Question

simplify. express your answer as a single term, without a denominator.
$r^{3}s\cdot rs^{-1}$

Explanation:

Step1: Group like variables

$r^3 s \cdot r s^{-1} = (r^3 \cdot r) \cdot (s \cdot s^{-1})$

Step2: Add exponents for same base

For $r$: $r^{3+1} = r^4$; For $s$: $s^{1+(-1)} = s^0$

Step3: Simplify zero exponent

$s^0 = 1$

Answer:

$r^4$