Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
60201	Simplify	((y^3)^4(y^3)^2)/((y^2)^3)	$\frac{{(y^{3})}^{4} {(y^{3})}^{2}}{{(y^{2})}^{3}}$
60202	Simplify	((y^5)^5)/((y^9)^7)	$\frac{{(y^{5})}^{5}}{{(y^{9})}^{7}}$
60203	Simplify	((z^4)^-3)/(z^4*z^-2)	$\frac{{(z^{4})}^{- 3}}{z^{4} \cdot z^{- 2}}$
60204	Round to the Nearest Tenth	2.5	$2.5$
60205	Simplify	((1+y^2)^(1/2)-y^2(1+y^2)^(-1/2))/(1+y^2)	$\frac{{(1 + y^{2})}^{\frac{1}{2}} - y^{2} {(1 + y^{2})}^{- \frac{1}{2}}}{1 + y^{2}}$
60206	Simplify	((16-8÷4)^2)/4	$\frac{{(16 - 8 \div 4)}^{2}}{4}$
60207	Simplify	((2)^4)/4-(4(2)^3)/3+((2)^2)/2+6(2)	$\frac{{(2)}^{4}}{4} - \frac{4 \cdot {(2)}^{3}}{3} + \frac{{(2)}^{2}}{2} + 6 \cdot (2)$
60208	Simplify	((2A^2B)^3)/((2AB^3)^2)	$\frac{{(2 A^{2} B)}^{3}}{{(2 A B^{3})}^{2}}$
60209	Simplify	((2b^3)^3)/(b^2)	$\frac{{(2 b^{3})}^{3}}{b^{2}}$
60210	Simplify	((2+6)^2)/(4.9-4)	$\frac{{(2 + 6)}^{2}}{4.9 - 4}$
60211	Simplify	((2-5)^2)/3	$\frac{{(2 - 5)}^{2}}{3}$
60212	Simplify	(((2a+3b)^2)/(3a-5b)*(9a^2-25b^2)/(4a^2-9b^2))÷((3a+5b)/(2a-3b))	$\frac{{(2 a + 3 b)}^{2}}{3 a - 5 b} \cdot \frac{9 a^{2} - 25 b^{2}}{4 a^{2} - 9 b^{2}} \div \frac{3 a + 5 b}{2 a - 3 b}$
60213	Simplify	((2r)^-4)/(r^-1*r)	$\frac{{(2 r)}^{- 4}}{r^{- 1} \cdot r}$
60214	Simplify	((2y)^2z^3)/(y^-1y^-5)*(5y^-2)^-3	$\frac{{(2 y)}^{2} z^{3}}{y^{- 1} y^{- 5}} \cdot {(5 y^{- 2})}^{- 3}$
60215	Simplify	((-3a^2b^-1)^2)/(3ab^2)	$\frac{{(- 3 a^{2} b^{- 1})}^{2}}{3 a b^{2}}$
60216	Simplify	(3a^2b^3c^4)^2*(2ab^2c^3)^3	${(3 a^{2} b^{3} c^{4})}^{2} \cdot {(2 a b^{2} c^{3})}^{3}$
60217	Simplify	((3a^4b^-2)^2)/((2a^-3b)^3)	$\frac{{(3 a^{4} b^{- 2})}^{2}}{{(2 a^{- 3} b)}^{3}}$
60218	Simplify	((3a^5)^-2)/(a^4)	$\frac{{(3 a^{5})}^{- 2}}{a^{4}}$
60219	Simplify	((3a^6b^8)^2)/(c^6)	$\frac{{(3 a^{6} b^{8})}^{2}}{c^{6}}$
60220	Simplify	((3ab^3)^2)/(12a^2b^5)*(18a^4b)/((a^-1b)^3)	$\frac{{(3 a b^{3})}^{2}}{12 a^{2} b^{5}} \cdot \frac{18 a^{4} b}{{(a^{- 1} b)}^{3}}$
60221	Simplify	((-3c^(3d))^2)/(2cd^3)	$\frac{{(- 3 c^{3 d})}^{2}}{2 c d^{3}}$
