Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10601	Write in Standard Form	(8+4i)/(2+i)	$\frac{8 + 4 i}{2 + i}$
10602	Write in Standard Form	(8-i)/(4+i)	$\frac{8 - i}{4 + i}$
10603	Write in Standard Form	(9-4i^2)/(3+2i)	$\frac{9 - 4 i^{2}}{3 + 2 i}$
10604	Write in Standard Form	(9-6i)/(5-7i)	$\frac{9 - 6 i}{5 - 7 i}$
10605	Write in Standard Form	(9i)/(3-7i)	$\frac{9 i}{3 - 7 i}$
10606	Write in Standard Form	6-(4i)/(2-i)	$6 - \frac{4 i}{2 - i}$
10607	Write in Standard Form	8+i/(8-i)	$8 + \frac{i}{8 - i}$
10608	Write in Standard Form	((3-i)(1-4i))/(2-i)	$\frac{(3 - i) (1 - 4 i)}{2 - i}$
10609	Write in Standard Form	(9+3i)/(7+2i)	$\frac{9 + 3 i}{7 + 2 i}$
10610	Multiply	(5n+6)(5n-5)	$(5 n + 6) (5 n - 5)$
10611	Multiply	(4x-5y)^2	${(4 x - 5 y)}^{2}$
10612	Write in Standard Form	(-26+36i)/(-40+42i)	$\frac{- 26 + 36 i}{- 40 + 42 i}$
10613	Write in Standard Form	(2-7i)/(9+i)	$\frac{2 - 7 i}{9 + i}$
10614	Write in Standard Form	(3+8i)/(6+9i)	$\frac{3 + 8 i}{6 + 9 i}$
10615	Write in Standard Form	(3-4i)/(2+7i)	$\frac{3 - 4 i}{2 + 7 i}$
10616	Write in Standard Form	(4+5i)/(1-3i)	$\frac{4 + 5 i}{1 - 3 i}$
10617	Write in Standard Form	(4+5i)/(2+7i)	$\frac{4 + 5 i}{2 + 7 i}$
10618	Write in Standard Form	(5-3i)/(4+3i)	$\frac{5 - 3 i}{4 + 3 i}$
10619	Write in Standard Form	(5-4i)/(4-i)	$\frac{5 - 4 i}{4 - i}$
10620	Simplify	(10p^4)/(6p)	$\frac{10 p^{4}}{6 p}$
10621	Simplify	(14v^3)/(21v^4)	$\frac{14 v^{3}}{21 v^{4}}$
10622	Simplify	(4( square root of 5+ square root of 7))/( square root of 35+5 square root of 5+ square root of 7)	$\frac{4 (\sqrt{5} + \sqrt{7})}{\sqrt{35} + 5 \sqrt{5} + \sqrt{7}}$
10623	Simplify	(4r^4s^5)/(24r^4s^-5)	$\frac{4 r^{4} s^{5}}{24 r^{4} s^{- 5}}$
10624	Simplify	(4y^4)/(14yz^8)	$\frac{4 y^{4}}{14 y z^{8}}$
10625	Simplify	(5n^8)/(20n^8)	$\frac{5 n^{8}}{20 n^{8}}$
10626	Simplify	((8c)/(6^2))÷((4c^5)/(5b^5c))	$\frac{8 c}{6^{2}} \div \frac{4 c^{5}}{5 b^{5} c}$
10627	Simplify	9/(2v+9)	$\frac{9}{2 v + 9}$
10628	Simplify	square root of 32/50	$\sqrt{\frac{32}{50}}$
10629	Simplify	square root of 14 square root of 10	$\sqrt{14 \sqrt{10}}$
