Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10101	Simplify	((4y^3z^(2/3))/(x^(1/2)))^2((x^-3y^6)/(8z^4))^(1/3)	${(\frac{4 y^{3} z^{\frac{2}{3}}}{x^{\frac{1}{2}}})}^{2} {(\frac{x^{- 3} y^{6}}{8 z^{4}})}^{\frac{1}{3}}$
10102	Simplify	((5x^2)/(y^-2))^-4	${(\frac{5 x^{2}}{y^{- 2}})}^{- 4}$
10103	Simplify	(4x^2-9)^6	${(4 x^{2} - 9)}^{6}$
10104	Simplify	(4x^2y^4)^3	${(4 x^{2} y^{4})}^{3}$
10105	Simplify	(4(cos(110)+isin(110)))^3	${(4 (\cos (110) + i \sin (110)))}^{3}$
10106	Simplify	(3-7j)/(2j)	$\frac{3 - 7 j}{2 j}$
10107	Simplify	(32x^-5*y^20)^(2/5)	${(32 x^{- 5} \cdot y^{20})}^{\frac{2}{5}}$
10108	Simplify	(-5-2i)^3	${(- 5 - 2 i)}^{3}$
10109	Simplify	(-5-4i)^2	${(- 5 - 4 i)}^{2}$
10110	Simplify	(4x-4)/x*(2x^2)/(9x-9)	$\frac{4 x - 4}{x} \cdot \frac{2 x^{2}}{9 x - 9}$
10111	Simplify	(-5c^2d^5)^3	${(- 5 c^{2} d^{5})}^{3}$
10112	Simplify	(5n^3)^2*n^-6	${(5 n^{3})}^{2} \cdot n^{- 6}$
10113	Simplify	(4+h)^2-3(4+h)	${(4 + h)}^{2} - 3 (4 + h)$
10114	Simplify	(4+i)^2-(5-i)^2	${(4 + i)}^{2} - {(5 - i)}^{2}$
10115	Simplify	(4b)^(1/2)(8b^(1/4))	${(4 b)}^{\frac{1}{2}} (8 b^{\frac{1}{4}})$
10116	Simplify	(-4p)/3	$\frac{- 4 p}{3}$
10117	Simplify	(9x)^(1/2)	${(9 x)}^{\frac{1}{2}}$
10118	Simplify	(a+h)^2+6	${(a + h)}^{2} + 6$
10119	Simplify	(cos(pi/4)+isin(pi/4))^3	${(\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))}^{3}$
10120	Simplify	(csc(x)-cot(x))^2	${(\csc (x) - \cot (x))}^{2}$
10121	Simplify	(m+n)^4	${(m + n)}^{4}$
10122	Simplify	(sec(x)+tan(x))^2	${(\sec (x) + \tan (x))}^{2}$
10123	Simplify	(8x^4y^6z)^(1/3)	${(8 x^{4} y^{6} z)}^{\frac{1}{3}}$
10124	Simplify	(8+9j)^2	${(8 + 9 j)}^{2}$
10125	Simplify	(x+h)^2-7(x+h)	${(x + h)}^{2} - 7 (x + h)$
10126	Simplify	(x+y)/3*(6x+9y)/(x+y)	$\frac{x + y}{3} \cdot \frac{6 x + 9 y}{x + y}$
10127	Simplify	(x-1)^2-9	${(x - 1)}^{2} - 9$
10128	Simplify	(x-11)^2+ square root of (x-11)^2-2	${(x - 11)}^{2} + \sqrt{{(x - 11)}^{2}} - 2$
10129	Simplify	(x+2)^2-6	${(x + 2)}^{2} - 6$
10130	Simplify	(x+2y)^5	${(x + 2 y)}^{5}$
10131	Simplify	(i)^-22	${(i)}^{- 22}$
10132	Simplify	(x+3)^2-4	${(x + 3)}^{2} - 4$
10133	Simplify	(x-15/2)^2+(y-7)^2	${(x - \frac{15}{2})}^{2} + {(y - 7)}^{2}$
10134	Simplify	(tan(x)+1)^2cos(x)	${(\tan (x) + 1)}^{2} \cos (x)$
10135	Simplify	(x-1/2)^2	${(x - \frac{1}{2})}^{2}$
10136	Simplify	64^2Y^12	$64^{2} Y^{12}$
