lilybeancat
contestada

Which expressions are equivalent to the expression below? Check all that apply. x^-6/x^4=
A) x^-2
B) x^10
C) x^-10
D) x^-48
E) 1/x^10

Respuesta :

fussellk

x^-6/x^4...first off move the x^-6 to the denominator to make it positive.

1/(x^6)(x^4)

when you multiply you add exponents

1/x^10

sqdancefan

Answer:

  • C) x^-10
  • E) 1/x^10

Step-by-step explanation:

The applicable rules of exponents are ...

  x^-a = 1/x^a

  (x^a)(x^b) = x^(a+b)

___

Using these rules, you have ...

  [tex]\dfrac{x^{-6}}{x^4}=(x^{-6})(x^{-4})=x^{-6-4}\\\\=x^{-10}=\dfrac{1}{x^{10}}[/tex]

These forms match choices C and E.

Otras preguntas