Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
20301	Simplify	4/(8-i)	$\frac{4}{8 - i}$
20302	Simplify	(48x^11-12x^10+30x^8+12x^6+5x^5)/(6x^8)	$\frac{48 x^{11} - 12 x^{10} + 30 x^{8} + 12 x^{6} + 5 x^{5}}{6 x^{8}}$
20303	Simplify	(4b)/( fourth root of 7a^3)	$\frac{4 b}{\sqrt[4]{7 a^{3}}}$
20304	Simplify	((4by)/(3y^3))÷((2b)/(9y))	$\frac{4 b y}{3 y^{3}} \div \frac{2 b}{9 y}$
20305	Simplify	(4-x)/(x^2+3x-28)	$\frac{4 - x}{x^{2} + 3 x - 28}$
20306	Simplify	(5(x-3))/(2x-6)	$\frac{5 (x - 3)}{2 x - 6}$
20307	Simplify	(5m^3+5m^2)/(15m^2+10m)	$\frac{5 m^{3} + 5 m^{2}}{15 m^{2} + 10 m}$
20308	Simplify	(5x^4-3x^2+x+1)/(x^2+2)	$\frac{5 x^{4} - 3 x^{2} + x + 1}{x^{2} + 2}$
20309	Simplify	(-5y^10)/(30y^5)	$\frac{- 5 y^{10}}{30 y^{5}}$
20310	Simplify	5/( square root of 17)	$\frac{5}{\sqrt{17}}$
20311	Simplify	(5v-25)/(5v)	$\frac{5 v - 25}{5 v}$
20312	Simplify	(5x-5)/(6x-12)	$\frac{5 x - 5}{6 x - 12}$
20313	Simplify	(6x^2+15x)/(8x^2+20)	$\frac{6 x^{2} + 15 x}{8 x^{2} + 20}$
20314	Simplify	( square root of 16x^5y^12)/( square root of 36xy^2)	$\frac{\sqrt{16 x^{5} y^{12}}}{\sqrt{36 x y^{2}}}$
20315	Simplify	( square root of 18x^3y^10)/( square root of 32xy^4)	$\frac{\sqrt{18 x^{3} y^{10}}}{\sqrt{32 x y^{4}}}$
20316	Simplify	( square root of 18xy^3)/( square root of 9x)	$\frac{\sqrt{18 x y^{3}}}{\sqrt{9 x}}$
20317	Simplify	( square root of 25x)/( square root of 5y)	$\frac{\sqrt{25 x}}{\sqrt{5 y}}$
20318	Simplify	( square root of 28y^5)/( square root of 7y)	$\frac{\sqrt{28 y^{5}}}{\sqrt{7} y}$
20319	Simplify	( square root of 3(\|x\|-5x^2))/3	$\frac{\sqrt{3 (\| x \| - 5 x^{2})}}{3}$
20320	Simplify	( square root of 3x^2)/(75y^2)	$\frac{\sqrt{3 x^{2}}}{75 y^{2}}$
20321	Simplify	( square root of 3-2 square root of 2)/(3 square root of 3+7 square root of 2)	$\frac{\sqrt{3} - 2 \sqrt{2}}{3 \sqrt{3} + 7 \sqrt{2}}$
20322	Simplify	( square root of 32a^5b)/( cube root of 2ab)	$\frac{\sqrt{32 a^{5} b}}{\sqrt[3]{2 a b}}$
20323	Simplify	( square root of 360mn)/(3 square root of 5)	$\frac{\sqrt{360 m n}}{3 \sqrt{5}}$
20324	Simplify	( square root of 49y^7)/(x^10)	$\frac{\sqrt{49 y^{7}}}{x^{10}}$
