which expression is equivalent to $\frac{r^{9}}{r^{3}}$?\n$r^{3}$\n$r^{6}$\n$r^{12}$\n$r^{27}$
which expression is equivalent to $\frac{r^{9}}{r^{3}}$?\n$r^{3}$\n$r^{6}$\n$r^{12}$\n$r^{27}$
Answer
Explanation:
Step1: Apply exponent - division rule
When dividing two powers with the same base (a^m\div a^n=a^{m - n}), here (a = r), (m = 9) and (n = 3). So (\frac{r^9}{r^3}=r^{9 - 3}).
Step2: Calculate the exponent
(9-3 = 6), so (r^{9 - 3}=r^6).
Answer:
(r^6)