Rosecake
Rosecake Rosecake
  • 07-07-2020
  • Mathematics
contestada


[tex] \frac{ {a}^{ - 1} + {b}^{ - 1} }{ {b}^{ - 1} } [/tex]
how do I solve this?​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 15-07-2020

Answer:

  [tex]\dfrac{a+b}{a}[/tex]

Step-by-step explanation:

There is nothing to solve. Perhaps you want to simplify the expression.

  [tex]\dfrac{a^{-1}+b^{-1}}{b^{-1}}=\dfrac{b(a^{-1}+b^{-1})}{b(b^{-1})}=\dfrac{b}{a}+1=\boxed{\dfrac{a+b}{a}}[/tex]

_____

The applicable rules of exponents are ...

  b^-1 = 1/b

  (a^b)(a^c) = a^(b+c)

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