Question

simplify. express your answer using positive exponents. \\(\frac{p^9}{p^6}\\)

Explanation:

Step1: Apply exponent rule

When dividing exponents with the same base, subtract the exponents: $\frac{a^m}{a^n}=a^{m - n}$. Here, $a = p$, $m = 9$, $n = 6$.
So, $\frac{p^9}{p^6}=p^{9 - 6}$.

Step2: Calculate the exponent

$9 - 6 = 3$, so $p^{9 - 6}=p^3$.

Answer:

$p^3$