^2}$.

Short answer

The simplified value of expression is $-\frac{4bc}{27a}$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is $\frac{-4ab}{21c}·\frac{14c^2}{18a^2}$.

Step 2. Simplify the expression.

The given expression $\frac{-4ab}{21c}·\frac{14c^2}{18a^2}$is simplified as:

$\begin{array}{l}\frac{-4ab}{21c}\cdot \frac{14c^2}{18a^2}=\left(\frac{-4\times 14}{21\times 18}\right)\cdot \left(\frac{ab{c}^2}{a^{2}c}\right)\\ =\left(\frac{-4}{27}\right)\cdot \left(\frac{ab{c}^2}{a^{2}c}\right)\\ =-\frac{4bc}{27a}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $-\frac{4bc}{27a}$.