QUESTION IMAGE
Question
simplify.
rewrite the expression in the form $a^{n}$.
$\frac{a^{-13}}{a^{-6}} = $
Step1: Apply exponent division rule
When dividing like bases, subtract exponents: $\frac{a^m}{a^n}=a^{m-n}$
$\frac{a^{-13}}{a^{-6}}=a^{-13 - (-6)}$
Step2: Simplify the exponent
Calculate the subtraction of exponents:
$a^{-13 + 6}=a^{-7}$
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$a^{-7}$