20325	Simplify	( square root of 5-2 square root of 2)/( square root of 2-2 square root of 5)	$\frac{\sqrt{5} - 2 \sqrt{2}}{\sqrt{2} - 2 \sqrt{5}}$
20326	Simplify	( square root of -500)/( square root of -5)	$\frac{\sqrt{- 500}}{\sqrt{- 5}}$
20327	Simplify	( square root of 50x)/(2 square root of 2)	$\frac{\sqrt{50 x}}{2 \sqrt{2}}$
20328	Simplify	( square root of 5xy)/(5y)	$\frac{\sqrt{5 x y}}{5 y}$
20329	Simplify	( square root of 60x^10y^10)/( square root of 5x^2y^3)	$\frac{\sqrt{60 x^{10} y^{10}}}{\sqrt{5 x^{2} y^{3}}}$
20330	Simplify	( square root of 7+5i)/( square root of 5+2i)	$\frac{\sqrt{7} + 5 i}{\sqrt{5} + 2 i}$
20331	Simplify	( square root of 7+i square root of 7)/((1-i square root of 3)(2-2i))	$\frac{\sqrt{7} + i \sqrt{7}}{(1 - i \sqrt{3}) (2 - 2 i)}$
20332	Simplify	( square root of 78)/78	$\frac{\sqrt{78}}{78}$
20333	Simplify	( square root of 7b)/( square root of 18)	$\frac{\sqrt{7 b}}{\sqrt{18}}$
20334	Simplify	( square root of 99xy^3)/( square root of 9x)	$\frac{\sqrt{99 x y^{3}}}{\sqrt{9 x}}$
20335	Simplify	( square root of 9x+h- square root of 9x)/h	$\frac{\sqrt{9 x + h} - \sqrt{9 x}}{h}$
20336	Simplify	( square root of j)^j	${(\sqrt{j})}^{j}$
20337	Simplify	( square root of n)/( square root of 112)	$\frac{\sqrt{n}}{\sqrt{112}}$
20338	Simplify	( square root of xyz)/( square root of yyz)	$\frac{\sqrt{x y z}}{\sqrt{y y z}}$
20339	Simplify	( cube root of x^5)/( fourth root of x^5)	$\frac{\sqrt[3]{x^{5}}}{\sqrt[4]{x^{5}}}$
20340	Simplify	( cube root of 120x^15)/( cube root of 5x)	$\frac{\sqrt[3]{120 x^{15}}}{\sqrt[3]{5 x}}$
20341	Simplify	( cube root of 250x^5y^3)/( cube root of 2x^3)	$\frac{\sqrt[3]{250 x^{5} y^{3}}}{\sqrt[3]{2 x^{3}}}$
20342	Simplify	( cube root of 32a^7b^7)/( square root of 2ab)	$\frac{\sqrt[3]{32 a^{7} b^{7}}}{\sqrt{2 a b}}$
20343	Simplify	( cube root of 4ab^5)/(4ab^2)	$\frac{\sqrt[3]{4 a b^{5}}}{4 a b^{2}}$
20344	Simplify	( cube root of 6c^4d^14)/( cube root of 48c^-2d^2)	$\frac{\sqrt[3]{6 c^{4} d^{14}}}{\sqrt[3]{48 c^{- 2} d^{2}}}$
20345	Simplify	( cube root of -7x^6y^4)/( cube root of 448y^3)	$\frac{\sqrt[3]{- 7 x^{6} y^{4}}}{\sqrt[3]{448 y^{3}}}$
