Question

b%7D%5E%7B%20-%201%7D%20%7D%20" id="TexFormula1" title=" \frac{ {a}^{ - 1} + {b}^{ - 1} }{ {b}^{ - 1} } " alt=" \frac{ {a}^{ - 1} + {b}^{ - 1} }{ {b}^{ - 1} } " align="absmiddle" class="latex-formula">
how do I solve this?​

Answer 1

Answer:

  $\dfrac{a+b}{a}$

Step-by-step explanation:

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

  $\dfrac{a^{-1}+b^{-1}}{b^{-1}}=\dfrac{b(a^{-1}+b^{-1})}{b(b^{-1})}=\dfrac{b}{a}+1=\boxed{\dfrac{a+b}{a}}$

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The applicable rules of exponents are ...

  b^-1 = 1/b

  (a^b)(a^c) = a^(b+c)