Question

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Answer 1

`a^-^7`

Explanation:

`(a^(-13))/(a^(-6))`

`\mathrm{Apply\:exponent\:rule}:\quad (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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