Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11701	Simplify	1/(( square root of 3+ square root of 2)( fourth root of 3+ fourth root of 2))	$\frac{1}{(\sqrt{3} + \sqrt{2}) (\sqrt[4]{3} + \sqrt[4]{2})}$
11702	Simplify	1/(1/(a-2)-4)	$\frac{1}{\frac{1}{a - 2} - 4}$
11703	Simplify	1/(a^2-b^2)	$\frac{1}{a^{2} - b^{2}}$
11704	Simplify	1/(b^-3)	$\frac{1}{b^{- 3}}$
11705	Simplify	1/(i^43)	$\frac{1}{i^{43}}$
11706	Simplify	1/(m^-7)	$\frac{1}{m^{- 7}}$
11707	Simplify	1/r	$\frac{1}{r}$
11708	Simplify	1/( square root of 27)	$\frac{1}{\sqrt{27}}$
11709	Simplify	1/( square root of 5-2)	$\frac{1}{\sqrt{5 - 2}}$
11710	Simplify	1/(( square root of 6)*0.2 square root of 3)	$\frac{1}{(\sqrt{6}) \cdot 0.2 \sqrt{3}}$
11711	Simplify	(y^2-6y+8)/(y^2-16)	$\frac{y^{2} - 6 y + 8}{y^{2} - 16}$
11712	Simplify	((y^2-6y+9)/(-(y^2-4)))÷((y^2-9)/(y^2-8y+12))	$\frac{y^{2} - 6 y + 9}{- (y^{2} - 4)} \div \frac{y^{2} - 9}{y^{2} - 8 y + 12}$
11713	Simplify	(y^2-7y+6)/(-4y^2+8y-4)	$\frac{y^{2} - 7 y + 6}{- 4 y^{2} + 8 y - 4}$
11714	Simplify	((y^2-9)/(4y+12))÷((2y^2-12y+18)/(8y+24))	$\frac{y^{2} - 9}{4 y + 12} \div \frac{2 y^{2} - 12 y + 18}{8 y + 24}$
11715	Simplify	(y^3-y^2-y-1)/(3y+1)	$\frac{y^{3} - y^{2} - y - 1}{3 y + 1}$
11716	Simplify	(y^3+3y^2-4y-6)/(y^2+4y+1)	$\frac{y^{3} + 3 y^{2} - 4 y - 6}{y^{2} + 4 y + 1}$
11717	Simplify	(y^3+64)/(y^3-4y^2+16y)	$\frac{y^{3} + 64}{y^{3} - 4 y^{2} + 16 y}$
11718	Simplify	(y^3-8)/(y-2)	$\frac{y^{3} - 8}{y - 2}$
11719	Simplify	(y^5)/(y^-9)	$\frac{y^{5}}{y^{- 9}}$
11720	Simplify	(y^6z^3)/(y^6z^5)	$\frac{y^{6} z^{3}}{y^{6} z^{5}}$
11721	Simplify	(y^6)/(y^3)	$\frac{y^{6}}{y^{3}}$
11722	Simplify	(y^-7)/(y^-5)	$\frac{y^{- 7}}{y^{- 5}}$
11723	Simplify	(y^y-4y^3)/(y^2+3y-28)	$\frac{y^{y} - 4 y^{3}}{y^{2} + 3 y - 28}$
11724	Simplify	((y+1)/(y^2+2y-48))/((y-7)/(y-6))	$\frac{\frac{y + 1}{y^{2} + 2 y - 48}}{\frac{y - 7}{y - 6}}$
11725	Simplify	((y+2)/(y-1)-(y-3)/(y-2))/(y+2)	$\frac{\frac{y + 2}{y - 1} - \frac{y - 3}{y - 2}}{y + 2}$
11726	Simplify	((y+5)/y-2/(y-1))/(y/(y-1)+1/y)	$\frac{\frac{y + 5}{y} - \frac{2}{y - 1}}{\frac{y}{y - 1} + \frac{1}{y}}$
11727	Simplify	(z^(1/3))/(z^(1/2)z^(-3/2))	$\frac{z^{\frac{1}{3}}}{z^{\frac{1}{2}} z^{- \frac{3}{2}}}$
11728	Simplify	(z^(3/4))/(z^(5/4)*z^-2)	$\frac{z^{\frac{3}{4}}}{z^{\frac{5}{4}} \cdot z^{- 2}}$
11729	Simplify	(z^2-y^2)/(z^-2-y^-2)	$\frac{z^{2} - y^{2}}{z^{- 2} - y^{- 2}}$
