Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21201	Reduce	8/( square root of 3)	$\frac{8}{\sqrt{3}}$
21202	Reduce	(xg-10x-24)/(g+x)	$\frac{x g - 10 x - 24}{g + x}$
21203	Reduce	(8x)/( square root of 2x+6)	$\frac{8 x}{\sqrt{2 x + 6}}$
21204	Reduce	(9 square root of 2)/( square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{18}}$
21205	Reduce	(9- square root of 2)/(2+3 square root of 2)	$\frac{9 - \sqrt{2}}{2 + 3 \sqrt{2}}$
21206	Reduce	(9xy^-5)/(z^-3)	$\frac{9 x y^{- 5}}{z^{- 3}}$
21207	Reduce	9/( cube root of 7)	$\frac{9}{\sqrt[3]{7}}$
21208	Reduce	(2^(n+4)-22^n)/(2^(n+2)4)	$\frac{2^{n + 4} - 2 \cdot 2^{n}}{2^{n + 2} \cdot 4}$
21209	Reduce	(213/224-0.94)/( square root of (0.94*0.06)/224)	$\frac{\frac{213}{224} - 0.94}{\sqrt{\frac{0.94 \cdot 0.06}{224}}}$
21210	Reduce	((25x^2-y^2)/(xy))/(5/y-1/x)	$\frac{\frac{25 x^{2} - y^{2}}{x y}}{\frac{5}{y} - \frac{1}{x}}$
21211	Reduce	((2a)/16)/((6a-2a)/12)	$\frac{\frac{2 a}{16}}{\frac{6 a - 2 a}{12}}$
21212	Reduce	(2xy^2)/(3x^(2/3)y^(1/2))	$\frac{2 x y^{2}}{3 x^{\frac{2}{3}} y^{\frac{1}{2}}}$
21213	Reduce	(3^(m^3)-9^(m^2)+18m)/(3m)	$\frac{3^{m^{3}} - 9^{m^{2}} + 18 m}{3 m}$
21214	Reduce	(3^2m^5t^6)/(3^5m^7t^-5)	$\frac{3^{2} m^{5} t^{6}}{3^{5} m^{7} t^{- 5}}$
21215	Reduce	(3^(a+b)*3^a)/(3^b+9^b)	$\frac{3^{a + b} \cdot 3^{a}}{3^{b} + 9^{b}}$
21216	Reduce	((4a+12)/(2a-10))/((2-9)/(a^2-a-20))	$\frac{\frac{4 a + 12}{2 a - 10}}{\frac{2 - 9}{a^{2} - a - 20}}$
21217	Reduce	(6^-1g^-2)/((6g)^2)	$\frac{6^{- 1} g^{- 2}}{{(6 g)}^{2}}$
21218	Reduce	((8x+8h+3)/(x+h)-8x+3)/h	$\frac{\frac{8 x + 8 h + 3}{x + h} - 8 x + 3}{h}$
21219	Reduce	(a^6)/(a^-3)	$\frac{a^{6}}{a^{- 3}}$
21220	Reduce	(a^6x(a^3)^2xa^-7)/(a^-5)	$\frac{a^{6} x {(a^{3})}^{2} x a^{- 7}}{a^{- 5}}$
21221	Reduce	(a^9b^5c^3)/(ab^3c^2)	$\frac{a^{9} b^{5} c^{3}}{a b^{3} c^{2}}$
21222	Reduce	(m^(-3/4)n^(-1/4))/((m^2n)^(1/2))	$\frac{m^{- \frac{3}{4}} n^{- \frac{1}{4}}}{{(m^{2} n)}^{\frac{1}{2}}}$
21223	Reduce	(t^2+14t+48)/(t^2-25)	$\frac{t^{2} + 14 t + 48}{t^{2} - 25}$
21224	Reduce	( square root of 50^2-413825)/2	$\frac{\sqrt{50^{2} - 4 \cdot 1 \cdot 3825}}{2}$
21225	Reduce	( square root of cd^6)/( fifth root of cd)	$\frac{\sqrt{c d^{6}}}{\sqrt[5]{c d}}$
21226	Reduce	( square root of 10)/( square root of 18)	$\frac{\sqrt{10}}{\sqrt{18}}$
21227	Reduce	( square root of 11)/( square root of 2)	$\frac{\sqrt{11}}{\sqrt{2}}$
21228	Reduce	( square root of -12)/( square root of -4)	$\frac{\sqrt{- 12}}{\sqrt{- 4}}$
21229	Reduce	( square root of 126)/( square root of 7)	$\frac{\sqrt{126}}{\sqrt{7}}$
21230	Reduce	( square root of 15)/( square root of 4)	$\frac{\sqrt{15}}{\sqrt{4}}$
