{"status": "success", "data": {"description_md": "The fraction\n$$\\frac{\\left(3^{2008}\\right)^2-\\left(3^{2006}\\right)^2}{\\left(3^{2007}\\right)^2-\\left(3^{2005}\\right)^2}$$\nsimplifies to which of the following?\n\n$\\mathrm{(A)}\\ 1\\qquad\\mathrm{(B)}\\ \\frac{9}{4}\\qquad\\mathrm{(C)}\\ 3\\qquad\\mathrm{(D)}\\ \\frac{9}{2}\\qquad\\mathrm{(E)}\\ 9$", "description_html": "<p>The fraction<br/>\n <span class=\"katex--display\">\\frac{\\left(3^{2008}\\right)^2-\\left(3^{2006}\\right)^2}{\\left(3^{2007}\\right)^2-\\left(3^{2005}\\right)^2}</span> <br/>\nsimplifies to which of the following?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 1\\qquad\\mathrm{(B)}\\ \\frac{9}{4}\\qquad\\mathrm{(C)}\\ 3\\qquad\\mathrm{(D)}\\ \\frac{9}{2}\\qquad\\mathrm{(E)}\\ 9</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2008 AMC 10A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10A_p08", "prev": "/problem/08_amc10A_p06"}}