10137	Simplify	(sin(3x)-sin(x))/(cos(3x)-cos(x))	$\frac{\sin (3 x) - \sin (x)}{\cos (3 x) - \cos (x)}$
10138	Simplify	(tan(280)-tan(55))/(1+tan(280)tan(55))	$\frac{\tan (280) - \tan (55)}{1 + \tan (280) \tan (55)}$
10139	Simplify	((tan(x)+1)(tan(x)+1)-sec(x)^2)/(tan(x))	$\frac{(\tan (x) + 1) (\tan (x) + 1) - \sec^{2} (x)}{\tan (x)}$
10140	Simplify	sin(30)^2+cos(30)^2	$\sin^{2} (30) + \cos^{2} (30)$
10141	Simplify	(x-3)^3-4	${(x - 3)}^{3} - 4$
10142	Simplify	(x-4)^2-9	${(x - 4)}^{2} - 9$
10143	Simplify	((4x+h)^2+(4x+h)-(4x^2+4x))/h	$\frac{{(4 x + h)}^{2} + (4 x + h) - (4 x^{2} + 4 x)}{h}$
10144	Simplify	((32/3)^(n-1))/((32/3)^n)	$\frac{{(\frac{32}{3})}^{n - 1}}{{(\frac{32}{3})}^{n}}$
10145	Simplify	((u^-1v^2)^3)/((u^3v^-2)^2)	$\frac{{(u^{- 1} v^{2})}^{3}}{{(u^{3} v^{- 2})}^{2}}$
10146	Simplify	((x^(-3/4)y^(-1/2))/(x^(2/3)y^(2/3)))^6	${(\frac{x^{- \frac{3}{4}} y^{- \frac{1}{2}}}{x^{\frac{2}{3}} y^{\frac{2}{3}}})}^{6}$
10147	Simplify	(3x+5)/(3y+7)	$\frac{3 x + 5}{3 y + 7}$
10148	Simplify	((3x)^3(6x))/(42x^2)	$\frac{{(3 x)}^{3} (6 x)}{42 x^{2}}$
10149	Simplify	((sin(x)+tan(x))^2+cos(x)^2-sec(x)^2)/(tan(x))	$\frac{{(\sin (x) + \tan (x))}^{2} + \cos^{2} (x) - \sec^{2} (x)}{\tan (x)}$
10150	Simplify	((x+h)^2-(x-h)^2)/(2h)	$\frac{{(x + h)}^{2} - {(x - h)}^{2}}{2 h}$
10151	Simplify	((-2r)^4)/((-2r)^-2)	$\frac{{(- 2 r)}^{4}}{{(- 2 r)}^{- 2}}$
10152	Simplify	((2x)(9+x)^8-8(9+x)^7x^2)/(((9+x)^8)^2)	$\frac{(2 x) {(9 + x)}^{8} - 8 {(9 + x)}^{7} x^{2}}{{({(9 + x)}^{8})}^{2}}$
10153	Simplify	((3u^2v^5w^-4)^3)/((2uv^-3w^2)^4)	$\frac{{(3 u^{2} v^{5} w^{- 4})}^{3}}{{(2 u v^{- 3} w^{2})}^{4}}$
10154	Simplify	((2x^-9y^3)^-2(9x^3y^-3)^0)/((2x^-4y^-6)^2)	$\frac{{(2 x^{- 9} y^{3})}^{- 2} {(9 x^{3} y^{- 3})}^{0}}{{(2 x^{- 4} y^{- 6})}^{2}}$
10155	Simplify	((xy^2z^3)^4)/((x^2y^2z)^3)	$\frac{{(x y^{2} z^{3})}^{4}}{{(x^{2} y^{2} z)}^{3}}$
10156	Simplify	((xy^2z^3)^4)/((x^3y^2z)^3)	$\frac{{(x y^{2} z^{3})}^{4}}{{(x^{3} y^{2} z)}^{3}}$
10157	Simplify	((x^3y^-1)^2)/((xy^2)^-2)	$\frac{{(x^{3} y^{- 1})}^{2}}{{(x y^{2})}^{- 2}}$
10158	Simplify	((xy^3z^3)^2)/((x^2y^4z)^3)	$\frac{{(x y^{3} z^{3})}^{2}}{{(x^{2} y^{4} z)}^{3}}$
10159	Simplify	(8+5i)-(-7+i)	$(8 + 5 i) - (- 7 + i)$
10160	Simplify	(6-8i)(6+8i)	$(6 - 8 i) (6 + 8 i)$
10161	Simplify	(8-i)-(7-i)	$(8 - i) - (7 - i)$
10162	Simplify	(7i-3)(2+6i)	$(7 i - 3) (2 + 6 i)$
