Question

simplify. express your answer using positive exponents. \\(\frac{a^{9}}{a^{2}}\\)

Explanation:

Step1: Apply exponent rule for division

When dividing exponents with the same base, we subtract the exponents: $\frac{a^m}{a^n} = a^{m - n}$. Here, $m = 9$ and $n = 2$.
$$\frac{a^9}{a^2}=a^{9 - 2}$$

Step2: Calculate the exponent

Subtract the exponents: $9 - 2 = 7$.
$$a^{9 - 2}=a^7$$

Answer:

$a^7$