Q34. - Algebra 2

Question

Simplify $\frac{2c^{3}d\left(3c^2{d}^5\right)}{30c^4{d}^2}$  assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{c{d}^4}{5}$ .

Step 1. Write down the given expression.

The given expression to simplify is $\frac{2c^{3}d\left(3c^2{d}^5\right)}{30c^4{d}^2}$ .

Step 2. Simplify the given expression.

Simplifying  $\frac{2c^{3}d\left(3c^2{d}^5\right)}{30c^4{d}^2}$ gives,

$\begin{array}{c}\frac{2c^{3}d\left(3c^2{d}^5\right)}{30c^4{d}^2}=\frac{\left(2\right)\left(3\right)c^{3}d\left(c^2{d}^5\right)}{\left(30\right)c^4{d}^2}\\ =\frac{\left(c^{3}d\right)\left(c^2{d}^5\right)}{5\left(c^4{d}^2\right)}\\ =\frac{\left(c^{3+2-4}\right)\left(d^{1+5-2}\right)}{5}\mathrm{....}(\text{Using }\frac{{\left(x\right)}^a{\left(x\right)}^b}{{\left(x\right)}^c}=x^{a+b-c})\\ =\frac{c{d}^4}{5}\end{array}$

Step 3. Conclusion.

The simplified value of expression is  $\frac{c{d}^4}{5}$.