60222	Simplify	((3y^3)^5)/(9y^2)	$\frac{{(3 y^{3})}^{5}}{9 y^{2}}$
60223	Simplify	((3y^7z^7)^2)/(y^9)	$\frac{{(3 y^{7} z^{7})}^{2}}{y^{9}}$
60224	Simplify	(-30a^14b^8)/((12a^3-b^-5)^0)	$\frac{- 30 a^{14} b^{8}}{{(12 a^{3} - b^{- 5})}^{0}}$
60225	Simplify	((3a)^3)/((4b)^2)	$\frac{{(3 a)}^{3}}{{(4 b)}^{2}}$
60226	Simplify	((3(nm))^2)/(4m^3)*((2m)^3)/(n^4)	$\frac{{(3 n m)}^{2}}{4 m^{3}} \cdot \frac{{(2 m)}^{3}}{n^{4}}$
60227	Simplify	((3r)^2r^3)/(r^-1r^-5)	$\frac{{(3 r)}^{2} r^{3}}{r^{- 1} r^{- 5}}$
60228	Simplify	((3y)^3(6y))/(42y^2)	$\frac{{(3 y)}^{3} (6 y)}{42 y^{2}}$
60229	Simplify	((4.910^3)^-27^4(1/7001/(10^10))^-1)/(0.343-10^-20.710^-1)24011/((0.00007)^-1)	$\frac{{(4.9 \cdot 10^{3})}^{- 2} \cdot 7^{4} \cdot {(\frac{1}{700} \cdot \frac{1}{10^{10}})}^{- 1}}{0.343 - 10^{- 2} \cdot 0.7 \cdot 10^{- 1}} \cdot 2401 \cdot \frac{1}{{(0.00007)}^{- 1}}$
60230	Simplify	((4a^-3b^2)^4b)/((12a^2b)^3)	$\frac{{(4 a^{- 3} b^{2})}^{4} b}{{(12 a^{2} b)}^{3}}$
60231	Simplify	((-4m^3)^2(n^-2)^2)/((2^-1)^2m^4n^-8)	$\frac{{(- 4 m^{3})}^{2} {(n^{- 2})}^{2}}{{(2^{- 1})}^{2} m^{4} n^{- 8}}$
60232	Simplify	((4y^5)^4)/(y^-3)	$\frac{{(4 y^{5})}^{4}}{y^{- 3}}$
60233	Simplify	((5-a)^2)/(8b^2c)*(4ab)/(4(25-a^2))	$\frac{{(5 - a)}^{2}}{8 b^{2} c} \cdot \frac{4 a b}{4 (25 - a^{2})}$
60234	Simplify	((5c)^-2)/((3c)^-3)	$\frac{{(5 c)}^{- 2}}{{(3 c)}^{- 3}}$
60235	Simplify	((5y+1)^2)/2	$\frac{{(5 y + 1)}^{2}}{2}$
60236	Simplify	((6a^3)^0)/(3ay^2)	$\frac{{(6 a^{3})}^{0}}{3 a y^{2}}$
60237	Simplify	((6cd^2)^2)/(24c^5d^4)	$\frac{{(6 c d^{2})}^{2}}{24 c^{5} d^{4}}$
60238	Simplify	(6yn^6)/((9y^2n^4)^2)	$\frac{6 y n^{6}}{{(9 y^{2} n^{4})}^{2}}$
60239	Simplify	((6z^3)^0)/(3zy^2)	$\frac{{(6 z^{3})}^{0}}{3 z y^{2}}$
60240	Simplify	((8y^3)^2)/(y^-3)	$\frac{{(8 y^{3})}^{2}}{y^{- 3}}$
60241	Simplify	((9u^2v^2)^-4(4u^-2v^3)^3)/((9u^2v^-3)^-2)	$\frac{{(9 u^{2} v^{2})}^{- 4} {(4 u^{- 2} v^{3})}^{3}}{{(9 u^{2} v^{- 3})}^{- 2}}$
60242	Simplify	(((a+3)^2)/(8a^3y))÷((a+2)/(ay))	$\frac{{(a + 3)}^{2}}{8 a^{3} y} \div \frac{a + 2}{a y}$