20346	Simplify	( cube root of 81x)/( cube root of y)	$\frac{\sqrt[3]{81 x}}{\sqrt[3]{y}}$
20347	Simplify	( fifth root of 243a^12)/( fifth root of b^10)	$\frac{\sqrt[5]{243 a^{12}}}{\sqrt[5]{b^{10}}}$
20348	Simplify	( sixth root of x^13y^5)/( square root of xy)	$\frac{\sqrt[6]{x^{13} y^{5}}}{\sqrt{x y}}$
20349	Simplify	(x^(1/3))/(x^(1/12))	$\frac{x^{\frac{1}{3}}}{x^{\frac{1}{12}}}$
20350	Simplify	(x^(4/7))/(x^(8/7))	$\frac{x^{\frac{4}{7}}}{x^{\frac{8}{7}}}$
20351	Simplify	(x^2+2x-3)/(x^2-9x+8)	$\frac{x^{2} + 2 x - 3}{x^{2} - 9 x + 8}$
20352	Simplify	((x^2-4)/(x-2))÷((x+2)/(4x-8))	$\frac{x^{2} - 4}{x - 2} \div \frac{x + 2}{4 x - 8}$
20353	Simplify	(x^2-4x)/(7(x-4))	$\frac{x^{2} - 4 x}{7 (x - 4)}$
20354	Simplify	(x^(2n+3))/(-4^(xn+4))	$\frac{x^{2 n + 3}}{- 4^{x n + 4}}$
20355	Simplify	(x^3+10x^2)/(x^2+5x-50)	$\frac{x^{3} + 10 x^{2}}{x^{2} + 5 x - 50}$
20356	Simplify	(x^3+4x^2-5x-20)/(x-4)	$\frac{x^{3} + 4 x^{2} - 5 x - 20}{x - 4}$
20357	Simplify	(x^3-5x^2-13x-7)/(x-7)	$\frac{x^{3} - 5 x^{2} - 13 x - 7}{x - 7}$
20358	Simplify	(x^3-729)/(x-9)	$\frac{x^{3} - 729}{x - 9}$
20359	Simplify	(x^4+x^3+29x^2+11x+90)/((x+2)(x^2+4)^2)	$\frac{x^{4} + x^{3} + 29 x^{2} + 11 x + 90}{(x + 2) {(x^{2} + 4)}^{2}}$
20360	Simplify	(x^4-8x^2+15)/(x^4-9)	$\frac{x^{4} - 8 x^{2} + 15}{x^{4} - 9}$
20361	Simplify	(x^5-3x^3+px^3+q)/(x^2+x-2)	$\frac{x^{5} - 3 x^{3} + p x^{3} + q}{x^{2} + x - 2}$
20362	Simplify	((x+4)/(x-6)-(x-1)/(x+5))/(x/(x+1)-(3x-1)/x)	$\frac{\frac{x + 4}{x - 6} - \frac{x - 1}{x + 5}}{\frac{x}{x + 1} - \frac{3 x - 1}{x}}$
20363	Simplify	((x-4)/(x^2-x))/((x-1)/(2x^2+3x+1)-1/(x^2-1))	$\frac{\frac{x - 4}{x^{2} - x}}{\frac{x - 1}{2 x^{2} + 3 x + 1} - \frac{1}{x^{2} - 1}}$
20364	Simplify	(y^2+yx+3y+3x)/(y+3)	$\frac{y^{2} + y x + 3 y + 3 x}{y + 3}$
20365	Simplify	(y^2-3y-4)/(y^2-6y+8)	$\frac{y^{2} - 3 y - 4}{y^{2} - 6 y + 8}$
20366	Simplify	(y^3+11y^2-10y+6)/(y+2)	$\frac{y^{3} + 11 y^{2} - 10 y + 6}{y + 2}$
20367	Simplify	(z^2+zx+5z+5x)/(z+5)	$\frac{z^{2} + z x + 5 z + 5 x}{z + 5}$
20368	Simplify	(z^2-5z+6)/(z^2-4)	$\frac{z^{2} - 5 z + 6}{z^{2} - 4}$
20369	Simplify	(z^2-9z+4)/(z^2-36)	$\frac{z^{2} - 9 z + 4}{z^{2} - 36}$
