Chapter 7.3, Problem 10MRE

To determine

To Express:

In simplest form without negative exponents.

  $\left(x^{2}y\right)\left(x{y}^3\right)$

Answer to Problem 10MRE

  $x^3{y}^4$

Explanation of Solution

Given:

The expression is :

  $\left(x^{2}y\right)\left(x{y}^3\right)$

Formula Used:

  $x^n\cdot x^m=x^{n+m}$

Calculation:

Given:

  $\begin{array}{l}\left(x^{2}y\right)\left(x{y}^3\right)\\ =x^2\cdot x\cdot y\cdot y^3\\ =x^{2+1}\cdot y^{1+3}\mathrm{..................}[x^n\cdot x^m=x^{n+m}]\\ =x^3{y}^4\end{array}$

So,

  $x^3{y}^4$ is the solution.