Answer to Question #3407 in Real Analysis for junel

Question

If a ≠ 0 and b ≠ 0, show that (1/ab) = (1/a)(1/b).

Answer 1

<img src="/cgi-bin/mimetex.cgi?%5Cfrac%7B1%7D%7Bab%7D%20=%20%5Cfrac%7B1%20%5Ctimes%201%7D%7Ba%20%5Ctimes%20b%7D%20=%20%5Cfrac%7B1%7D%7Ba%7D%20%5Cfrac%7B1%7D%7Bb%7D" title="\frac{1}{ab} = \frac{1 \times 1}{a \times b} = \frac{1}{a} \frac{1}{b}">