Question 1123934
your expression is x^-6 / x^-2


this would be equal to x^(-6 - -2) which is equal to x^(-6 + 2) which is equal to x^(-4).


x^-4 is equal to 1 / x^4.


the rules for exponent arithmetic are:


x^a * x^b = x^(a + b)


x^a / x^b = x^(a - b)


(x^a)^b = x^(a*b)


(x^a * x^b)^c = x^(a*c) * x^(b*c)


(x^a / x^b)^c = x^(a*c) / x^(b*c)


x^-a = 1 / x^a


1 / x^-a = x^a


here's a reference you might find helpful.


<a href = "https://mathbitsnotebook.com/Algebra1/Exponents/EXoutline.html" target = "_blank">https://mathbitsnotebook.com/Algebra1/Exponents/EXoutline.html</a>