SOLUTION: Divide and simplify. X to the negative 6 power and this is divided by X to the negative second power. X-6/X -2

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Question 1123934: Divide and simplify.
X to the negative 6 power and this is divided by X to the negative second power.
X-6/X -2
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
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.

https://mathbitsnotebook.com/Algebra1/Exponents/EXoutline.html