10630	Simplify	2 square root of -1	$2 \sqrt{- 1}$
10631	Simplify	25÷( square root of 20)	$25 \div \sqrt{20}$
10632	Simplify	-4 square root of 405	$- 4 \sqrt{405}$
10633	Simplify	(520(mi))/hr	$\frac{520 (mi)}{h}$
10634	Factor	a^6-8	$a^{6} - 8$
10635	Factor	41(p+q)	$41 (p + q)$
10636	Factor	((my^2-m)/(y^2+2y+1))((y^4+8y)/(y^2+y-2))((m^2y-4m^2)/(y^2-2y+4))	$(\frac{m y^{2} - m}{y^{2} + 2 y + 1}) \cdot (\frac{y^{4} + 8 y}{y^{2} + y - 2}) \cdot (\frac{m^{2} y - 4 m^{2}}{y^{2} - 2 y + 4})$
10637	Factor	(n^2014-1)/((n-1)^2)	$\frac{n^{2014} - 1}{{(n - 1)}^{2}}$
10638	Factor	(((r^2-2r)/(r^2+8r+12))÷((r^3-5r^2+6r)/(r^2+10r+24)))÷((r+4)/(r+2))	$\frac{r^{2} - 2 r}{r^{2} + 8 r + 12} \div \frac{r^{3} - 5 r^{2} + 6 r}{r^{2} + 10 r + 24} \div \frac{r + 4}{r + 2}$
10639	Factor	-11/4+2 3/4	$- \frac{11}{4} + 2 \frac{3}{4}$
10640	Factor	15/8+2/5+-7/8	$\frac{15}{8} + \frac{2}{5} + \frac{- 7}{8}$
10641	Factor	(2mn)/((m-n)^2)	$\frac{2 m n}{{(m - n)}^{2}}$
10642	Factor	3/8	$\frac{3}{8}$
10643	Write in Standard Form	(-7i)/(5-4i)	$\frac{- 7 i}{5 - 4 i}$
10644	Simplify	(m^2-36m)/(36-m)	$\frac{m^{2} - 36 m}{36 - m}$
10645	Simplify	(m^3-mn^2)/(mn^2+m^2n-2m^3)	$\frac{m^{3} - m n^{2}}{m n^{2} + m^{2} n - 2 m^{3}}$
10646	Simplify	(m^3n^2)/(m^-1n^3)	$\frac{m^{3} n^{2}}{m^{- 1} n^{3}}$
10647	Simplify	(m^4)/(m^5)	$\frac{m^{4}}{m^{5}}$
10648	Simplify	(m^6)/(m^10)	$\frac{m^{6}}{m^{10}}$
10649	Simplify	(n^2(n+4))/(n(n+4))	$\frac{n^{2} (n + 4)}{n (n + 4)}$
10650	Simplify	(3^n-1)/2	$\frac{3^{n} - 1}{2}$
10651	Simplify	(-3^(n+1))/(2^(3n))	$\frac{- 3^{n + 1}}{2^{3 n}}$
10652	Simplify	(3^(q+3)-3^2*3^q)/(3(3^(q+4)))	$\frac{3^{q + 3} - 3^{2} \cdot 3^{q}}{3 (3^{q + 4})}$
10653	Simplify	( square root of 7+4i)( square root of 7-4i)	$(\sqrt{7} + 4 i) (\sqrt{7} - 4 i)$
10654	Simplify	((2m-5)/6)/(12m-30)	$\frac{\frac{2 m - 5}{6}}{12 m - 30}$
10655	Simplify	((3^2)/(4y))÷(y/9)	$\frac{3^{2}}{4 y} \div \frac{y}{9}$
10656	Simplify	(1/7+4/y)/(1/9-8/y)	$\frac{\frac{1}{7} + \frac{4}{y}}{\frac{1}{9} - \frac{8}{y}}$
10657	Simplify	(1/(7u)-3)/(2+1/(7u))	$\frac{\frac{1}{7 u} - 3}{2 + \frac{1}{7 u}}$
