Question

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

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

• C) x^-10
• E) 1/x^10

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 ...

`(x^(-6))/(x^4)=(x^(-6))(x^(-4))=x^(-6-4)\\\\=x^(-10)=(1)/(x^(10))`

These forms match choices C and E.