\frac{ {a}^( - 1) + {b}^( - 1) }{ {b}^( - 1) } how do I solve this?​

Question

`\frac{ {a}^( - 1) + {b}^( - 1) }{ {b}^( - 1) }`
how do I solve this?​

Answer 1

`(a+b)/(a)`

Explanation:

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

`(a^(-1)+b^(-1))/(b^(-1))=(b(a^(-1)+b^(-1)))/(b(b^(-1)))=(b)/(a)+1=\boxed{(a+b)/(a)}`

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The applicable rules of exponents are ...

b^-1 = 1/b

(a^b)(a^c) = a^(b+c)