10658	Simplify	(1/a+3/(3b))/(1/a-5/(2b))	$\frac{\frac{1}{a} + \frac{3}{3 b}}{\frac{1}{a} - \frac{5}{2 b}}$
10659	Simplify	(1/m+1)/(3/(m^2-2m)+1/m)	$\frac{\frac{1}{m} + 1}{\frac{3}{m^{2} - 2 m} + \frac{1}{m}}$
10660	Simplify	(1/z-1/y)/(1/(z^3)-1/(y^3))	$\frac{\frac{1}{z} - \frac{1}{y}}{\frac{1}{z^{3}} - \frac{1}{y^{3}}}$
10661	Simplify	(10^2 square root of 3)/4	$\frac{10^{2} \sqrt{3}}{4}$
10662	Simplify	((11y)/(y-7))/(1/(6y-42))	$\frac{\frac{11 y}{y - 7}}{\frac{1}{6 y - 42}}$
10663	Simplify	(14+y)/(3^2)	$\frac{14 + y}{3^{2}}$
10664	Simplify	(-14q^7)/(-2q^6)	$\frac{- 14 q^{7}}{- 2 q^{6}}$
10665	Simplify	(15/(16-a)+16/(a-16))/(7/a+9/(a-16))	$\frac{\frac{15}{16 - a} + \frac{16}{a - 16}}{\frac{7}{a} + \frac{9}{a - 16}}$
10666	Simplify	(16/(m-1))/(16/5+16/25)	$\frac{\frac{16}{m - 1}}{\frac{16}{5} + \frac{16}{25}}$
10667	Simplify	((18^(p^2))/(q^3))÷((10p^2)/q)	$\frac{18^{p^{2}}}{q^{3}} \div \frac{10 p^{2}}{q}$
10668	Simplify	((2b^(2-12b))/(b+5))/((6-6)/(b+5))	$\frac{\frac{2 b^{2 - 12 b}}{b + 5}}{\frac{6 - 6}{b + 5}}$
10669	Simplify	(2/(p^2)-3/(5p))/(4/p+1/(4p))	$\frac{\frac{2}{p^{2}} - \frac{3}{5 p}}{\frac{4}{p} + \frac{1}{4 p}}$
10670	Simplify	(2/w+3/z)/(3/w-2/z)	$\frac{\frac{2}{w} + \frac{3}{z}}{\frac{3}{w} - \frac{2}{z}}$
10671	Simplify	(2^-3a^(2/3)b^4)/(2^-2a^(1/6)b^4)	$\frac{2^{- 3} a^{\frac{2}{3}} b^{4}}{2^{- 2} a^{\frac{1}{6}} b^{4}}$
10672	Simplify	((21a^3)/(49-a^2))/((3a^2)/(7-a))	$\frac{\frac{21 a^{3}}{49 - a^{2}}}{\frac{3 a^{2}}{7 - a}}$
10673	Simplify	((21y^2+4y-1)/(5y+3))/((3y+1)/(10y^2+y-3))	$\frac{\frac{21 y^{2} + 4 y - 1}{5 y + 3}}{\frac{3 y + 1}{10 y^{2} + y - 3}}$
10674	Simplify	(-27^(n+2)+63^(3n+3))/(3^n9^(n+2))	$\frac{- 27^{n + 2} + 6 \cdot 3^{3 n + 3}}{3^{n} \cdot 9^{n + 2}}$
10675	Simplify	((4h-12)/4)/((h^2-7h+12)/(9h^3+90h^2))	$\frac{\frac{4 h - 12}{4}}{\frac{h^{2} - 7 h + 12}{9 h^{3} + 90 h^{2}}}$
10676	Simplify	(5/(a^2)-1/(2a))/(2/a+5/(3a))	$\frac{\frac{5}{a^{2}} - \frac{1}{2 a}}{\frac{2}{a} + \frac{5}{3 a}}$
10677	Simplify	((6c^3y^4)/(12a^4b^2))÷((36c^4y^2)/(16a^9b))	$\frac{6 c^{3} y^{4}}{12 a^{4} b^{2}} \div \frac{36 c^{4} y^{2}}{16 a^{9} b}$
