Mathway | Popular Problems

Popular Problems

<
1
...
959
960
961
962
963
...
2396
>

Rank	Topic	Problem	Formatted Problem
96001	Simplify	y^4*y^5	$y^{4} \cdot y^{5}$
96002	Find the Center	4x^2+y^2-8x+4y-8=0	$4 x^{2} + y^{2} - 8 x + 4 y - 8 = 0$
96003	Simplify	z^-3	$z^{- 3}$
96004	Determine if Continuous	f(x)=1/(x^2-25)	$f (x) = \frac{1}{x^{2} - 25}$
96005	Determine if Continuous	f(x)=(x-2)/(x^2+3x+2)	$f (x) = \frac{x - 2}{x^{2} + 3 x + 2}$
96006	Simplify	(x-3)/(x+4)*(x-2)/(x-3)	$\frac{x - 3}{x + 4} \cdot \frac{x - 2}{x - 3}$
96007	Simplify	(x+y)/(y-1)-(y-2)/(y-1)	$\frac{x + y}{y - 1} - \frac{y - 2}{y - 1}$
96008	Simplify	(x-1)/(x^2-1)+2/(5x+5)	$\frac{x - 1}{x^{2} - 1} + \frac{2}{5 x + 5}$
96009	Simplify	(x-1)/(x+5)*(x+1)/(x-5)	$\frac{x - 1}{x + 5} \cdot \frac{x + 1}{x - 5}$
96010	Find the Function Rule	table[[x,y],[-1,7],[0,4],[1,1]]	$\begin{array}{c} x & y \\ - 1 & 7 \\ 0 & 4 \\ 1 & 1 \end{array}$
96011	Simplify	(x+3)/(y-2)+(2x-1)/(y-2)	$\frac{x + 3}{y - 2} + \frac{2 x - 1}{y - 2}$
96012	Simplify	(-7-5i)(2-4i)	$(- 7 - 5 i) (2 - 4 i)$
96013	Simplify	(x^2-7x+12)/(x^2-2x-3)	$\frac{x^{2} - 7 x + 12}{x^{2} - 2 x - 3}$
96014	Find the Function Rule	table[[x,y],[1,6],[2,10.5],[3,15],[4,19.5],[5,24]]	$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 10.5 \\ 3 & 15 \\ 4 & 19.5 \\ 5 & 24 \end{array}$
96015	Simplify	(x+1)/(x^2-25)*(x+5)/(x^2+8x+7)	$\frac{x + 1}{x^{2} - 25} \cdot \frac{x + 5}{x^{2} + 8 x + 7}$
96016	Simplify	x^9*x^5	$x^{9} \cdot x^{5}$
96017	Find the Function Rule	table[[x,f(x)],[1,-4],[3,-1],[4,3]]	$\begin{array}{c} x & f (x) \\ 1 & - 4 \\ 3 & - 1 \\ 4 & 3 \end{array}$
96018	Simplify	x^9*x^-7	$x^{9} \cdot x^{- 7}$
96019	Find the Function Rule	table[[x,y],[-12,21],[1,-1.75],[16,-28]]	$\begin{array}{c} x & y \\ - 12 & 21 \\ 1 & - 1.75 \\ 16 & - 28 \end{array}$
96020	Simplify	x^7y^-4	$x^{7} y^{- 4}$
96021	Find the Function Rule	table[[x,y],[-2,10],[0,6],[3,0]]	$\begin{array}{c} x & y \\ - 2 & 10 \\ 0 & 6 \\ 3 & 0 \end{array}$
96022	Simplify	(x+1)/(x-2)-(4x+7)/(5x-10)	$\frac{x + 1}{x - 2} - \frac{4 x + 7}{5 x - 10}$
96023	Simplify	x^2+49	$x^{2} + 49$
96024	Find the Function Rule	table[[x,y],[2,8],[3,27],[4,64]]	$\begin{array}{c} x & y \\ 2 & 8 \\ 3 & 27 \\ 4 & 64 \end{array}$
96025	Find the Function Rule	table[[x,y],[0,0],[1,4],[2,8]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 4 \\ 2 & 8 \end{array}$
96026	Simplify	x^2+4x+3	$x^{2} + 4 x + 3$
96027	Find the Function Rule	table[[x,y],[0,4],[-1,6],[2,0]]	$\begin{array}{c} x & y \\ 0 & 4 \\ - 1 & 6 \\ 2 & 0 \end{array}$
