Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
39101	Simplify	(3-9i)^2	${(3 - 9 i)}^{2}$
39102	Simplify	(36x^8)^(1/2)	${(36 x^{8})}^{\frac{1}{2}}$
39103	Simplify	(3x)^(3/5)	${(3 x)}^{\frac{3}{5}}$
39104	Simplify	(4x^2b)^3	${(4 x^{2} b)}^{3}$
39105	Simplify	(4x^3)^3	${(4 x^{3})}^{3}$
39106	Simplify	(3h^3)^4	${(3 h^{3})}^{4}$
39107	Simplify	(8+i)^2	${(8 + i)}^{2}$
39108	Simplify	(7-6i)^2	${(7 - 6 i)}^{2}$
39109	Simplify	(-i)^12	${(- i)}^{12}$
39110	Simplify	(-i)^7	${(- i)}^{7}$
39111	Simplify	(9x^8)^(1/2)	${(9 x^{8})}^{\frac{1}{2}}$
39112	Simplify	(5x-6)^2	${(5 x - 6)}^{2}$
39113	Simplify	(-6x)^0	${(- 6 x)}^{0}$
39114	Simplify	(4x-9)^2	${(4 x - 9)}^{2}$
39115	Simplify	(4x+2)^2	${(4 x + 2)}^{2}$
39116	Simplify	(5x^5y)^3(x/(5y))^2	${(5 x^{5} y)}^{3} {(\frac{x}{5 y})}^{2}$
39117	Simplify	(n^2+2n-24)/(n^2-11n+28)	$\frac{n^{2} + 2 n - 24}{n^{2} - 11 n + 28}$
39118	Simplify	(1/a+1)/(1/a-1)	$\frac{\frac{1}{a} + 1}{\frac{1}{a} - 1}$
39119	Simplify	(x-0)^2	${(x - 0)}^{2}$
39120	Simplify	((2x^(1/4))^3)/(x^(1/12))	$\frac{{(2 x^{\frac{1}{4}})}^{3}}{x^{\frac{1}{12}}}$
39121	Simplify	((3y^(1/5))^4)/(y^(1/20))	$\frac{{(3 y^{\frac{1}{5}})}^{4}}{y^{\frac{1}{20}}}$
39122	Simplify	16^(1/2)	$16^{\frac{1}{2}}$
39123	Solve by Addition/Elimination	-x=-3y+16 5x+3y=19	$- x = - 3 y + 16$ $5 x + 3 y = 19$
39124	Simplify	16^(1/4)	$16^{\frac{1}{4}}$
39125	Simplify	16^(-3/4)	$16^{- \frac{3}{4}}$
39126	Simplify	(2x^4)/(10y^2)*(5y^3)/(4x^3)	$\frac{2 x^{4}}{10 y^{2}} \cdot \frac{5 y^{3}}{4 x^{3}}$
39127	Solve by Addition/Elimination	x-2y=3 2x-3y=9	$x - 2 y = 3$ $2 x - 3 y = 9$
39128	Simplify	(2x^4)/(10y^-2)*(5y^3)/(4x^3)	$\frac{2 x^{4}}{10 y^{- 2}} \cdot \frac{5 y^{3}}{4 x^{3}}$
39129	Simplify	(x^3-9x)/(x^2+6x+9)*(x^3+3x^2)/(x-3)	$\frac{x^{3} - 9 x}{x^{2} + 6 x + 9} \cdot \frac{x^{3} + 3 x^{2}}{x - 3}$
39130	Simplify	(x^2-81)/(x^2)*(x^2-9x)/(x^2+x-90)	$\frac{x^{2} - 81}{x^{2}} \cdot \frac{x^{2} - 9 x}{x^{2} + x - 90}$
39131	Simplify	(x^2-81)/(x^2-8x-9)*(x+1)/x	$\frac{x^{2} - 81}{x^{2} - 8 x - 9} \cdot \frac{x + 1}{x}$
39132	Simplify	(x^2y)/(4xy)x/6(3y^5)/(x^4)	$\frac{x^{2} y}{4 x y} \cdot \frac{x}{6} \cdot \frac{3 y^{5}}{x^{4}}$
39133	Simplify	(x^2-64)/(x^2-3x-40)*(x+5)/x	$\frac{x^{2} - 64}{x^{2} - 3 x - 40} \cdot \frac{x + 5}{x}$
39134	Solve by Addition/Elimination	x-y=2 -3x+3y=-6	$x - y = 2$ $- 3 x + 3 y = - 6$
39135	Simplify	(x^2-64)/(x^2-4x-32)*(x+4)/x	$\frac{x^{2} - 64}{x^{2} - 4 x - 32} \cdot \frac{x + 4}{x}$