11730	Simplify	(z^2+8z+7)/(6z^2-6)	$\frac{z^{2} + 8 z + 7}{6 z^{2} - 6}$
11731	Simplify	(z^2-1)/(z-2z+1)	$\frac{z^{2} - 1}{z - 2 z + 1}$
11732	Simplify	(z^2-3z+2)/(z^2+2z-3)	$\frac{z^{2} - 3 z + 2}{z^{2} + 2 z - 3}$
11733	Simplify	(z^2-4y^2)/(z^2-4zy+4y^2)	$\frac{z^{2} - 4 y^{2}}{z^{2} - 4 z y + 4 y^{2}}$
11734	Simplify	((z^2-4)/(z^2+2z-35))÷((z^2+2z)/(z^2-10z+25))	$\frac{z^{2} - 4}{z^{2} + 2 z - 35} \div \frac{z^{2} + 2 z}{z^{2} - 10 z + 25}$
11735	Simplify	((z^2-4)/(z-3))÷((z+2)/(z^2+z-12))	$\frac{z^{2} - 4}{z - 3} \div \frac{z + 2}{z^{2} + z - 12}$
11736	Simplify	(z^2-4z-45)/(z^2+10z+25)	$\frac{z^{2} - 4 z - 45}{z^{2} + 10 z + 25}$
11737	Simplify	((z^2-64)/(z^2-14z+49))÷((6z-48)/(z^2-6z-7))	$\frac{z^{2} - 64}{z^{2} - 14 z + 49} \div \frac{6 z - 48}{z^{2} - 6 z - 7}$
11738	Simplify	((z^2-64)/z)÷((z+8)/(z+9))	$\frac{z^{2} - 64}{z} \div \frac{z + 8}{z + 9}$
11739	Simplify	((z^2-8z-9)/(z^2-2z+1))÷((z-9)/(z-1))	$\frac{z^{2} - 8 z - 9}{z^{2} - 2 z + 1} \div \frac{z - 9}{z - 1}$
11740	Simplify	(v^2+v)/(v^2+2v)	$\frac{v^{2} + v}{v^{2} + 2 v}$
11741	Simplify	(v^2-5v+4)/(5v^2-5)	$\frac{v^{2} - 5 v + 4}{5 v^{2} - 5}$
11742	Simplify	((v^2-5v-36)/(v^2-8v+16))÷((v-9)/(v-4))	$\frac{v^{2} - 5 v - 36}{v^{2} - 8 v + 16} \div \frac{v - 9}{v - 4}$
11743	Simplify	(v^2-8v+12)/(3v^2-12)	$\frac{v^{2} - 8 v + 12}{3 v^{2} - 12}$
11744	Simplify	(12 root of 1/5)^24	${(\sqrt[12]{\frac{1}{5}})}^{24}$
11745	Simplify	( square root of 225)/( square root of 3375)	$\frac{\sqrt{225}}{\sqrt{3375}}$
11746	Simplify	( square root of 9p^15)/( square root of 10r^3)	$\frac{\sqrt{9 p^{15}}}{\sqrt{10 r^{3}}}$
11747	Simplify	( cube root of square root of y)^5	${(\sqrt[3]{\sqrt{y}})}^{5}$
11748	Simplify	( cube root of (-3)^0-19/(3^3)+0.14÷(3^-2))/(4/3-(7÷( square root of 4)7+ fifth root of (-3/2)^4-2^4(5/32)^-1))	$\frac{\sqrt[3]{{(- 3)}^{0} - \frac{19}{3^{3}}} + 0.14 \div 3^{- 2}}{\frac{4}{3} - (7 \div \sqrt{4} \cdot 7 + \sqrt[5]{{(- \frac{3}{2})}^{4} - 2^{4}} \cdot {(\frac{5}{32})}^{- 1})}$
11749	Simplify	( cube root of 343/64)/( square root of 100/121)	$\frac{\sqrt[3]{\frac{343}{64}}}{\sqrt{\frac{100}{121}}}$
11750	Simplify	( cube root of c^2d)/( cube root of 5d^2)	$\frac{\sqrt[3]{c^{2} d}}{\sqrt[3]{5 d^{2}}}$
11751	Simplify	( cube root of m^2)/( fourth root of m)	$\frac{\sqrt[3]{m^{2}}}{\sqrt[4]{m}}$
