My Mac power cord was frayed and the wiring was exposed at the wall wort.  I reinforced the cord by cutting it, fitting some shrink tubing over the worn area, and soldering the cord back together.

Tools needed:
-wire cutters/stripper
-soldering gun & solder
-shrink tubing and heat source (lighter)
-soldering helper

Step 1: Cut the cord

Obviously, unplug the power cord first.  I cut my cord about a foot from the wall wort and then stripped the cord to expose the wiring.
<p>Way easier alternative: Liquid Electrical Tape</p><p>If you're like me and like repairing things before they get completely wrecked, heres your answer. If your sheath layer starts to crack its time to apply Liquid electrical tape. </p><p>First Step: Cut off the section of cord sheath that is damaged.</p><p>Second Step: Apply 2-4 layers of Liquid Electrical Tape over the course of about 2 hours so that no more damage ends of the sheath are visible and the tape is slightly thicker than the original cord. This should completely cover up the steel wool layer.</p><p>What you need: News Paper to keep your surface paint free, Jar of Liquid Electrical Tape (Brush should be included inside the jars lid), Something to hold your cord in place and elevated while it dries.</p><p>Heres a link to the black stuff (Comes in white, red, and green also)</p><p>It can be found at Home Depot and I assume any other stores like it in the electrical section.</p><p><a href="http://www.hardwarestore.com/liquid-electrical-tape-640685.aspx?utm_source=pla&utm_medium=cpc&utm_term=brand=gb%20electrical%20and%20adwords_labels=electrical&utm_campaign=rkg&device=c&network=g&matchtype=&creative=20650489458&adpos=1o6" rel="nofollow">http://www.hardwarestore.com/liquid-electrical-tap...</a></p>
It is better to stagger the solder points so they aren't side by side. Also you can add some epoxy under the heatshrink for more strength, especially if you add some stiff object like an additional piece of scrap wire or plastic for strength, a splint essentially.

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