Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10801	Simplify	(9y^4+14y^2-8)/(3y+2)	$\frac{9 y^{4} + 14 y^{2} - 8}{3 y + 2}$
10802	Simplify	(9y)/(y^2)	$\frac{9 y}{y^{2}}$
10803	Simplify	(a+ square root of 2)^4	${(a + \sqrt{2})}^{4}$
10804	Simplify	((a+9)(a-1)^4)/((a+9)^2(a-1)^2)	$\frac{(a + 9) {(a - 1)}^{4}}{{(a + 9)}^{2} {(a - 1)}^{2}}$
10805	Simplify	((c-3)(c-2))/((c-2)(c+8))	$\frac{(c - 3) (c - 2)}{(c - 2) (c + 8)}$
10806	Simplify	-(-i square root of -3)^4	$- {(- i \sqrt{- 3})}^{4}$
10807	Simplify	(k square root of 2)^2	${(k \sqrt{2})}^{2}$
10808	Simplify	((m+1)(k+1))/((m-1)(k-1))	$\frac{(m + 1) (k + 1)}{(m - 1) (k - 1)}$
10809	Simplify	(y square root of 3)^2	${(y \sqrt{3})}^{2}$
10810	Simplify	((y-5)(y+3))/((y+5)(y-3))	$\frac{(y - 5) (y + 3)}{(y + 5) (y - 3)}$
10811	Simplify	(z-(z/(z-((z^2)/(z+1)))))/(z/z)	$\frac{z - (\frac{z}{z - (\frac{z^{2}}{z + 1})})}{\frac{z}{z}}$
10812	Simplify	(z+2i)/(z-2i)	$\frac{z + 2 i}{z - 2 i}$
10813	Simplify	((( square root of a)^3* fourth root of a^5)^2)÷( square root of a^7)	${({(\sqrt{a})}^{3} \cdot \sqrt[4]{a^{5}})}^{2} \div \sqrt{a^{7}}$
10814	Simplify	((2/(a^3b))^-2)/((2^-1a)^2(a^-2b)^3)	$\frac{{(\frac{2}{a^{3} b})}^{- 2}}{{(2^{- 1} a)}^{2} {(a^{- 2} b)}^{3}}$
10815	Simplify	((a^2b^3)^3(ab)^-2)/(ab)	$\frac{{(a^{2} b^{3})}^{3} {(a b)}^{- 2}}{a b}$
10816	Simplify	((a^4)^(1/3))/a	$\frac{{(a^{4})}^{\frac{1}{3}}}{a}$
10817	Simplify	((a^5*a^9)^-5)/(a^-15)	$\frac{{(a^{5} \cdot a^{9})}^{- 5}}{a^{- 15}}$
10818	Simplify	(((8)(1.25))/((-7)^3+3^2-f- cube root of -27))^3	${(\frac{(8) (1.25)}{{(- 7)}^{3} + 3^{2} - f - \sqrt[3]{- 27}})}^{3}$
10819	Simplify	((2a^3b^4)^2)/(a^2*(-ab))	$\frac{{(2 a^{3} b^{4})}^{2}}{a^{2} \cdot (- a b)}$
10820	Simplify	((-2j^-3w^5)^-3)/((4j^-5w^-5)^2)	$\frac{{(- 2 j^{- 3} w^{5})}^{- 3}}{{(4 j^{- 5} w^{- 5})}^{2}}$
10821	Simplify	((2m^2n^3)^2)/((m^2n^-2)^2*(2m^2n^4)^3)	$\frac{{(2 m^{2} n^{3})}^{2}}{{(m^{2} n^{- 2})}^{2} \cdot {(2 m^{2} n^{4})}^{3}}$
10822	Simplify	((2m^-2n^3)^-2)/((6m^-1n^-2)^-3)	$\frac{{(2 m^{- 2} n^{3})}^{- 2}}{{(6 m^{- 1} n^{- 2})}^{- 3}}$
10823	Simplify	((21ab^2)^-3)/((14^2ab^-2)^-33^-2a^3*b^-2)	$\frac{{(21 \cdot a \cdot b^{2})}^{- 3}}{{(14^{2} \cdot a \cdot b^{- 2})}^{- 3} \cdot 3^{- 2} \cdot a^{3} \cdot b^{- 2}}$
10824	Simplify	((2m-5)^2)/(2m^2-13m+20)	$\frac{{(2 m - 5)}^{2}}{2 m^{2} - 13 m + 20}$