11752	Simplify	( cube root of r^19)/( cube root of 27s^12)	$\frac{\sqrt[3]{r^{19}}}{\sqrt[3]{27 s^{12}}}$
11753	Simplify	( cube root of y^4)/( cube root of y^2)	$\frac{\sqrt[3]{y^{4}}}{\sqrt[3]{y^{2}}}$
11754	Simplify	( cube root of 1000)/( cube root of 125)	$\frac{\sqrt[3]{1000}}{\sqrt[3]{125}}$
11755	Simplify	( cube root of 108a^4b^5)/( cube root of 4a^2b^4)	$\frac{\sqrt[3]{108 a^{4} b^{5}}}{\sqrt[3]{4 a^{2} b^{4}}}$
11756	Simplify	( cube root of 108)/( cube root of 4)	$\frac{\sqrt[3]{108}}{\sqrt[3]{4}}$
11757	Simplify	( cube root of 11664)/10000	$\frac{\sqrt[3]{11664}}{10000}$
11758	Simplify	( cube root of 2)/2	$\frac{\sqrt[3]{2}}{2}$
11759	Simplify	( cube root of 243y^8)/( cube root of 9y)	$\frac{\sqrt[3]{243 y^{8}}}{\sqrt[3]{9 y}}$
11760	Simplify	( cube root of 250)/( cube root of 2)	$\frac{\sqrt[3]{250}}{\sqrt[3]{2}}$
11761	Simplify	( cube root of 2w)/( cube root of 3v^2)	$\frac{\sqrt[3]{2 w}}{\sqrt[3]{3 v^{2}}}$
11762	Simplify	( cube root of 3m^4)/( ninth root of 27m^2)	$\frac{\sqrt[3]{3 m^{4}}}{\sqrt[9]{27 m^{2}}}$
11763	Simplify	( cube root of 5y^4)/( cube root of 15c^4)	$\frac{\sqrt[3]{5 y^{4}}}{\sqrt[3]{15 c^{4}}}$
11764	Simplify	( cube root of 6)/( cube root of 4)	$\frac{\sqrt[3]{6}}{\sqrt[3]{4}}$
11765	Simplify	( cube root of 64a^3b^9)/(216c^6d^18)	$\frac{\sqrt[3]{64 a^{3} b^{9}}}{216 c^{6} d^{18}}$
11766	Simplify	( cube root of 81z^13y^15)/( cube root of 8z^9y^7)	$\frac{\sqrt[3]{81 z^{13} y^{15}}}{\sqrt[3]{8 z^{9} y^{7}}}$
11767	Simplify	( cube root of 9)/( cube root of 3)	$\frac{\sqrt[3]{9}}{\sqrt[3]{3}}$
11768	Simplify	( cube root of 9)/( fifth root of 27)	$\frac{\sqrt[3]{9}}{\sqrt[5]{27}}$
11769	Simplify	( cube root of y^2)/( fifth root of y^2)	$\frac{\sqrt[3]{y^{2}}}{\sqrt[5]{y^{2}}}$
11770	Simplify	( fourth root of a^3y^2)/( fourth root of ay^3)	$\frac{\sqrt[4]{a^{3} y^{2}}}{\sqrt[4]{a y^{3}}}$
11771	Simplify	( fourth root of G^3)/( cube root of G^2)	$\frac{\sqrt[4]{G^{3}}}{\sqrt[3]{G^{2}}}$
11772	Simplify	( fourth root of 2)/( fourth root of 216)	$\frac{\sqrt[4]{2}}{\sqrt[4]{216}}$
11773	Simplify	( fourth root of 256)/( fourth root of 9y^5)	$\frac{\sqrt[4]{256}}{\sqrt[4]{9 y^{5}}}$
11774	Simplify	( fourth root of 2u)/( fourth root of 27a^3)	$\frac{\sqrt[4]{2 u}}{\sqrt[4]{27 a^{3}}}$
11775	Simplify	( fourth root of 2w)/( fourth root of 27z^3)	$\frac{\sqrt[4]{2 w}}{\sqrt[4]{27 z^{3}}}$
11776	Simplify	( fourth root of 3)/( square root of 0)	$\frac{\sqrt[4]{3}}{\sqrt{0}}$
