Question

Which expressions are equivalent to the expression below? Check all that apply. x^-6/x^4=

Answer 1

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

Answer 2

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)

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Using these rules, you have ...

  $\dfrac{x^{-6}}{x^4}=(x^{-6})(x^{-4})=x^{-6-4}\\\\=x^{-10}=\dfrac{1}{x^{10}}$

These forms match choices C and E.