21231	Reduce	( square root of 2+ square root of 3)/4	$\frac{\sqrt{2} + \sqrt{3}}{4}$
21232	Reduce	( square root of 2+ square root of 5)/( square root of 2- square root of 5)	$\frac{\sqrt{2} + \sqrt{5}}{\sqrt{2} - \sqrt{5}}$
21233	Reduce	( square root of 3)/( cube root of 3)	$\frac{\sqrt{3}}{\sqrt[3]{3}}$
21234	Reduce	( square root of 3)/( cube root of 5)	$\frac{\sqrt{3}}{\sqrt[3]{5}}$
21235	Reduce	( square root of 3)/(3 square root of 6- square root of 3)	$\frac{\sqrt{3}}{3 \sqrt{6} - \sqrt{3}}$
21236	Reduce	( square root of -36)/( square root of -2)	$\frac{\sqrt{- 36}}{\sqrt{- 2}}$
21237	Reduce	( square root of -40)/( square root of 2)	$\frac{\sqrt{- 40}}{\sqrt{2}}$
21238	Reduce	( square root of -48)/( square root of 3)	$\frac{\sqrt{- 48}}{\sqrt{3}}$
21239	Reduce	( square root of 5)/( square root of 6)	$\frac{\sqrt{5}}{\sqrt{6}}$
21240	Reduce	( square root of -81)/( square root of 3)	$\frac{\sqrt{- 81}}{\sqrt{3}}$
21241	Reduce	(v^2-3v-40)/(v^2-11v+24)	$\frac{v^{2} - 3 v - 40}{v^{2} - 11 v + 24}$
21242	Reduce	( cube root of 16)/( cube root of 2)	$\frac{\sqrt[3]{16}}{\sqrt[3]{2}}$
21243	Reduce	( fourth root of 2)/( fourth root of 5)	$\frac{\sqrt[4]{2}}{\sqrt[4]{5}}$
21244	Reduce	(x^-1-y^-1)/y	$\frac{x^{- 1} - y^{- 1}}{y}$
21245	Reduce	(x^-1)/(4x^4)	$\frac{x^{- 1}}{4 x^{4}}$
21246	Reduce	(x^2-8^x)/((x+4)(x-8))	$\frac{x^{2} - 8^{x}}{(x + 4) (x - 8)}$
21247	Reduce	(x^2-y^2-4x+4y)/(x^2-y^2+4x-4y)	$\frac{x^{2} - y^{2} - 4 x + 4 y}{x^{2} - y^{2} + 4 x - 4 y}$
21248	Reduce	(a^2)/(a^-2)	$\frac{a^{2}}{a^{- 2}}$
21249	Reduce	(x^2+2x-35)/(x^2*(4x)-21)	$\frac{x^{2} + 2 x - 35}{x^{2} \cdot (4 x) - 21}$
21250	Reduce	(x^2+4x-21)/(x^2+13x+42)	$\frac{x^{2} + 4 x - 21}{x^{2} + 13 x + 42}$
21251	Reduce	(x^2+4x-8)/(x+3)	$\frac{x^{2} + 4 x - 8}{x + 3}$
21252	Reduce	(x^2+6x+5)/(2x^2+7x+5)	$\frac{x^{2} + 6 x + 5}{2 x^{2} + 7 x + 5}$
21253	Reduce	(x^2-10x+25)/(x^3-12^2+50x)	$\frac{x^{2} - 10 x + 25}{x^{3} - 12^{2} + 50 x}$
21254	Reduce	(x^2-11x+18)/(x^2+2x-8)	$\frac{x^{2} - 11 x + 18}{x^{2} + 2 x - 8}$
21255	Reduce	((x^2-16x)/(x^2-x-16))÷((x^3-x^2-20x)/(x^2-8x+15))	$\frac{x^{2} - 16 x}{x^{2} - x - 16} \div \frac{x^{3} - x^{2} - 20 x}{x^{2} - 8 x + 15}$
21256	Reduce	(x^2-38x+361)/(x^2+16x-57)	$\frac{x^{2} - 38 x + 361}{x^{2} + 16 x - 57}$
21257	Reduce	(x^(2+x-6))/(x^2-7x+10)	$\frac{x^{2 + x - 6}}{x^{2} - 7 x + 10}$
21258	Reduce	(x^(2-4))/(x+2)	$\frac{x^{2 - 4}}{x + 2}$
21259	Reduce	(x^3-y^3)/(y-x)	$\frac{x^{3} - y^{3}}{y - x}$
21260	Reduce	(x^-3y^-4)/((x^2y^-3)^-3)	$\frac{x^{- 3} y^{- 4}}{{(x^{2} y^{- 3})}^{- 3}}$
21261	Reduce	(x^3+kx^2+(k+1)x+k+9)/(x-3)	$\frac{x^{3} + k x^{2} + (k + 1) x + k + 9}{x - 3}$
