Question

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

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, the base is $k$, $m=-2$ and $n = - 9$. So we have $k^{-2-(-9)}$.

Step2: Simplify the exponent

Simplify the exponent: $-2-(-9)=-2 + 9=7$. So the expression becomes $k^{7}$.

Answer:

$k^{7}$