Question 1043294

If x^12=5000 and (x^11)/y=10, what is the value of xy?
<pre>It would've been nice if it were stated that this should be done WITHOUT a calculator
{{{x^12 = "5,000"}}}
{{{matrix(1,3, x^11/y = 10, "======>", x^11 = 10y)}}} ------- Cross-multiplying
{{{highlight_green(matrix(1,11, x^12 = "5,000", "=====>", x^11 * x = "5,000", "=====>", 10y * x = "5,000", "=====>", 10xy = "5,000", "======>", xy = "5,000"/10, "=====>", highlight(xy = 500)))}}}