10825	Simplify	((-3a^2bc)^4(-4ab^2c)^3)/((24a^2b^5c^2)^3)	$\frac{{(- 3 a^{2} b c)}^{4} {(- 4 a b^{2} c)}^{3}}{{(24 a^{2} b^{5} c^{2})}^{3}}$
10826	Simplify	((-3pq)^-2*(-2p^2q^-1r)^-3)/((-6p^2q)^-4)	$\frac{{(- 3 p q)}^{- 2} \cdot {(- 2 p^{2} q^{- 1} r)}^{- 3}}{{(- 6 p^{2} q)}^{- 4}}$
10827	Simplify	((-4k^8)^3)/((6m^6)^2)	$\frac{{(- 4 k^{8})}^{3}}{{(6 m^{6})}^{2}}$
10828	Simplify	(-2ny^-2)/( square root of ny^2)	$\frac{- 2 n y^{- 2}}{\sqrt{n y^{2}}}$
10829	Simplify	((2p^5q^6)^3)÷4p^2q^8	${(2 p^{5} q^{6})}^{3} \div 4 p^{2} q^{8}$
10830	Simplify	(2r^3-5r^2-6r+15)/(r-3)	$\frac{2 r^{3} - 5 r^{2} - 6 r + 15}{r - 3}$
10831	Simplify	(2u^4v^0*(4u^-5v^5))/(-4u^-1v^4)	$\frac{2 u^{4} v^{0} \cdot (4 u^{- 5} v^{5})}{- 4 u^{- 1} v^{4}}$
10832	Simplify	(2 square root of 2a)^2	${(2 \sqrt{2 a})}^{2}$
10833	Simplify	(2- square root of 3)^2	${(2 - \sqrt{3})}^{2}$
10834	Simplify	(2 square root of 5+ square root of 3)/(3 square root of 5+ square root of 3)	$\frac{2 \sqrt{5} + \sqrt{3}}{3 \sqrt{5} + \sqrt{3}}$
10835	Simplify	(2 square root of 5+3 square root of 7)^2	${(2 \sqrt{5} + 3 \sqrt{7})}^{2}$
10836	Simplify	(2 square root of 6)^2	${(2 \sqrt{6})}^{2}$
10837	Simplify	(2 square root of m+2)^2	${(2 \sqrt{m} + 2)}^{2}$
10838	Simplify	(2 cube root of 3)^4	${(2 \sqrt[3]{3})}^{4}$
10839	Simplify	(21-i square root of 18)/3	$\frac{21 - i \sqrt{18}}{3}$
10840	Simplify	(250448/658+100033/658+12.5*4620/658+6.25-(1250 22/658))/3	$\frac{250 \cdot \frac{448}{658} + 1000 \cdot \frac{33}{658} + 12.5 \cdot \frac{4620}{658} + 6.25 - (1250 \frac{22}{658})}{3}$
10841	Simplify	(2R square root of 2)^2	${(2 R \sqrt{2})}^{2}$
10842	Simplify	(2-s)/(s(s+2)(s+3))	$\frac{2 - s}{s (s + 2) (s + 3)}$
10843	Simplify	(2t-6)/(6t-4)	$\frac{2 t - 6}{6 t - 4}$
10844	Simplify	(-2x-3+8x^2)/(1+4x)	$\frac{- 2 x - 3 + 8 x^{2}}{1 + 4 x}$
10845	Simplify	(2y-5)/y	$\frac{2 y - 5}{y}$
10846	Simplify	(-3(4b^3)^2)/(12b^4)	$\frac{- 3 {(4 b^{3})}^{2}}{12 b^{4}}$
10847	Simplify	(3b^2-16b+17)/(b-7)	$\frac{3 b^{2} - 16 b + 17}{b - 7}$
10848	Simplify	(3h^2-h)/h	$\frac{3 h^{2} - h}{h}$
10849	Simplify	(((3t^2z^-4)*(34z^-2))/(2t^-2z^4))÷(((2tz)^5)/(t^4z^3))	$\frac{(3 t^{2} z^{- 4}) \cdot (34 z^{- 2})}{2 t^{- 2} z^{4}} \div \frac{{(2 t z)}^{5}}{t^{4} z^{3}}$
10850	Simplify	(3 square root of 17)^2	${(3 \sqrt{17})}^{2}$
