Q27. - Algebra 2

Question

Simplify  $(-3b^{3}c)\left(7b^2{c}^2\right)$ assuming that no variable equal to  0.

Step-by-Step Solution

Answer

The simplified value of expression is $-21b^5{c}^3$ .

Step 1. Write down the given expression.

The given expression to simplify is $(-3b^{3}c)\left(7b^2{c}^2\right)$ .

Step 2. Simplify the given expression.

Simplifying $(-3b^{3}c)\left(7b^2{c}^2\right)$  gives,

$\begin{array}{c}(-3b^{3}c)\left(7b^2{c}^2\right)=(-3\times 7)\left(b^{3}c\right)\left(b^2{c}^2\right)\\ =-21{\left(b\right)}^{3+2}{\left(c\right)}^{1+2}\mathrm{....}(\text{Using }{x}^a\times x^b=x^{a+b})\\ =-21b^5{c}^3\end{array}$

Step 3. Conclusion.

The simplified value of expression is $-21b^5{c}^3$ .