60243	Simplify	((a-b)^2)/((b-c)(c-a))+((b-c)^2)/((c-a)(a-b))+((c-a)^2)/((a-b)*(b-c))	$\frac{{(a - b)}^{2}}{(b - c) \cdot (c - a)} + \frac{{(b - c)}^{2}}{(c - a) \cdot (a - b)} + \frac{{(c - a)}^{2}}{(a - b) \cdot (b - c)}$
60244	Simplify	((k+m)^2)/(k-m)*k/(k^2+km)	$\frac{{(k + m)}^{2}}{k - m} \cdot \frac{k}{k^{2} + km}$
60245	Simplify	(((s+t)^2)/(s-t)*(s^3-t^3)/(s^2-t^2))÷((s^2+st+t^2)/((s-t)^2))	$\frac{{(s + t)}^{2}}{s - t} \cdot \frac{s^{3} - t^{3}}{s^{2} - t^{2}} \div \frac{s^{2} + s t + t^{2}}{{(s - t)}^{2}}$
60246	Simplify	(((t-9)^2)/(25-t^2))÷((t^2-81)/(t-5))	$\frac{{(t - 9)}^{2}}{25 - t^{2}} \div \frac{t^{2} - 81}{t - 5}$
60247	Simplify	((v+9)^3)/((v+7)^3)*(v^2+14v+49)/(v^2+18v+81)	$\frac{{(v + 9)}^{3}}{{(v + 7)}^{3}} \cdot \frac{v^{2} + 14 v + 49}{v^{2} + 18 v + 81}$
60248	Simplify	(((w+5)^2)/(w-5))÷(w^2)-25÷5w-25	$\frac{{(w + 5)}^{2}}{w - 5} \div w^{2} - 25 \div 5 w - 25$
60249	Simplify	((-y)^12)/((-y)^9)	$\frac{{(- y)}^{12}}{{(- y)}^{9}}$
60250	Simplify	(((y+3)^2)/(y^2-9))÷((3y+9)/(y+3))	$\frac{{(y + 3)}^{2}}{y^{2} - 9} \div \frac{3 y + 9}{y + 3}$
60251	Simplify	(((y+3)^2)/(y-3))÷((y^2-9)/(3y-9))	$\frac{{(y + 3)}^{2}}{y - 3} \div \frac{y^{2} - 9}{3 y - 9}$
60252	Simplify	(((y+7)^2)/(8y^3z))÷((y+7)/(yz))	$\frac{{(y + 7)}^{2}}{8 y^{3} z} \div \frac{y + 7}{y z}$
60253	Simplify	(((y-10)^2)/8)÷((8y-20)/64)	$\frac{{(y - 10)}^{2}}{8} \div \frac{8 y - 20}{64}$
60254	Simplify	(((y-12)^2)/4)÷((4y-48)/16)	$\frac{{(y - 12)}^{2}}{4} \div \frac{4 y - 48}{16}$
60255	Simplify	((y-9)^2)/(y-9)*(y-9)/(y-9)	$\frac{{(y - 9)}^{2}}{y - 9} \cdot \frac{y - 9}{y - 9}$
60256	Simplify	(((z+9)^2)/(6z^3w))÷((z+9)/(zw))	$\frac{{(z + 9)}^{2}}{6 z^{3} w} \div \frac{z + 9}{z w}$
60257	Simplify	((z+y)^2)/(z-y)*((z^3-y^3)/(z^2-y^2))/((z-y)^2)	$\frac{{(z + y)}^{2}}{z - y} \cdot \frac{\frac{z^{3} - y^{3}}{z^{2} - y^{2}}}{{(z - y)}^{2}}$
60258	Simplify	((3ab^2)^2)/((3a)^3)	$\frac{{(3 a b^{2})}^{2}}{{(3 a)}^{3}}$