96028	Simplify	x^2+5x+4	$x^{2} + 5 x + 4$
96029	Find the Function Rule	table[[x,y],[-2,-4.6],[-1,-2.6],[0,-0.6],[1,1.4],[2,3.4]]	$\begin{array}{c} x & y \\ - 2 & - 4.6 \\ - 1 & - 2.6 \\ 0 & - 0.6 \\ 1 & 1.4 \\ 2 & 3.4 \end{array}$
96030	Simplify	x^2y^3(x^2-4y)	$x^{2} y^{3} (x^{2} - 4 y)$
96031	Simplify	x^2x^5	$x^{2} x^{5}$
96032	Simplify	x^(1/3)*x^(2/3)	$x^{\frac{1}{3}} \cdot x^{\frac{2}{3}}$
96033	Simplify	x^(1/3)*y^(2/3)	$x^{\frac{1}{3}} \cdot y^{\frac{2}{3}}$
96034	Find the Function Rule	table[[x,y],[-2,152],[-1,76],[0,38]]	$\begin{array}{c} x & y \\ - 2 & 152 \\ - 1 & 76 \\ 0 & 38 \end{array}$
96035	Simplify	x^(3/2)-x^(1/2)	$x^{\frac{3}{2}} - x^{\frac{1}{2}}$
96036	Simplify	x^(-2/7)	$x^{- \frac{2}{7}}$
96037	Simplify	x^(-3/2)	$x^{- \frac{3}{2}}$
96038	Simplify	x^(3/5)*x^(6/5)	$x^{\frac{3}{5}} \cdot x^{\frac{6}{5}}$
96039	Simplify	x^2(6x^2-3x-1)	$x^{2} (6 x^{2} - 3 x - 1)$
96040	Find the Function Rule	table[[x,f(x)],[8,3],[16,4],[32,5]]	$\begin{array}{c} x & f (x) \\ 8 & 3 \\ 16 & 4 \\ 32 & 5 \end{array}$
96041	Find the Function Rule	table[[x,y],[2,9],[3,27],[4,81]]	$\begin{array}{c} x & y \\ 2 & 9 \\ 3 & 27 \\ 4 & 81 \end{array}$
96042	Simplify	x^(8/3)+x^(10/3)	$x^{\frac{8}{3}} + x^{\frac{10}{3}}$
96043	Find the Function Rule	table[[x,y],[-1,8/7],[0,8],[1,56]]	$\begin{array}{c} x & y \\ - 1 & \frac{8}{7} \\ 0 & 8 \\ 1 & 56 \end{array}$
96044	Simplify	x^2-3x^2	$x^{2} - 3 x^{2}$
96045	Simplify	x^2-4x^2	$x^{2} - 4 x^{2}$
96046	Simplify	x^2=100	$x^{2} = 100$
96047	Find the Function Rule	table[[x,y],[2,860],[4,1250],[6,1800]]	$\begin{array}{c} x & y \\ 2 & 860 \\ 4 & 1250 \\ 6 & 1800 \end{array}$
96048	Find the Function Rule	table[[x,y],[0,1],[1,4],[2,7],[3,10],[4,13],[5,16]]	$\begin{array}{c} x & y \\ 0 & 1 \\ 1 & 4 \\ 2 & 7 \\ 3 & 10 \\ 4 & 13 \\ 5 & 16 \end{array}$
96049	Find the Function Rule	table[[x,y],[3,-2],[3,-1],[3,0]]	$\begin{array}{c} x & y \\ 3 & - 2 \\ 3 & - 1 \\ 3 & 0 \end{array}$
96050	Find the Function Rule	table[[x,y],[1,6],[2,36],[3,216]]	$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 36 \\ 3 & 216 \end{array}$
96051	Simplify	x^3*1/(x^2)	$x^{3} \cdot \frac{1}{x^{2}}$
96052	Find the Function Rule	table[[x,y],[0,0],[1,5],[2,10],[3,15]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 5 \\ 2 & 10 \\ 3 & 15 \end{array}$
96053	Find the Function Rule	table[[x,y],[125,75],[150,85],[175,95]]	$\begin{array}{c} x & y \\ 125 & 75 \\ 150 & 85 \\ 175 & 95 \end{array}$
96054	Simplify	x/(x^2-36)-7/(x^2-12x+36)	$\frac{x}{x^{2} - 36} - \frac{7}{x^{2} - 12 x + 36}$