10163	Simplify	(8- square root of -11)(8+ square root of -11)	$(8 - \sqrt{- 11}) (8 + \sqrt{- 11})$
10164	Simplify	(8+4i)-(3i+6)	$(8 + 4 i) - (3 i + 6)$
10165	Simplify	(8-3i)-(17-7i)	$(8 - 3 i) - (17 - 7 i)$
10166	Simplify	(7-6i)-(4+7i)	$(7 - 6 i) - (4 + 7 i)$
10167	Simplify	(7-i)(2+3i)	$(7 - i) (2 + 3 i)$
10168	Simplify	(7-i)(3+2i)	$(7 - i) (3 + 2 i)$
10169	Simplify	-7-9i+(-8+10i)	$- 7 - 9 i + (- 8 + 10 i)$
10170	Simplify	(-7-8i)-(-10-12i)	$(- 7 - 8 i) - (- 10 - 12 i)$
10171	Simplify	(-7-9i)(3+i)	$(- 7 - 9 i) (3 + i)$
10172	Simplify	7+i+(3-4i)	$7 + i + (3 - 4 i)$
10173	Simplify	(7-j)-(9+7j)	$(7 - j) - (9 + 7 j)$
10174	Simplify	(7j-6)-(19-3j)	$(7 j - 6) - (19 - 3 j)$
10175	Simplify	(-7+12i)-(3-6i)	$(- 7 + 12 i) - (3 - 6 i)$
10176	Simplify	7x^5-2x^4+3x^3-2x^2+7x-10+(5x-5)	$7 x^{5} - 2 x^{4} + 3 x^{3} - 2 x^{2} + 7 x - 10 + (5 x - 5)$
10177	Simplify	(6-5i)(3-4i)	$(6 - 5 i) (3 - 4 i)$
10178	Simplify	(7x^2+2x-4)-(5x^2+5-3x)	$(7 x^{2} + 2 x - 4) - (5 x^{2} + 5 - 3 x)$
10179	Simplify	(7+6i)(7-6i)	$(7 + 6 i) (7 - 6 i)$
10180	Simplify	(7+6i)-(-2+i)	$(7 + 6 i) - (- 2 + i)$
10181	Simplify	(7+2i)(4-6i)	$(7 + 2 i) (4 - 6 i)$
10182	Simplify	(4x-5)(16x^2+20x+25)	$(4 x - 5) (16 x^{2} + 20 x + 25)$
10183	Simplify	(5x-10y)(6x-7y)	$(5 x - 10 y) (6 x - 7 y)$
10184	Simplify	(5x^3-6x^2+3x+11)÷(x-2)	$(5 x^{3} - 6 x^{2} + 3 x + 11) \div (x - 2)$
10185	Simplify	(5x-6)-(9x-9)	$(5 x - 6) - (9 x - 9)$
10186	Simplify	(5v-4t)(5v+3t)	$(5 v - 4 t) (5 v + 3 t)$
10187	Simplify	(5i-3)(2i+1)	$(5 i - 3) (2 i + 1)$
10188	Simplify	(5x+6)(3x^2+8/3x-2/5-14/(5x+6))	$(5 x + 6) (3 x^{2} + \frac{8}{3} x - \frac{2}{5} - \frac{14}{5 x + 6})$
10189	Simplify	(5-7i)-(2-4i)	$(5 - 7 i) - (2 - 4 i)$
10190	Simplify	5-3x+(2x-8)	$5 - 3 x + (2 x - 8)$
10191	Simplify	5-8i	$5 - 8 i$
10192	Simplify	(5-2i)(1+i)	$(5 - 2 i) (1 + i)$
10193	Simplify	(5+9i)-(-4+i)	$(5 + 9 i) - (- 4 + i)$
10194	Simplify	(6+3i)(6-3i)	$(6 + 3 i) (6 - 3 i)$
10195	Simplify	-6+5i+(7+6i)+(3+5i)	$- 6 + 5 i + (7 + 6 i) + (3 + 5 i)$
10196	Simplify	(6+9i)-(-3+i)	$(6 + 9 i) - (- 3 + i)$
10197	Simplify	6m^2-4m-6+(6m-7)	$6 m^{2} - 4 m - 6 + (6 m - 7)$
10198	Simplify	(6x^3)(4x^7)(x^-5)	$(6 x^{3}) (4 x^{7}) (x^{- 5})$
10199	Simplify	(-6x^4-2x^2+6x-3)-(-12x^5+2x^3+x^2-7)	$(- 6 x^{4} - 2 x^{2} + 6 x - 3) - (- 12 x^{5} + 2 x^{3} + x^{2} - 7)$
10200	Simplify	(5+i)(-4-3i)	$(5 + i) (- 4 - 3 i)$