Question

Please help me out with this

Answer 1

-5^11

Explanation:

`(\left(-5\right)^5)/(\left(-5\right)^(-6))\\\\\mathrm{Apply\:exponent\:rule}:\\\quad (x^a)/(x^b)=x^(a-b)\\\\(\left(-5\right)^5)/(\left(-5\right)^(-6))=\left(-5\right)^(5-\left(-6\right))\\\\=\left(-5\right)^(5-\left(-6\right))\\\\=\left(-5\right)^(5+6)\\\\=\left(-5\right)^(11)\\\\=-5^(11)`