96055	Find the Function Rule	table[[x,y],[2,11.50],[4,23.00],[6,34.50]]	$\begin{array}{c} x & y \\ 2 & 11.5 \\ 4 & 23 \\ 6 & 34.5 \end{array}$
96056	Find the Function Rule	table[[x,y],[-2,-2.5],[-1,0.5],[0,3.5],[1,6.5],[2,9.5]]	$\begin{array}{c} x & y \\ - 2 & - 2.5 \\ - 1 & 0.5 \\ 0 & 3.5 \\ 1 & 6.5 \\ 2 & 9.5 \end{array}$
96057	Simplify	x^(-1/2)	$x^{\frac{- 1}{2}}$
96058	Simplify	x/(x-6)+-72/(x^2-36)	$\frac{x}{x - 6} + \frac{- 72}{x^{2} - 36}$
96059	Find the Function Rule	table[[x,y],[-15,9],[-10,5],[-5,1]]	$\begin{array}{c} x & y \\ - 15 & 9 \\ - 10 & 5 \\ - 5 & 1 \end{array}$
96060	Simplify	x/(x-y)-(2x)/(x+y)-(2xy)/(x^2-y^2)	$\frac{x}{x - y} - \frac{2 x}{x + y} - \frac{2 x y}{x^{2} - y^{2}}$
96061	Simplify	x/(x-4)+-32/(x^2-16)	$\frac{x}{x - 4} + \frac{- 32}{x^{2} - 16}$
96062	Find the Function Rule	table[[x,y],[0,1],[2,5],[4,9]]	$\begin{array}{c} x & y \\ 0 & 1 \\ 2 & 5 \\ 4 & 9 \end{array}$
96063	Simplify	fourth root of 4x^3* fourth root of 5	$\sqrt[4]{4 x^{3}} \cdot \sqrt[4]{5}$
96064	Find the Function Rule	table[[x,y],[1,20],[3,15],[5,10]]	$\begin{array}{c} x & y \\ 1 & 20 \\ 3 & 15 \\ 5 & 10 \end{array}$
96065	Find the Function Rule	table[[x,f(x)],[0,14],[1,12.6],[2,11.34],[3,10.206],[4,9.185]]	$\begin{array}{c} x & f (x) \\ 0 & 14 \\ 1 & 12.6 \\ 2 & 11.34 \\ 3 & 10.206 \\ 4 & 9.185 \end{array}$
96066	Simplify	sixth root of y* cube root of y* fifth root of y^2	$\sqrt[6]{y} \cdot \sqrt[3]{y} \cdot \sqrt[5]{y^{2}}$
96067	Find the Function Rule	table[[x,y],[0,3],[1,4],[2,5]]	$\begin{array}{c} x & y \\ 0 & 3 \\ 1 & 4 \\ 2 & 5 \end{array}$
96068	Simplify	fifth root of 27x* fifth root of 9x^4	$\sqrt[5]{27 x} \cdot \sqrt[5]{9 x^{4}}$
96069	Find the Function Rule	table[[x,y],[1,33],[2,96],[3,199]]	$\begin{array}{c} x & y \\ 1 & 33 \\ 2 & 96 \\ 3 & 199 \end{array}$
96070	Simplify	square root of 2x* square root of 18xy^2	$\sqrt{2 x} \cdot \sqrt{18 x y^{2}}$
96071	Find the Function Rule	table[[x,y],[1,-2],[2,-4],[3,-6],[4,-8],[5,-10]]	$\begin{array}{c} x & y \\ 1 & - 2 \\ 2 & - 4 \\ 3 & - 6 \\ 4 & - 8 \\ 5 & - 10 \end{array}$
96072	Simplify	square root of x-6* square root of x+3	$\sqrt{x - 6} \cdot \sqrt{x + 3}$
96073	Find the Function Rule	table[[x,f(x)],[0,12.5],[1,13.75],[2,15.125],[3,16.638],[4,18.301]]	$\begin{array}{c} x & f (x) \\ 0 & 12.5 \\ 1 & 13.75 \\ 2 & 15.125 \\ 3 & 16.638 \\ 4 & 18.301 \end{array}$
96074	Find the Function Rule	table[[x,y],[3,71.64],[4,127.36],[5,199]]	$\begin{array}{c} x & y \\ 3 & 71.64 \\ 4 & 127.36 \\ 5 & 199 \end{array}$
96075	Find the Function Rule	table[[x,y],[0,7],[1,9]]	$\begin{array}{c} x & y \\ 0 & 7 \\ 1 & 9 \end{array}$
