GMAT If x and y are positive integers,and x^3*y^4=2000.What
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GMAT If x and y are positive integers,and x^3*y^4=2000.What is the value of xy?
这个...有木有技巧...
这个...有木有技巧...
![GMAT If x and y are positive integers,and x^3*y^4=2000.What](/uploads/image/z/3479649-33-9.jpg?t=GMAT+If+x+and+y+are+positive+integers%2Cand+x%5E3%2Ay%5E4%3D2000.What)
对2000进行分解质因数,得到2000=2*2*2*2*5*5*5
然后对分解的得到数进行组合,刚好x=5,y=2
所以xy=10
如果只是针对这道题的话,x^3*y^4=(xy)^3*y
而2000=10^3*2,所以xy=10
然后对分解的得到数进行组合,刚好x=5,y=2
所以xy=10
如果只是针对这道题的话,x^3*y^4=(xy)^3*y
而2000=10^3*2,所以xy=10
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