Question

Simplify: $3.6a^3{b}^{2}c÷1.2a{b}^2{c}^3$.

Answer 1

Simplifying the algebraic expression

The given expression is $3.6a^3{b}^{2}c÷1.2a{b}^2{c}^3$

Here, we have to divide a monomial by another monomial.

We know that,

Quotient of two monomials $=$ (Quotient of their numerical coefficients) (Quotient of their literal coefficients)

Therefore,

$\begin{array}{rcl}3.6a^3{b}^{2}c÷1.2a{b}^2{c}^3& =& \frac{3.6\times a^3\times b^2\times c}{1.2\times a\times b^2\times c^3}\\ & =& \frac{3\times a^2}{c^2}\\ & =& \frac{3a^2}{c}\end{array}$

Therefore, simplified result is $\frac{3a^2}{c^2}$.