20370	Simplify	\| square root of 11+i square root of 5\|	$\| \sqrt{11} + i \sqrt{5} \|$
20371	Simplify	0.25/(-3/4)*(6/9)/(8-5x)	$\frac{0.25}{- \frac{3}{4}} \cdot \frac{\frac{6}{9}}{8 - 5 x}$
20372	Simplify	0.5/(4+3i)	$\frac{0.5}{4 + 3 i}$
20373	Simplify	(1-(2x)/y)/(1/x+x/y)	$\frac{1 - \frac{2 x}{y}}{\frac{1}{x} + \frac{x}{y}}$
20374	Simplify	1/2*(4x-5)	$\frac{1}{2} \cdot (4 x - 5)$
20375	Simplify	1/2*(2x^3)^3	$\frac{1}{2} \cdot {(2 x^{3})}^{3}$
20376	Simplify	1/(3 square root of x-6)	$\frac{1}{3 \sqrt{x - 6}}$
20377	Simplify	(-10d^4e^3f^5)/(15d^2e^2f)	$\frac{- 10 d^{4} e^{3} f^{5}}{15 d^{2} e^{2} f}$
20378	Simplify	(10k^2-89k+9)/(k-9)	$\frac{10 k^{2} - 89 k + 9}{k - 9}$
20379	Simplify	(6x^4)/(2x^6)	$\frac{6 x^{4}}{2 x^{6}}$
20380	Simplify	(6x^5+18x^4+6)/(3x^2)	$\frac{6 x^{5} + 18 x^{4} + 6}{3 x^{2}}$
20381	Simplify	6/7*(x-2)	$\frac{6}{7} \cdot (x - 2)$
20382	Simplify	(60i)/(3+i)	$\frac{60 i}{3 + i}$
20383	Simplify	(6x(x+1))/(x-1)	$\frac{6 x (x + 1)}{x - 1}$
20384	Simplify	(6x)/(x^2-5)	$\frac{6 x}{x^{2} - 5}$
20385	Simplify	(6y)/((7x^2)/((9y^2)/(14x^4)))	$\frac{6 y}{\frac{7 x^{2}}{\frac{9 y^{2}}{14 x^{4}}}}$
20386	Simplify	(7-(2y-7)/7)/(35/35+7/(5y))	$\frac{7 - \frac{2 y - 7}{7}}{\frac{35}{35} + \frac{7}{5 y}}$
20387	Simplify	(7m^2+42m-49)/(m+7)	$\frac{7 m^{2} + 42 m - 49}{m + 7}$
20388	Simplify	(7 cube root of 3)/( cube root of 9)	$\frac{7 \sqrt[3]{3}}{\sqrt[3]{9}}$
20389	Simplify	7/(x^2-9)	$\frac{7}{x^{2} - 9}$
20390	Simplify	(75b^5-36b^4+18b^3)/(-6b^3)	$\frac{75 b^{5} - 36 b^{4} + 18 b^{3}}{- 6 b^{3}}$
20391	Simplify	(76x^8)/(79x^4)	$\frac{76 x^{8}}{79 x^{4}}$
20392	Simplify	(7i)/(2+3i)	$\frac{7 i}{2 + 3 i}$
20393	Simplify	(8x^5+36x^4-20x^3)/(4x^2)	$\frac{8 x^{5} + 36 x^{4} - 20 x^{3}}{4 x^{2}}$
20394	Simplify	(8/(p-1))÷(8/(2p^2-2p))	$\frac{8}{p - 1} \div \frac{8}{2 p^{2} - 2 p}$
20395	Simplify	(8-6x)/-3	$\frac{8 - 6 x}{- 3}$
20396	Simplify	(8a-8b)/(b-a)	$\frac{8 a - 8 b}{b - a}$
20397	Simplify	9/( square root of x-9)	$\frac{9}{\sqrt{x - 9}}$
20398	Simplify	(9-6x+3x^2)/3	$\frac{9 - 6 x + 3 x^{2}}{3}$
20399	Simplify	(9x-5)/(4x+1)	$\frac{9 x - 5}{4 x + 1}$
20400	Simplify	e^1412 root of 21	$e^{14} \sqrt[12]{21}$