11777	Simplify	( fourth root of 80c^21y^21)/( fourth root of 5cy^13)	$\frac{\sqrt[4]{80 c^{21} y^{21}}}{\sqrt[4]{5 c y^{13}}}$
11778	Simplify	( fourth root of 96y)^18z^8	${(\sqrt[4]{96 y})}^{18} z^{8}$
11779	Simplify	(416 root of a+b)^416	${(\sqrt[416]{a + b})}^{416}$
11780	Simplify	( fifth root of z^4)/( eighth root of z^3)	$\frac{\sqrt[5]{z^{4}}}{\sqrt[8]{z^{3}}}$
11781	Simplify	( sixth root of square root of m)/( square root of 4 sixth root of m)	$\frac{\sqrt[6]{\sqrt{m}}}{\sqrt{4 \sqrt[6]{m}}}$
11782	Simplify	( seventh root of y-2)^7	${(\sqrt[7]{y - 2})}^{7}$
11783	Simplify	(w^-2+y^-2)/(w^-1+y^-1)	$\frac{w^{- 2} + y^{- 2}}{w^{- 1} + y^{- 1}}$
11784	Simplify	(w^2-3w-40)/(3w^2+12w-15)	$\frac{w^{2} - 3 w - 40}{3 w^{2} + 12 w - 15}$
11785	Simplify	(w^2-5w+4)/(6-6w^2)	$\frac{w^{2} - 5 w + 4}{6 - 6 w^{2}}$
11786	Simplify	(w^2-7w+6)/(2w^2-72)	$\frac{w^{2} - 7 w + 6}{2 w^{2} - 72}$
11787	Simplify	(-4x^35y^5)/(x^82y^2)	$\frac{- 4 x^{3} \cdot 5 y^{5}}{x^{8} \cdot 2 y^{2}}$
11788	Simplify	(y/(y-z))/((y^2)/(y^2-z^2))	$\frac{\frac{y}{y - z}}{\frac{y^{2}}{y^{2} - z^{2}}}$
11789	Simplify	(y^(1/7(y^(20/7)-y^(27/7))))/(y^(1/2(y^(1/2)-y^(-1/2))))	$\frac{y^{\frac{1}{7} \cdot (y^{\frac{20}{7}} - y^{\frac{27}{7}})}}{y^{\frac{1}{2} \cdot (y^{\frac{1}{2}} - y^{- \frac{1}{2}})}}$
11790	Simplify	(y^(3/2))/(y^(-1/3))	$\frac{y^{\frac{3}{2}}}{y^{- \frac{1}{3}}}$
11791	Simplify	(y^2(y^2+3y+2))/(2y(y-4)(y+2))	$\frac{y^{2} (y^{2} + 3 y + 2)}{2 y (y - 4) (y + 2)}$
11792	Simplify	-(y^2(14z^4-11))/(2z)	$- \frac{y^{2} (14 z^{4} - 11)}{2 z}$
11793	Simplify	(( square root of 81)/( square root of 36))÷(( square root of 3)/( square root of 2))	$\frac{\sqrt{81}}{\sqrt{36}} \div \frac{\sqrt{3}}{\sqrt{2}}$
11794	Simplify	( square root of 81+9)/(37+2(18-9)-6^2-10)	$\frac{\sqrt{81} + 9}{37 + 2 (18 - 9) - 6^{2} - 10}$
11795	Simplify	( square root of 88yz^3)/( square root of 8y)	$\frac{\sqrt{88 y z^{3}}}{\sqrt{8 y}}$
11796	Simplify	( square root of 9+h-3)/h	$\frac{\sqrt{9 + h} - 3}{h}$
11797	Simplify	( square root of 90)/10	$\frac{\sqrt{90}}{10}$
11798	Simplify	( square root of 98.7)/1.94	$\frac{\sqrt{98.7}}{1.94}$
11799	Simplify	( square root of 98a^6b^4)/( square root of 2a^3b^2)	$\frac{\sqrt{98 a^{6} b^{4}}}{\sqrt{2 a^{3} b^{2}}}$
11800	Simplify	( square root of 99cy^3)/( square root of 9c)	$\frac{\sqrt{99 c y^{3}}}{\sqrt{9 c}}$