10851	Simplify	((3 square root of 5)-2 square root of 3)/( square root of 3)	$\frac{(3 \sqrt{5}) - 2 \sqrt{3}}{\sqrt{3}}$
10852	Simplify	(3 square root of 6y)^2	${(3 \sqrt{6 y})}^{2}$
10853	Simplify	((3- square root of 7)(11+4 square root of 7))/(5+ square root of 7)	$\frac{(3 - \sqrt{7}) (11 + 4 \sqrt{7})}{5 + \sqrt{7}}$
10854	Simplify	(3 square root of 7-5 square root of 2)^3	${(3 \sqrt{7} - 5 \sqrt{2})}^{3}$
10855	Simplify	(3+ square root of 2)/(6-3 square root of 2)	$\frac{3 + \sqrt{2}}{6 - 3 \sqrt{2}}$
10856	Simplify	(-35y^2+28y+21)/7	$\frac{- 35 y^{2} + 28 y + 21}{7}$
10857	Simplify	((-3-6(h-3)^2)-(-57))/(-3-h-(-3))	$\frac{(- 3 - 6 {(h - 3)}^{2}) - (- 57)}{- 3 - h - (- 3)}$
10858	Simplify	(4 1/5-2 2/3)/2 2/3	$\frac{4 \frac{1}{5} - 2 \frac{2}{3}}{2 \frac{2}{3}}$
10859	Simplify	((4a^5b^2)^2)÷((2a^3b^5)^2)	${(4 a^{5} b^{2})}^{2} \div {(2 a^{3} b^{5})}^{2}$
10860	Simplify	(4 fourth root of 162)/( fourth root of 2)	$\frac{4 \sqrt[4]{162}}{\sqrt[4]{2}}$
10861	Simplify	( square root of y+ square root of 3)^2	${(\sqrt{y} + \sqrt{3})}^{2}$
10862	Simplify	( square root of y-2)^2	${(\sqrt{y} - 2)}^{2}$
10863	Simplify	(-10 root of 32* fourth root of 4)^2	${(- \sqrt[10]{32} \cdot \sqrt[4]{4})}^{2}$
10864	Simplify	( fourth root of 36)^-2	${(\sqrt[4]{36})}^{- 2}$
10865	Simplify	(( fifth root of a^2)( cube root of a))/( fifth root of a^3)	$\frac{(\sqrt[5]{a^{2}}) (\sqrt[3]{a})}{\sqrt[5]{a^{3}}}$
10866	Simplify	( fifth root of g^60)^(1/3) seventh root of t^14	${(\sqrt[5]{g^{60}})}^{\frac{1}{3}} \sqrt[7]{t^{14}}$
10867	Simplify	( fifth root of 32m^2n^10)^3	${(\sqrt[5]{32 m^{2} n^{10}})}^{3}$
10868	Simplify	(( fifth root of 32)^-3)÷(2^4)	${(\sqrt[5]{32})}^{- 3} \div 2^{4}$
10869	Simplify	( sixth root of b)^3	${(\sqrt[6]{b})}^{3}$
10870	Simplify	( seventh root of 2*y)^4	${(\sqrt[7]{2 \cdot y})}^{4}$
10871	Simplify	(w^2+w-20)/(w-4)	$\frac{w^{2} + w - 20}{w - 4}$
10872	Simplify	(w^2-2w)/(w^2+3w-10)	$\frac{w^{2} - 2 w}{w^{2} + 3 w - 10}$
10873	Simplify	(y^2+3y^2-14y+4)/(y-1)	$\frac{y^{2} + 3 y^{2} - 14 y + 4}{y - 1}$
10874	Simplify	(y^2+3y-20)/(y+7)	$\frac{y^{2} + 3 y - 20}{y + 7}$
10875	Simplify	(y^2-1)/(y^3-1)	$\frac{y^{2} - 1}{y^{3} - 1}$
10876	Simplify	(y^2-2y-3)/((y^2-3y-4)/((y^2+3y+2)/(y^2-2y-8)))	$\frac{y^{2} - 2 y - 3}{\frac{y^{2} - 3 y - 4}{\frac{y^{2} + 3 y + 2}{y^{2} - 2 y - 8}}}$
