Question

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Answer 1

Answer:

$a^-^7$

Step-by-step explanation:

$\frac{a^{-13}}{a^{-6}}$

$\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

$=a^{-13-\left(-6\right)}$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=a^{-13+6}$

$\mathrm{Add/Subtract\:the\:numbers:}\:-13+6=-7$

$=a^{-7}$

Answer $=a^{-7}$

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