Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
71001	Convert to Radical Form	(6x+5)^(2/3)	${(6 x + 5)}^{\frac{2}{3}}$
71002	Convert to Radical Form	((x^3)^(1/2))/(x^(7/2))	$\frac{{(x^{3})}^{\frac{1}{2}}}{x^{\frac{7}{2}}}$
71003	Write as a Set of Linear Factors	h(x)=x^3-3x^2-2x+2	$h (x) = x^{3} - 3 x^{2} - 2 x + 2$
71004	Factor	-2bk^2+6bk-2b	$- 2 b k^{2} + 6 b k - 2 b$
71005	Write as a Set of Linear Factors	h(x)=x^3-4x^2+3x+2	$h (x) = x^{3} - 4 x^{2} + 3 x + 2$
71006	Find the Sum of the Infinite Geometric Series	4 , 24 , 144 , 864	$4$ , $24$ , $144$ , $864$
71007	Find the Roots/Zeros Using the Rational Roots Test	7x^3-5x^2-63x+45	$7 x^{3} - 5 x^{2} - 63 x + 45$
71008	Find the Sum of the Infinite Geometric Series	1/2 , -1/4 , 1/8 , -1/16	$\frac{1}{2}$ , $- \frac{1}{4}$ , $\frac{1}{8}$ , $- \frac{1}{16}$
71009	Subtract	5/2-3/5	$\frac{5}{2} - \frac{3}{5}$
71010	Find the Sum of the Infinite Geometric Series	1 , square root of 2 , 2 , 2 square root of 2	$1$ , $\sqrt{2}$ , $2$ , $2 \sqrt{2}$
71011	Convert to Radical Form	(49/25)^(3/2)	${(\frac{49}{25})}^{\frac{3}{2}}$
71012	Convert to Radical Form	(a^2b^2)^(1/5)	${(a^{2} b^{2})}^{\frac{1}{5}}$
71013	Find the Exponential Function	(5,15)	$(5, 15)$
71014	Convert to Radical Form	2d^(7/10)	$2 d^{\frac{7}{10}}$
71015	Find the Exponential Function	(4,15)	$(4, 15)$
71016	Convert to Radical Form	y^(4/7)	$y^{\frac{4}{7}}$
71017	Find the Exponential Function	(-5,12)	$(- 5, 12)$
71018	Convert to Radical Form	z^(-2/3)	$z^{- \frac{2}{3}}$
71019	Find the Exponential Function	(7,3)	$(7, 3)$
71020	Convert to Radical Form	4d^(3/8)	$4 d^{\frac{3}{8}}$
71021	Find the Exponential Function	(-1,1/7)	$(- 1, \frac{1}{7})$
71022	Convert to Radical Form	3m^(1/5)	$3 m^{\frac{1}{5}}$
71023	Find the Exponential Function	(-1,1/8)	$(- 1, \frac{1}{8})$
71024	Convert to Radical Form	8m^(1/2)	$8 m^{\frac{1}{2}}$
71025	Find the Exponential Function	(-1,-3/7)	$(- 1, - \frac{3}{7})$
71026	Graph	y=x^2+6x-17	$y = x^{2} + 6 x - 17$
71027	Graph	y<=3x+4	$y \leq 3 x + 4$
71028	Convert to Radical Form	v^(2/3)	$v^{\frac{2}{3}}$
71029	Evaluate Using Synthetic Division	k=-1 ; f(x)=x^2-4x+3	$k = - 1$ ; $f (x) = x^{2} - 4 x + 3$
71030	Convert to Radical Form	x^(-1/3)	$x^{- \frac{1}{3}}$
71031	Evaluate Using Synthetic Division	P(x)=2x^3+4x^2-10x-9 ; a=3	$P (x) = 2 x^{3} + 4 x^{2} - 10 x - 9$ ; $a = 3$
71032	Convert to Radical Form	x^(-3/5)	$x^{- \frac{3}{5}}$
71033	Convert to Radical Form	729^(-1/3)	$729^{- \frac{1}{3}}$