10678	Simplify	((7pq^2)/(10r^2s))/((14q^5)/(5r^3s^4))	$\frac{\frac{7 p q^{2}}{10 r^{2} s}}{\frac{14 q^{5}}{5 r^{3} s^{4}}}$
10679	Simplify	(7/A+8/B)/(8A+7B)	$\frac{\frac{7}{A} + \frac{8}{B}}{8 A + 7 B}$
10680	Simplify	(7/a+1)/(7/a-1)	$\frac{\frac{7}{a} + 1}{\frac{7}{a} - 1}$
10681	Simplify	(7/(z+8)+9/(z-4))/(8/(z-4)-9/(z+8))	$\frac{\frac{7}{z + 8} + \frac{9}{z - 4}}{\frac{8}{z - 4} - \frac{9}{z + 8}}$
10682	Simplify	(8^9)/6	$\frac{8^{9}}{6}$
10683	Simplify	(8^(-n+1)-4^(-n)*2^n)/(4(2^(2n))^-1)	$\frac{8^{- n + 1} - 4^{- n} \cdot 2^{n}}{4 {(2^{2 n})}^{- 1}}$
10684	Simplify	(8^(r+4))/(8^(r+1))	$\frac{8^{r + 4}}{8^{r + 1}}$
10685	Simplify	((8a^2)/(3y^2))÷((4a)/(6y^3))	$\frac{8 a^{2}}{3 y^{2}} \div \frac{4 a}{6 y^{3}}$
10686	Simplify	(9/(1+h)-9/1)/h	$\frac{\frac{9}{1 + h} - \frac{9}{1}}{h}$
10687	Simplify	(9/4+2)/(10/a-3)	$\frac{\frac{9}{4} + 2}{\frac{10}{a} - 3}$
10688	Simplify	((9^n)/(3^(n(n+1))))÷((3^(n+1))/(3^2))	$\frac{9^{n}}{3^{n (n + 1)}} \div \frac{3^{n + 1}}{3^{2}}$
10689	Simplify	((9k+63)/(k+7))/(9/(k+7))	$\frac{\frac{9 k + 63}{k + 7}}{\frac{9}{k + 7}}$
10690	Simplify	((a^15)/(b^15))÷((a^20)/(b^15))	$\frac{a^{15}}{b^{15}} \div \frac{a^{20}}{b^{15}}$
10691	Simplify	(a^2+2ab-c^2)/(b^2+2bc-a^2)	$\frac{a^{2} + 2 a b - c^{2}}{b^{2} + 2 b c - a^{2}}$
10692	Simplify	((a^2-14a+49)/(a^2-a-42))÷((a^2-49)/7)	$\frac{a^{2} - 14 a + 49}{a^{2} - a - 42} \div \frac{a^{2} - 49}{7}$
10693	Simplify	(a^2-2a)/((a+5)(a-2))	$\frac{a^{2} - 2 a}{(a + 5) (a - 2)}$
10694	Simplify	(a^2-2a-3)/(2a^2-5a-3)	$\frac{a^{2} - 2 a - 3}{2 a^{2} - 5 a - 3}$
10695	Simplify	(a^2-5a+6)/(a^2-4)	$\frac{a^{2} - 5 a + 6}{a^{2} - 4}$
10696	Simplify	(a^2-6a-40)/(20-2a^2)	$\frac{a^{2} - 6 a - 40}{20 - 2 a^{2}}$
10697	Simplify	((a^2-81)/(49a+441))÷((a-9)/63)	$\frac{a^{2} - 81}{49 a + 441} \div \frac{a - 9}{63}$
10698	Simplify	(a^2-8y+16)/(y^3-14y^2+40y)	$\frac{a^{2} - 8 y + 16}{y^{3} - 14 y^{2} + 40 y}$
10699	Simplify	((a^2-a-6)/(a^2-81))÷((a^2-7a-18)/(4a+36))	$\frac{a^{2} - a - 6}{a^{2} - 81} \div \frac{a^{2} - 7 a - 18}{4 a + 36}$
10700	Simplify	(a^2-ab)/(b^2-2ab)	$\frac{a^{2} - a b}{b^{2} - 2 a b}$