Q. 113 - Intermediate Algebra

Question

$p^5.p^{-2}.p^{-4}$

Step-by-Step Solution

Answer

$p^{-1}$

Step 1 . Given Information

We are given the expression :

$p^5.p^{-2}.p^{-4}$, we need to simplify the expression

Step 2 . Product Property

If $a$ is a real number and $m$ and $n$ are integers, then :

$a^m.a^n=a^{m+n}$

Step 3 . Simplify the expression

Using the Product Property :

$p^5.p^{-2}.p^{-4}=p^{5+(-2)+(-4)}$

      $p^{5-2-4}=p^{5-6}$

                   $=p^{-1}$