71034	Convert to Radical Form	8^(-4/3)	$8^{- \frac{4}{3}}$
71035	Convert to Radical Form	81^(3/2)	$81^{\frac{3}{2}}$
71036	Evaluate Using Synthetic Division	f(x)=x^2-9x+3 ; k=4+i	$f (x) = x^{2} - 9 x + 3$ ; $k = 4 + i$
71037	Evaluate Using Synthetic Division	f(x)=x^3+6x^2+9x+20 , k=-5	$f (x) = x^{3} + 6 x^{2} + 9 x + 20$ , $k = - 5$
71038	Convert to Radical Form	a^(1/n)	$a^{\frac{1}{n}}$
71039	Evaluate Using Synthetic Division	f(x)=x^3+7x^2+2x-40 ; k=-5	$f (x) = x^{3} + 7 x^{2} + 2 x - 40$ ; $k = - 5$
71040	Convert to Radical Form	243^(-4/5)	$243^{- \frac{4}{5}}$
71041	Convert to Radical Form	4^(2/3)	$4^{\frac{2}{3}}$
71042	Convert to Radical Form	49^(5/2)	$49^{\frac{5}{2}}$
71043	Convert to Radical Form	10^(3/7)	$10^{\frac{3}{7}}$
71044	Find the Maximum Number of Real Roots	y=(x-12)^3-10	$y = {(x - 12)}^{3} - 10$
71045	Convert to Interval Notation	\|7-2x\|>9	$\| 7 - 2 x \| > 9$
71046	Determine if the Given Expression is a Factor	x^3-3x^2-2x+6 , x-3	$x^{3} - 3 x^{2} - 2 x + 6$ , $x - 3$
71047	Determine if the Given Expression is a Factor	x+4 , x^3+7x^2+2x-40	$x + 4$ , $x^{3} + 7 x^{2} + 2 x - 40$
71048	Graph Using a Table of Values	y+2=4/5(x+9)	$y + 2 = \frac{4}{5} (x + 9)$
71049	Graph Using a Table of Values	-x-2y=8	$- x - 2 y = 8$
71050	Convert to Interval Notation	\|x\|>11	$\| x \| > 11$
71051	Convert to Interval Notation	\|x-12\|>24	$\| x - 12 \| > 24$
71052	Convert to Interval Notation	(x-1)(x+4)<0	$(x - 1) (x + 4) < 0$
71053	Convert to Interval Notation	(x^2-16)/(x^2-25)<0	$\frac{x^{2} - 16}{x^{2} - 25} < 0$
71054	Simplify	square root of 6* square root of 3	$\sqrt{6} \cdot \sqrt{3}$
71055	Simplify	square root of 75- square root of 27	$\sqrt{75} - \sqrt{27}$
71056	Simplify	-2 square root of 45-3 square root of 20-2 square root of 6	$- 2 \sqrt{45} - 3 \sqrt{20} - 2 \sqrt{6}$
71057	Simplify	4 square root of 3+4 cube root of 3	$4 \sqrt{3} + 4 \sqrt[3]{3}$
71058	Graph Using a Table of Values	y=2x-12	$y = 2 x - 12$
71059	Graph Using a Table of Values	y=2.5x	$y = 2.5 x$
71060	Graph Using a Table of Values	y=1.5x	$y = 1.5 x$
71061	Graph Using a Table of Values	2x-4y=7	$2 x - 4 y = 7$
71062	Write with Rational (Fractional) Exponents	cube root of 4n	$\sqrt[3]{4 n}$
71063	Graph Using a Table of Values	2y=3x-4	$2 y = 3 x - 4$
71064	Graph Using a Table of Values	2y-4x=0	$2 y - 4 x = 0$
71065	Graph	f(x)=(2x+6)/(x+4)	$f (x) = \frac{2 x + 6}{x + 4}$
71066	Graph	f(x)=1/2x^2+2x-6	$f (x) = \frac{1}{2} x^{2} + 2 x - 6$
71067	Convert to Interval Notation	-5x<20	$- 5 x < 20$