10877	Simplify	(y^3-y^2-22y-14)/(y+4)	$\frac{y^{3} - y^{2} - 22 y - 14}{y + 4}$
10878	Simplify	(y^3-y^2-33y-21)/(y+5)	$\frac{y^{3} - y^{2} - 33 y - 21}{y + 5}$
10879	Simplify	(y^4-2y^3-11y^2+30y-20)/(y^2+3y-2)	$\frac{y^{4} - 2 y^{3} - 11 y^{2} + 30 y - 20}{y^{2} + 3 y - 2}$
10880	Simplify	(7-1) square root of 45	$(7 - 1) \sqrt{45}$
10881	Simplify	(7-y) square root of 4	$(7 - y) \sqrt{4}$
10882	Simplify	(8.75-5)÷1 1/3	$(8.75 - 5) \div 1 \frac{1}{3}$
10883	Simplify	(8+ cube root of 21)(8- cube root of 21)	$(8 + \sqrt[3]{21}) (8 - \sqrt[3]{21})$
10884	Simplify	9 3/5÷2 1/5	$9 \frac{3}{5} \div 2 \frac{1}{5}$
10885	Simplify	(-9c^3+3*c^2-15c)÷(-3c)	$(- 9 c^{3} + 3 \cdot c^{2} - 15 c) \div (- 3 c)$
10886	Simplify	(9y^4+10y^2-1)÷(y-1/9)	$(9 y^{4} + 10 y^{2} - 1) \div (y - \frac{1}{9})$
10887	Simplify	(91y^3+21y^2-35y)÷7y	$(91 y^{3} + 21 y^{2} - 35 y) \div 7 y$
10888	Simplify	((a+b)(1/a-1/b))/(1/(b^2)-1/(a^2))	$\frac{(a + b) (\frac{1}{a} - \frac{1}{b})}{\frac{1}{b^{2}} - \frac{1}{a^{2}}}$
10889	Simplify	(a-b)÷(1-1/(a+b))	$(a - b) \div (1 - \frac{1}{a + b})$
10890	Simplify	(ab cube root of 2a^2b^2)(2b cube root of 4a^2b)	$(a b \sqrt[3]{2 a^{2} b^{2}}) (2 b \sqrt[3]{4 a^{2} b})$
10891	Simplify	(p fourth root of q^3)( fourth root of p^2q^3)	$(p \sqrt[4]{q^{3}}) (\sqrt[4]{p^{2} q^{3}})$
10892	Simplify	( square root of 5-10)( square root of 5-8)	$(\sqrt{5} - 10) (\sqrt{5} - 8)$
10893	Simplify	(y+4)÷((y^2+8y+16)/(ab))	$(y + 4) \div \frac{y^{2} + 8 y + 16}{a b}$
10894	Simplify	0.1602÷( square root of 34)	$0.1602 \div \sqrt{34}$
10895	Simplify	(3^(n+1)*2)÷(3^n)	$3^{n + 1} \cdot 2 \div 3^{n}$
10896	Simplify	((0.2 square root of 2)/2)^2	${(\frac{0.2 \sqrt{2}}{2})}^{2}$
10897	Simplify	((2-2i)/( square root of 8))^80	${(\frac{2 - 2 i}{\sqrt{8}})}^{80}$
10898	Simplify	(((2c)/b)^3)÷(8/(3bc))	${(\frac{2 c}{b})}^{3} \div \frac{8}{3 b c}$
10899	Simplify	((3z-3)/(z^2-2z-3))/((z-1)/(z^2-z-2))	$\frac{\frac{3 z - 3}{z^{2} - 2 z - 3}}{\frac{z - 1}{z^{2} - z - 2}}$
10900	Simplify	((7/15+14/45+2/4)10 1/3-1 1/11(2 2/3-1 3/4))/((3/7-1/4)/(3/28-1))	$\frac{(\frac{7}{15} + \frac{14}{45} + \frac{2}{4}) \cdot 10 \frac{1}{3} - 1 \frac{1}{11} \cdot (2 \frac{2}{3} - 1 \frac{3}{4})}{\frac{\frac{3}{7} - \frac{1}{4}}{\frac{3}{28} - 1}}$