60259	Simplify	(((4a^2-1)/(a^2-4))/(2a-1))/(a+2)	$\frac{\frac{\frac{4 a^{2} - 1}{a^{2} - 4}}{2 a - 1}}{a + 2}$
60260	Simplify	(((y-3)^2)/5)/((5y-15)/25)	$\frac{\frac{{(y - 3)}^{2}}{5}}{\frac{5 y - 15}{25}}$
60261	Simplify	(3^(n+2)-3^n)/(3^(n+1)+3^(n-1))	$\frac{3^{n + 2} - 3^{n}}{3^{n + 1} + 3^{n - 1}}$
60262	Simplify	(-(5/8)/5)/6	$\frac{- \frac{\frac{5}{8}}{5}}{6}$
60263	Simplify	((6w^4)/(w^2+2w-24))/((3w^2)/(w-4))	$\frac{\frac{6 w^{4}}{w^{2} + 2 w - 24}}{\frac{3 w^{2}}{w - 4}}$
60264	Simplify	(7y^4)/(6y)	$\frac{7 y^{4}}{6 y}$
60265	Simplify	(((8m-16)/(3m+3))/(5m-10))/(2m+2)	$\frac{\frac{\frac{8 m - 16}{3 m + 3}}{5 m - 10}}{2 m + 2}$
60266	Simplify	((a^2-b^2)/(a^2+b^2))/((15a-15b)/(3a^2+3b^2))	$\frac{\frac{a^{2} - b^{2}}{a^{2} + b^{2}}}{\frac{15 a - 15 b}{3 a^{2} + 3 b^{2}}}$
60267	Simplify	((a^2)/3)/(9/(a+2))	$\frac{\frac{a^{2}}{3}}{\frac{9}{a + 2}}$
60268	Simplify	((a^3-y^3)/(a^2-2ay+y^2))/((a^2-y^2)/(a^2+2ay+y^2))	$\frac{\frac{a^{3} - y^{3}}{a^{2} - 2 a y + y^{2}}}{\frac{a^{2} - y^{2}}{a^{2} + 2 a y + y^{2}}}$
60269	Simplify	(p^(-1/4)q^(-3/2))/((3^-1p^-2q^(-2/3))^-2)	$\frac{p^{- \frac{1}{4}} q^{- \frac{3}{2}}}{{(3^{- 1} p^{- 2} q^{- \frac{2}{3}})}^{- 2}}$
60270	Simplify	((t^2-1)/(9t+9))/((3t^2-6t+3)/(27t+27))	$\frac{\frac{t^{2} - 1}{9 t + 9}}{\frac{3 t^{2} - 6 t + 3}{27 t + 27}}$
60271	Simplify	((y^2+8y+15)/(y^2+9y+18))/((y^2-9y+14)/(y^2+4y-12))	$\frac{\frac{y^{2} + 8 y + 15}{y^{2} + 9 y + 18}}{\frac{y^{2} - 9 y + 14}{y^{2} + 4 y - 12}}$
60272	Simplify	((y^2-12y+36)/(y^2-4y-12))/((y^2-36)/2)	$\frac{\frac{y^{2} - 12 y + 36}{y^{2} - 4 y - 12}}{\frac{y^{2} - 36}{2}}$
60273	Simplify	((z^3)/(y^3))/((y^3)/(z^3))	$\frac{\frac{z^{3}}{y^{3}}}{\frac{y^{3}}{z^{3}}}$
60274	Simplify	(((z+5)/(z-6))/(z^2+4z-12))/(z^2-8z+12)	$\frac{\frac{\frac{z + 5}{z - 6}}{z^{2} + 4 z - 12}}{z^{2} - 8 z + 12}$
60275	Simplify	(\|((-a)^3)^5*(-a)^2\|)/(a^5)	$\frac{\| {({(- a)}^{3})}^{5} \cdot {(- a)}^{2} \|}{a^{5}}$
60276	Simplify	(\|1+2i\|)/(\|2-i\|)	$\frac{\| 1 + 2 i \|}{\| 2 - i \|}$
60277	Simplify	(\|15-26\|)/3+(\|-8+19\|)/2	$\frac{\| 15 - 26 \|}{3} + \frac{\| - 8 + 19 \|}{2}$