39136	Simplify	(x^2-49)/(x^2-5x-14)*(x+2)/x	$\frac{x^{2} - 49}{x^{2} - 5 x - 14} \cdot \frac{x + 2}{x}$
39137	Simplify	(y^2-2y)/(y^2+7y-18)*(y^2-81)/(y^2-11y+18)	$\frac{y^{2} - 2 y}{y^{2} + 7 y - 18} \cdot \frac{y^{2} - 81}{y^{2} - 11 y + 18}$
39138	Solve by Addition/Elimination	y=x+36/36 , 108x+72y=102	$y = x + \frac{36}{36}$ , $108 x + 72 y = 102$
39139	Simplify	(x^14)/x	$\frac{x^{14}}{x}$
39140	Simplify	(x^13)/x	$\frac{x^{13}}{x}$
39141	Find the Slope and y-intercept	(2,-2) , (4,1)	$(2, - 2) (4, 1)$
39142	Simplify	(x^2+3x-4)/(x^2+4x+4)*(2x^2+4x)/(x^2-4x+3)	$\frac{x^{2} + 3 x - 4}{x^{2} + 4 x + 4} \cdot \frac{2 x^{2} + 4 x}{x^{2} - 4 x + 3}$
39143	Find the Slope and y-intercept	(-3,5) , (2,10)	$(- 3, 5) (2, 10)$
39144	Find the Slope and y-intercept	(3,-2) , (6,4)	$(3, - 2) (6, 4)$
39145	Simplify	cube root of 16x^4- cube root of 128x	$\sqrt[3]{16 x^{4}} - \sqrt[3]{128 x}$
39146	Simplify	square root of x+ square root of x	$\sqrt{x} + \sqrt{x}$
39147	Find the Slope and y-intercept	(-4,0) , (0,5)	$(- 4, 0) (0, 5)$
39148	Simplify	x^(1/2)*x^(3/4)	$x^{\frac{1}{2}} \cdot x^{\frac{3}{4}}$
39149	Find the Slope and y-intercept	(4,1) , (0,-4)	$(4, 1) (0, - 4)$
39150	Simplify	seventh root of x* seventh root of x* seventh root of x* seventh root of x	$\sqrt[7]{x} \cdot \sqrt[7]{x} \cdot \sqrt[7]{x} \cdot \sqrt[7]{x}$
39151	Simplify	3(x+h)^2	$3 {(x + h)}^{2}$
39152	Find the Slope and y-intercept	(1,3) , (4,-3)	$(1, 3) (4, - 3)$
39153	Simplify	x^2-5x	$x^{2} - 5 x$
39154	Find the Slope and y-intercept	(0,-a) , (b,0)	$(0, - a) (b, 0)$
39155	Find the Slope and y-intercept	(0,3) , (2,-1)	$(0, 3) (2, - 1)$
39156	Simplify	x^(5/3)*x^(4/3)	$x^{\frac{5}{3}} \cdot x^{\frac{4}{3}}$
39157	Find the Slope and y-intercept	(0,3) , (4,7)	$(0, 3) (4, 7)$
39158	Simplify	x^(-2/3)*x^(5/3)	$x^{- \frac{2}{3}} \cdot x^{\frac{5}{3}}$
39159	Find the Slope and y-intercept	(0,20000) , (1,18000)	$(0, 20000) (1, 18000)$
39160	Find the Slope and y-intercept	(-1,0) , (0,3)	$(- 1, 0) (0, 3)$
39161	Find the Slope and y-intercept	(-1,-1) , (-4,5)	$(- 1, - 1) (- 4, 5)$
39162	Simplify	x^2+5x+6	$x^{2} + 5 x + 6$
39163	Simplify	(x-3)/(3-x)	$\frac{x - 3}{3 - x}$
39164	Find the Difference of the Two Functions	f(x)=3x-4 , g(x)=9x-6	$f (x) = 3 x - 4$ , $g (x) = 9 x - 6$
39165	Find the Difference of the Two Functions	f(x)=x+6 , g(x)=x-6	$f (x) = x + 6$ , $g (x) = x - 6$
