Q31. - Algebra 2

Question

Simplify $3a\left(5a^{2}b\right)\left(6a{b}^3\right)$  assuming that no variable equal to0  .

Step-by-Step Solution

Answer

The simplified value of expression is $90a^4{b}^4$ .

Step 1. Write down the given expression.

The given expressiomn to simplify is $3a\left(5a^{2}b\right)\left(6a{b}^3\right)$ .

Step 2. Simplify the given expression.

Simplifying $3a\left(5a^{2}b\right)\left(6a{b}^3\right)$  gives,

$\begin{array}{c}3a\left(5a^{2}b\right)\left(6a{b}^3\right)=(3\times 5\times 6)\left(a\right)\left(a^{2}b\right)\left(a{b}^3\right)\\ =90{\left(a\right)}^{1+2+1}{\left(b\right)}^{1+3}\mathrm{....}(\text{Using }{x}^a\times x^b=x^{a+b})\\ =90a^4{b}^4\end{array}$

Step 3. Conclusion.

The simplified value of expression is $90a^4{b}^4$ .