60278	Simplify	(1/12-4/y)/(7/(15y-y))	$\frac{\frac{1}{12} - \frac{4}{y}}{\frac{7}{15 y - y}}$
60279	Simplify	(1/16)/17 7/8	$\frac{\frac{1}{16}}{17 \frac{7}{8}}$
60280	Simplify	(1/2)/1	$\frac{\frac{1}{2}}{1}$
60281	Simplify	1/(2^2)+1/2*2 2/5	$\frac{1}{2^{2}} + \frac{1}{2} \cdot 2 \frac{2}{5}$
60282	Simplify	1/3(1)^3+5/2(1)^2-6*1+8	$\frac{1}{3} \cdot {(1)}^{3} + \frac{5}{2} \cdot {(1)}^{2} - 6 \cdot 1 + 8$
60283	Simplify	1/3(3)^3+5/2(3)^2-6*3+8	$\frac{1}{3} \cdot {(3)}^{3} + \frac{5}{2} \cdot {(3)}^{2} - 6 \cdot 3 + 8$
60284	Simplify	(1/3)/(1/5)+(3/6)/(6/15)	$\frac{\frac{1}{3}}{\frac{1}{5}} + \frac{\frac{3}{6}}{\frac{6}{15}}$
60285	Simplify	(1/(3y+3h)-1/(3y))/h	$\frac{\frac{1}{3 y + 3 h} - \frac{1}{3 y}}{h}$
60286	Simplify	(1/(3z)-1/(3y))/(1/(z+y))	$\frac{\frac{1}{3 z} - \frac{1}{3 y}}{\frac{1}{z + y}}$
60287	Simplify	(1/4)/((u^2)/4)	$\frac{\frac{1}{4}}{\frac{u^{2}}{4}}$
60288	Simplify	1/(4^2)+1/4*1 1/3	$\frac{1}{4^{2}} + \frac{1}{4} \cdot 1 \frac{1}{3}$
60289	Simplify	(1/5(a+b)+3b-a)/(-a+4/5(a+b))	$\frac{\frac{1}{5} \cdot (a + b) + 3 b - a}{- a + \frac{4}{5} \cdot (a + b)}$
60290	Simplify	(1/(5y))/(6/(y^2))	$\frac{\frac{1}{5 y}}{\frac{6}{y^{2}}}$
60291	Simplify	(-1/6)/(13/15)	$\frac{\frac{- 1}{6}}{\frac{13}{15}}$
60292	Simplify	(1/(a+1)+1)/(3/(a-1)+1)	$\frac{\frac{1}{a + 1} + 1}{\frac{3}{a - 1} + 1}$
60293	Simplify	(1/h+1/c)/(1/(h^2)-1/(c^2))	$\frac{\frac{1}{h} + \frac{1}{c}}{\frac{1}{h^{2}} - \frac{1}{c^{2}}}$
60294	Simplify	(1/(j-9))/(3/(j^2-81))	$\frac{\frac{1}{j - 9}}{\frac{3}{j^{2} - 81}}$
60295	Simplify	(1/(k+2))/(3/(k^2-4))	$\frac{\frac{1}{k + 2}}{\frac{3}{k^{2} - 4}}$
60296	Simplify	(1/(r+2)-3)/(4/r-r)	$\frac{\frac{1}{r + 2} - 3}{\frac{4}{r} - r}$
60297	Simplify	(1/z+3)/(1/z-9)	$\frac{\frac{1}{z} + 3}{\frac{1}{z} - 9}$
60298	Simplify	((1^2)/(3z))÷(y/(5z))	$\frac{1^{2}}{3 z} \div \frac{y}{5 z}$
60299	Simplify	(10/13)/(11/13)	$\frac{\frac{10}{13}}{\frac{11}{13}}$
60300	Simplify	(10^-2)/(10^-4)	$\frac{10^{- 2}}{10^{- 4}}$