Respuesta :

Answer:

[tex]$ y^6 $[/tex]

Step-by-step explanation:

[tex]$ \frac{a^b}{a^c} = a^{b - c} $[/tex]

Using this rule we have:

[tex]$ \frac{y^{-7}}{y^{-13}}  = y^{-7 -(-13)} = y^6$[/tex]

sqdancefan

Answer:

  [tex]y^6[/tex]

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex]y^ay^b=y^{a+b}\\\\\dfrac{1}{y^{-a}}=y^a[/tex]

Using these rules, you can write the expression as ...

  [tex]\dfrac{y^{-7}}{y^{-13}}=y^{-7-(-13)}=y^6[/tex]