21262	Reduce	(x^3-14x^2+3x-14)/(x-4)	$\frac{x^{3} - 14 x^{2} + 3 x - 14}{x - 4}$
21263	Reduce	(x^4*x^3)/(x^5)	$\frac{x^{4} \cdot x^{3}}{x^{5}}$
21264	Reduce	(x^5+3x-x^3+2)/(x+2)	$\frac{x^{5} + 3 x - x^{3} + 2}{x + 2}$
21265	Reduce	(x^8)/(x^4)	$\frac{x^{8}}{x^{4}}$
21266	Reduce	(xy^-2+x^-3y)/(x^2y^-1-x^-4y^3)	$\frac{x y^{- 2} + x^{- 3} y}{x^{2} y^{- 1} - x^{- 4} y^{3}}$
21267	Reduce	(y^(1/3))/(y^(-1/5))	$\frac{y^{\frac{1}{3}}}{y^{- \frac{1}{5}}}$
21268	Reduce	(y^2+64)/(y+8)	$\frac{y^{2} + 64}{y + 8}$
21269	Reduce	(z^2+2^z+1)/(z^2-6^z-7)	$\frac{z^{2} + 2^{z} + 1}{z^{2} - 6^{z} - 7}$
21270	Reduce	(1-e^x)/x	$\frac{1 - e^{x}}{x}$
21271	Reduce	(1- square root of 2)/( square root of 3- square root of 6)	$\frac{1 - \sqrt{2}}{\sqrt{3 - \sqrt{6}}}$
21272	Reduce	(1- square root of 6)/(5+2 square root of 6)	$\frac{1 - \sqrt{6}}{5 + 2 \sqrt{6}}$
21273	Reduce	1/(1/x)	$\frac{1}{\frac{1}{x}}$
21274	Reduce	1/(( cube root of 512)^4)	$\frac{1}{{(\sqrt[3]{512})}^{4}}$
21275	Reduce	1/( square root of 2+ square root of 3+ square root of 5)	$\frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{5}}$
21276	Reduce	1/(x^-2+y^-5)	$\frac{1}{x^{- 2} + y^{- 5}}$
21277	Reduce	1/2*(a(0.08))	$\frac{1}{2} \cdot (a (0.08))$
21278	Reduce	1/(-3i)	$\frac{1}{- 3 i}$
21279	Reduce	1/4*(x+4)	$\frac{1}{4} \cdot (x + 4)$
21280	Reduce	1/4*(x+4)=x	$\frac{1}{4} \cdot (x + 4) = x$
21281	Reduce	1/8	$\frac{1}{8}$
21282	Reduce	1/(x-1)	$\frac{1}{x - 1}$
21283	Reduce	(-10x^7)/(-5x^6)	$\frac{- 10 x^{7}}{- 5 x^{6}}$
21284	Reduce	10/( square root of 13)	$\frac{10}{\sqrt{13}}$
21285	Reduce	(1000g)/(1kg)	$\frac{1000 g}{1 kg}$
21286	Reduce	11/( square root of 11)	$\frac{11}{\sqrt{11}}$
21287	Reduce	14/( cube root of 4+5)	$\frac{14}{\sqrt[3]{4} + 5}$
21288	Reduce	(15x^3y^5)/(-3x^5y^2)	$\frac{15 x^{3} y^{5}}{- 3 x^{5} y^{2}}$
21289	Reduce	15/( square root of 3)	$\frac{15}{\sqrt{3}}$
21290	Reduce	(15x)/(30x^2)	$\frac{15 x}{30 x^{2}}$
21291	Reduce	(17x-9)/((x+7)(x-9))	$\frac{17 x - 9}{(x + 7) (x - 9)}$
21292	Reduce	(18x^2y^7)/(-2x^6y)	$\frac{18 x^{2} y^{7}}{- 2 x^{6} y}$
21293	Reduce	(-1pi)/4	$\frac{- 1 π}{4}$
21294	Reduce	(1-x-2/x)/(6/(x^2)+1/x-1)	$\frac{1 - x - \frac{2}{x}}{\frac{6}{x^{2}} + \frac{1}{x} - 1}$
21295	Reduce	-(2(2+ square root of 5))/3	$- \frac{2 (2 + \sqrt{5})}{3}$
21296	Reduce	(2.16g)/(0.59g)	$\frac{2.16 g}{0.59 g}$
21297	Reduce	(2a^2)/((-4a^4)^2)	$\frac{2 a^{2}}{{(- 4 a^{4})}^{2}}$
21298	Find the Domain	y = square root of x-10	$y = \sqrt{x - 10}$
21299	Find the Domain	y=x^2-6x+1	$y = x^{2} - 6 x + 1$
21300	Find the Domain	y=x^2-7x+10	$y = x^{2} - 7 x + 10$