Chapter 8.CM, Problem 1CM

To determine

The value of the algebraic expression for the given values of the variables.

Answer to Problem 1CM

Solution:

The value of the algebraic expression for the given values of the variables is $\frac{64}{15}$.

Explanation of Solution

Given:

The given algebraic expression is,

$\frac{4a^2{b}^3}{12a^{3}b}$

And,

The given values of variables are,

$a=5$ and $b=-8$

Calculation:

Consider the given algebraic expression.

$\frac{4a^2{b}^3}{12a^{3}b}$

Substitute $5$ for $a$ and $-8$ for $b$ in the above expression.

$\begin{array}{rll}\frac{4a^2{b}^3}{12a^{3}b}& =& \frac{4{\left(5\right)}^2{\left(-8\right)}^3}{12{\left(5\right)}^3\left(-8\right)}\\ & =& \frac{{\left(-8\right)}^2}{3\times 5}\\ & =& \frac{64}{15}\end{array}$

Conclusion:

Thus, the value of the algebraic expression for the given values of the variables is $\frac{64}{15}$.