71068	Convert to Interval Notation	-4x<16	$- 4 x < 16$
71069	Graph Using a Table of Values	6y=2x-5	$6 y = 2 x - 5$
71070	Convert to Interval Notation	(x-5)/(x-8)>3	$\frac{x - 5}{x - 8} > 3$
71071	Graph Using a Table of Values	-4y=-5x-18	$- 4 y = - 5 x - 18$
71072	Graph Using a Table of Values	-5x-3y=22	$- 5 x - 3 y = 22$
71073	Simplify	7b^2-b+3b+6-3b^2+5+2b^2+7b	$7 b^{2} - b + 3 b + 6 - 3 b^{2} + 5 + 2 b^{2} + 7 b$
71074	Graph Using a Table of Values	y=9x-1	$y = 9 x - 1$
71075	Graph Using a Table of Values	y=6x+10	$y = 6 x + 10$
71076	Simplify	-mnp(3m-5n+7p)	$- m n p (3 m - 5 n + 7 p)$
71077	Graph Using a Table of Values	y=f(x-3)	$y = f (x - 3)$
71078	Graph Using a Table of Values	y=f(x+4)	$y = f (x + 4)$
71079	Convert to Interval Notation	x/(x+3)>0	$\frac{x}{x + 3} > 0$
71080	Convert to Interval Notation	x/(x-3)>0	$\frac{x}{x - 3} > 0$
71081	Convert to Interval Notation	x^3+3x^2-9x-27>0	$x^{3} + 3 x^{2} - 9 x - 27 > 0$
71082	Graph Using a Table of Values	y-4=-2(x-6)	$y - 4 = - 2 (x - 6)$
71083	Find the Eccentricity	((y+5)^2)/169+((x-3)^2)/49=1	$\frac{{(y + 5)}^{2}}{169} + \frac{{(x - 3)}^{2}}{49} = 1$
71084	Find the Eccentricity	(x^2)/169+(y^2)/144=1	$\frac{x^{2}}{169} + \frac{y^{2}}{144} = 1$
71085	Convert to Interval Notation	x^3-9x^2+20x-12<0	$x^{3} - 9 x^{2} + 20 x - 12 < 0$
71086	Find the Eccentricity	16x^2+9y^2+96x-72y+144=0	$16 x^{2} + 9 y^{2} + 96 x - 72 y + 144 = 0$
71087	Find the Eccentricity	21x^2+25y^2=525	$21 x^{2} + 25 y^{2} = 525$
71088	Convert to Interval Notation	x^2-4x-5<0	$x^{2} - 4 x - 5 < 0$
71089	Find the Eccentricity	24x^2+25y^2=600	$24 x^{2} + 25 y^{2} = 600$
71090	Convert to Interval Notation	x^2-22x+121<0	$x^{2} - 22 x + 121 < 0$
71091	Find the Eccentricity	25x^2-36y^2=900	$25 x^{2} - 36 y^{2} = 900$
71092	Find the Eccentricity	((x+7)^2)/16+((y-3)^2)/4=1	$\frac{{(x + 7)}^{2}}{16} + \frac{{(y - 3)}^{2}}{4} = 1$
71093	Write in Standard Form	f(x)=-2(x-3)^2+2	$f (x) = - 2 {(x - 3)}^{2} + 2$
71094	Convert to Interval Notation	x^3+12x>-8x^2	$x^{3} + 12 x > - 8 x^{2}$
71095	Write in Standard Form	f(x)=(x-6)^2(x+2)^2	$f (x) = {(x - 6)}^{2} {(x + 2)}^{2}$
71096	Write in Standard Form	f(x)=-2/9(x+3)^2+2	$f (x) = - \frac{2}{9} {(x + 3)}^{2} + 2$
71097	Convert to Interval Notation	(3x-10)/3<19/3	$\frac{3 x - 10}{3} < \frac{19}{3}$
71098	Write in Standard Form	g(x)=2(x-1)^2(x^2+5)	$g (x) = 2 {(x - 1)}^{2} (x^{2} + 5)$
71099	Convert to Interval Notation	5/(2x-7)>1	$\frac{5}{2 x - 7} > 1$
71100	Find the Inverse	f(x)=-1/2x	$f (x) = - \frac{1}{2} x$