Answer like this:
Firstly, a negative balance of trades is not a bad thing. All it means is that you’re losing money, but you’re gaining goods. Now since money is just a medium of exchange, and is only a means to an end, then the fact that American consumers are able to import cheap foreign goods, is a great boon. Dollars aren’t going to feed you, and they’re not going to warm your house (well you could burn them, might be cheaper than paper the way things are going), the things you can buy with your dollars are what matters.
Secondly, the export hike is short lived, as inflation catches up on the domestic front, raising production costs in just a few months, and cancelling out any positive effects in terms of exports. At the same time, people who consume these goods and services domestically face higher prices.
Which leads to the third point, namely that the well being of your consumers at home must come about as a top priority in policy legislation, certainly well above the exports of corporations. Whenever you inflate and weaken the dollar, the exporting corporations gain in the short term, and lose out in the long-term. The consumers however, lose out in both the short, and the long-term.
Fourth, you must understand that the balance of trades deficit was not caused by a strong dollar, and so the problem will not be fixed by weakening the dollar. The problem was caused by over-regulation, over-taxation, imposition of minimum wages, and subsidisation of unprofitable and unproductive industries at the expense of profitable ones (how else would the government raise the tax money). Hence, the solution lies elsewhere.
Concluding, the idea that debasing a currency will increase exports, and that this is somehow a good thing for the average Joe, is a big lie, just like the lie of the Federal Reserve, and that of Fractional reserve banking. All of these lies have been planted in the consciousness of people through the media and phony economics text books for the past century, all for the purpose of creating a system which causes a net flow of wealth from the middle and lower class, to the upper class. In other words, re-distribution of wealth. Back in the old days, the mechanics by which the dollar is now weakened were called counterfeit, now it’s called “Stimulating domestic propensities to consume through lower interest rates, while helping exporters”. How better to mask a system of stealth taxes, than by making it out as though they benefit the consumer, and the businesses.