The biggest economy in Africa is undoubtly the Republic of South Africa (South Africa) The South African GDP was $467.6 billion in the year 2007 and the global rank of South Africa was 27th. Egypt's GDP in 2007 was $431.9 billion and Egypt's global rank was 29. Egypt got the second biggest economy in Africa.
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In terms of power in general, the US. It has the strongest economy, armed forces, etc.
Apparently, California supplies 13% of the US' GPD, and is the world's 5th largest supplier of food and agriculture commodities.
If ranked among the countries, in 2006 it was the world's eighth largest economy, just behind Italy and in front of Canada and Spain.
Economic theory holding that if a government provides benefits to big business and tax breaks to the wealthy and investors, those benefits eventually filter down to the lower classes. This discredited theory was also known as "voodoo" economics.
Corrected Portion: The theory is that by freeing up taxation and regulation on those who produce goods and services (aka the supply-siders, aka the rich), demand increases, markets churn, and as a result employment increases and more money is sent to the Fed, increasing revenues; therefore, cutting taxes at the top 'trickles down' to benefit almost everyone.
It is similar in meaning to the phrase "supply-side economics," which was employed by presidents Kennedy and Reagan (arguably the two most popular and successful presidents in modern times) as well as Presidents Clinton and G.W. Bush (who, before the housing crisis, saw 52 straight months of economic growth under his watch). Historically speaking it has worked every time it's been tried. Hope this helps.