Question

simplify. express your answer using positive exponents.
$\frac{2r^{-9}}{2r^{5}}$

Explanation:

Step1: Divide the coefficients

$\frac{2}{2}=1$

Step2: Use exponent - division rule

When dividing like - bases $a^m\div a^n=a^{m - n}$, for $a = r$, $m=-9$ and $n = 5$. So $r^{-9}\div r^{5}=r^{-9 - 5}=r^{-14}$.

Step3: Convert negative exponent to positive

$r^{-14}=\frac{1}{r^{14}}$. Since the coefficient is 1, the simplified form is $\frac{1}{r^{14}}$.

Answer:

$\frac{1}{r^{14}}$