96076	Find the Function Rule	table[[x,y],[0,83],[1,94],[2,105]]	$\begin{array}{c} x & y \\ 0 & 83 \\ 1 & 94 \\ 2 & 105 \end{array}$
96077	Simplify	cube root of 25xy^2* cube root of 15x^2	$\sqrt[3]{25 x y^{2}} \cdot \sqrt[3]{15 x^{2}}$
96078	Find the Function Rule	table[[x,y],[-2,10],[0,4],[4,-8]]	$\begin{array}{c} x & y \\ - 2 & 10 \\ 0 & 4 \\ 4 & - 8 \end{array}$
96079	Simplify	cube root of 270x- cube root of 10x^4	$\sqrt[3]{270 x} - \sqrt[3]{10 x^{4}}$
96080	Find the Function Rule	table[[x,y],[-2,-6],[-1,-3],[1,3],[2,6]]	$\begin{array}{c} x & y \\ - 2 & - 6 \\ - 1 & - 3 \\ 1 & 3 \\ 2 & 6 \end{array}$
96081	Simplify	cube root of 27xy^2- cube root of 64x^4y^5	$\sqrt[3]{27 x y^{2}} - \sqrt[3]{64 x^{4} y^{5}}$
96082	Simplify	cube root of 4x^3y^5* cube root of 12y^2	$\sqrt[3]{4 x^{3} y^{5}} \cdot \sqrt[3]{12 y^{2}}$
96083	Simplify	5(mn+1)-5	$5 (m n + 1) - 5$
96084	Simplify	cube root of 135x- cube root of 5x^4	$\sqrt[3]{135 x} - \sqrt[3]{5 x^{4}}$
96085	Find the Function Rule	table[[x,y],[4,4],[8,16],[12,64]]	$\begin{array}{c} x & y \\ 4 & 4 \\ 8 & 16 \\ 12 & 64 \end{array}$
96086	Simplify	12 square root of 1764	$12 \sqrt{1764}$
96087	Simplify	cube root of 81x^4- cube root of 192x	$\sqrt[3]{81 x^{4}} - \sqrt[3]{192 x}$
96088	Find the Function Rule	table[[x,y],[-4,-0.906],[-2,-0.625],[0,0.5]]	$\begin{array}{c} x & y \\ - 4 & - 0.906 \\ - 2 & - 0.625 \\ 0 & 0.5 \end{array}$
96089	Simplify	square root of 10000	$\sqrt{10000}$
96090	Simplify	cube root of 8y- cube root of 128y	$\sqrt[3]{8 y} - \sqrt[3]{128 y}$
96091	Find the Function Rule	table[[x,y],[1,3.5],[3,-3.5],[4,-10]]	$\begin{array}{c} x & y \\ 1 & 3.5 \\ 3 & - 3.5 \\ 4 & - 10 \end{array}$
96092	Simplify	cube root of x* fifth root of x	$\sqrt[3]{x} \cdot \sqrt[5]{x}$
96093	Simplify	fourth root of x^2* fourth root of x^2	$\sqrt[4]{x^{2}} \cdot \sqrt[4]{x^{2}}$
96094	Find the Function Rule	table[[x,y],[-4,75],[-3,40],[-2,15]]	$\begin{array}{c} x & y \\ - 4 & 75 \\ - 3 & 40 \\ - 2 & 15 \end{array}$
96095	Find the Function Rule	table[[x,y],[3,68],[9,66],[18,63]]	$\begin{array}{c} x & y \\ 3 & 68 \\ 9 & 66 \\ 18 & 63 \end{array}$
96096	Simplify	8(R+6)-2R	$8 (R + 6) - 2 R$
96097	Simplify	- square root of -45	$- \sqrt{- 45}$
96098	Find the Function Rule	table[[x,y],[-1,0.083],[0,1],[1,12]]	$\begin{array}{c} x & y \\ - 1 & 0.083 \\ 0 & 1 \\ 1 & 12 \end{array}$
96099	Simplify	( square root of 5 cube root of 9)^2	${(\sqrt{5} \sqrt[3]{9})}^{2}$
96100	Simplify	( square root of 9)/( square root of 18)	$\frac{\sqrt{9}}{\sqrt{18}}$