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
Algebra.Com
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) (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
RELATED QUESTIONS
Evaluate: negative x to the negative second power plus negative x to the second power... (answered by Boreal)
This question is a teacher made up question and does not come from my book:
Simplify the (answered by ptaylor)
what is 1 x 10 to the second power divided by 1 x 10 to the negative 3... (answered by rfer,Alan3354)
what is x to the negative 4th power divided by x to the negative... (answered by palanisamy)
2x to the power of negative 3 y power 0 z power of negative 7
Over 3 power of negative 2 (answered by ankor@dixie-net.com)
what is x to the seventh power divided by x to the negative second power? The book says... (answered by ankor@dixie-net.com)
what is the solution for three x negative 3 y negative 1 over 6 negative 1 x to the... (answered by Edwin McCravy)
x to the negative 3 power y to the fourth power divided by -2 to the negative 2 power x... (answered by ikleyn)
4y to the negative 2 power divided by x to the fourth power all times -2... (answered by Alan3354)