39166	Simplify	(x+3)/4*(3(x-6))/(3(x+3))	$\frac{x + 3}{4} \cdot \frac{3 (x - 6)}{3 (x + 3)}$
39167	Simplify	y^5*y^3	$y^{5} \cdot y^{3}$
39168	Simplify	(x-8)/(8-x)	$\frac{x - 8}{8 - x}$
39169	Simplify	12x^3	$12 x^{3}$
39170	Simplify	-10x^0	$- 10 x^{0}$
39171	Find the LCD	15/(16a^3b^3)	$\frac{15}{16 a^{3} b^{3}}$
39172	Simplify	-2(x+3)	$- 2 (x + 3)$
39173	Simplify	-15r+3(2s-4r)	$- 15 r + 3 (2 s - 4 r)$
39174	Find the Roots (Zeros)	y^2-2y=-9/2	$y^{2} - 2 y = - \frac{9}{2}$
39175	Find the LCD	-3/y-2/(9y^2)	$\frac{- 3}{y} \frac{- 2}{9 y^{2}}$
39176	Find the LCD	5/(16a^3b^3)	$\frac{5}{16 a^{3} b^{3}}$
39177	Solve for x	4-2x<6-3x	$4 - 2 x < 6 - 3 x$
39178	Solve for x	-4x=-12	$- 4 x = - 12$
39179	Find the LCD	a/(a^2-81)(-9a)/(a^2+8a-9)	$\frac{a}{a^{2} - 81} \frac{- 9 a}{a^{2} + 8 a - 9}$
39180	Solve for x	-2x<8	$- 2 x < 8$
39181	Find the LCD	(a^3)/(a^2-6a+9)-4/(a^2-4a+3)	$\frac{a^{3}}{a^{2} - 6 a + 9} \frac{- 4}{a^{2} - 4 a + 3}$
39182	Solve for x	2x-3<3x+4	$2 x - 3 < 3 x + 4$
39183	Find the LCD	(n^5)/(n^2+2n+1)-4/(n^2-3n-4)	$\frac{n^{5}}{n^{2} + 2 n + 1} \frac{- 4}{n^{2} - 3 n - 4}$
39184	Solve for x	2x+30=7x	$2 x + 30 = 7 x$
39185	Find the LCD	(m+3)/(m^2-6m+9)-(m+2)/(m^2-9)-5/(m-3)	$\frac{m + 3}{m^{2} - 6 m + 9} - \frac{m + 2}{m^{2} - 9} - \frac{5}{m - 3}$
39186	Solve for x	\|2x-3\|>5	$\| 2 x - 3 \| > 5$
39187	Solve for x	\|-8x\|=8	$\| - 8 x \| = 8$
39188	Solve for x	\|6-4x\|=1	$\| 6 - 4 x \| = 1$
39189	Find the LCD	a/(a^2-4)(-5a)/(a^2+4a-12)	$\frac{a}{a^{2} - 4} \frac{- 5 a}{a^{2} + 4 a - 12}$
39190	Solve for x	\|x-6\|=1	$\| x - 6 \| = 1$
39191	Find the LCD	y/(y^2-4)(8y)/(y^2+7y+10)	$\frac{y}{y^{2} - 4} \frac{8 y}{y^{2} + 7 y + 10}$
39192	Solve for x	4/5x-1/8=7/10x-8/5	$\frac{4}{5} x - \frac{1}{8} = \frac{7}{10} x - \frac{8}{5}$
39193	Find the LCD	y/(y^2-49)y/(y^2+6y-7)	$\frac{y}{y^{2} - 49} \frac{y}{y^{2} + 6 y - 7}$
39194	Solve for x	11x+4=37	$11 x + 4 = 37$
39195	Find the LCD	(y^2)/(y^2+6y+9)5/(y^2+1y-6)	$\frac{y^{2}}{y^{2} + 6 y + 9} \frac{5}{y^{2} + 1 y - 6}$
39196	Find the LCD	(y^2)/(15(x^2-6x+9))	$\frac{y^{2}}{15 (x^{2} - 6 x + 9)}$
39197	Solve for x	x^2-4<0	$x^{2} - 4 < 0$
39198	Find the LCD	(x^2)/(4x)+(9x-2)/(8x^2)	$\frac{x^{2}}{4 x} + \frac{9 x - 2}{8 x^{2}}$
39199	Find the LCD	(p+3)/(p^2+7p+10)(p+5)/(p^2+5p+6)	$\frac{p + 3}{p^{2} + 7 p + 10} \frac{p + 5}{p^{2} + 5 p + 6}$
39200	Write in Standard Form	f(x)=4x+x^3	$f (x) = 4 x + x^{3}$