Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206001	Simplify	(x*x^(2/5))/(x^-3)	$\frac{x \cdot x^{\frac{2}{5}}}{x^{- 3}}$
206002	Simplify	(9x^4-3x^3+4x^2+5x+7)+(11x^4-4x^2-11x-9)	$(9 x^{4} - 3 x^{3} + 4 x^{2} + 5 x + 7) + (11 x^{4} - 4 x^{2} - 11 x - 9)$
206003	Simplify	square root of -180x^16	$\sqrt{- 180 x^{16}}$
206004	Simplify	(p^5r^2)^4(-7p^3r^4)^2(6pr^3)	${(p^{5} r^{2})}^{4} {(- 7 p^{3} r^{4})}^{2} (6 p r^{3})$
206005	Simplify	(x^12)(y^-13)(x^-5)(y^4)	$(x^{12}) (y^{- 13}) (x^{- 5}) (y^{4})$
206006	Simplify the Radical Expression	3 2/3	$3 \frac{2}{3}$
206007	Simplify	9/(2^-1)	$\frac{9}{2^{- 1}}$
206008	Solve for r	r = square root of -1-2r	$r = \sqrt{- 1 - 2 r}$
206009	Simplify	(28p^3q^2r-36p^2r^2+16q^5r^4)/(4pq^2r)	$\frac{28 p^{3} q^{2} r - 36 p^{2} r^{2} + 16 q^{5} r^{4}}{4 p q^{2} r}$
206010	Graph	2x+y=8 x=5	$2 x + y = 8$ $x = 5$
206011	Graph	y=-x-1 x-5y=-25	$y = - x - 1$ $x - 5 y = - 25$
206012	Evaluate Using the Given Value	-a^-2 if a=-5	$- a^{- 2}$ if $a = - 5$
206013	Simplify the Radical Expression	cube root of 8/1000	$\sqrt[3]{\frac{8}{1000}}$
206014	Write as a Single Logarithm	5* log of a+1/2* log of b-4* log of c	$5 \cdot \log (a) + \frac{1}{2} \cdot \log (b) - 4 \cdot \log (c)$
206015	Simplify	square root of (2x^3)/(50y^5)	$\sqrt{\frac{2 x^{3}}{50 y^{5}}}$
206016	Graph	y=2x+9 y=6-x	$y = 2 x + 9$ $y = 6 - x$
206017	Solve for B	(4a+5)^2=16a^2+Ba+25	${(4 a + 5)}^{2} = 16 a^{2} + B a + 25$
206018	Simplify	3n^(-1/2)*3n	$3 n^{- \frac{1}{2}} \cdot 3 n$
206019	Solve for x	9^(-3x-6)=3^(3x^2-21)	$9^{- 3 x - 6} = 3^{3 x^{2} - 21}$
206020	Solve for q	1/2-1/8q=(q-1)/4	$\frac{1}{2} - \frac{1}{8} q = \frac{q - 1}{4}$
206021	Solve the Inequality for t	t/-2<6	$\frac{t}{- 2} < 6$
206022	Solve the System of Equations	y=-3/2x-8 3x-4y=-4	$y = - \frac{3}{2} x - 8$ $3 x - 4 y = - 4$
206023	Write in Exponential Form	( cube root of 5)^3	${(\sqrt[3]{5})}^{3}$
206024	Simplify	((4x)/7)÷(2/21)	$\frac{4 x}{7} \div \frac{2}{21}$
206025	Simplify the Radical Expression	-2y square root of 28x^3+3x square root of 63xy^2-3 square root of 112x^3y^2	$- 2 y \sqrt{28 x^{3}} + 3 x \sqrt{63 x y^{2}} - 3 \sqrt{112 x^{3} y^{2}}$
206026	Factor	q(x)=9x^2-24x+16	$q (x) = 9 x^{2} - 24 x + 16$
206027	Simplify	((-x)/(-y^2))^4	${(\frac{- x}{- y^{2}})}^{4}$
206028	Evaluate	x^4y^-2	$x^{4} y^{- 2}$
206029	Solve the Inequality for b	b/16>=-6	$\frac{b}{16} \geq - 6$
206030	Divide	(1+a^3)÷(1+a)	$(1 + a^{3}) \div (1 + a)$
206031	Evaluate	(tan(theta))/(sec(theta))	$\frac{\tan (θ)}{\sec (θ)}$
206032	Solve by Factoring	5x^5-80x=0	$5 x^{5} - 80 x = 0$
206033	Graph	-5+1/4x=3x+6	$- 5 + \frac{1}{4} x = 3 x + 6$
206034	Simplify	1/(1+x)+(1-x)/x	$\frac{1}{1 + x} + \frac{1 - x}{x}$
206035	Solve the System of Inequalities	y>=2x-3 y>4x+5	$y \geq 2 x - 3$ $y > 4 x + 5$
206036	Simplify	(4x^3)/3*(9/x)^3	$\frac{4 x^{3}}{3} \cdot {(\frac{9}{x})}^{3}$
206037	Simplify	(24m^-2n)(1/4mn)	$(24 m^{- 2} n) (\frac{1}{4} m n)$
206038	Find the x and y Intercepts	F(x)=1/(x^2)	$F (x) = \frac{1}{x^{2}}$
206039	Simplify	(3x)/8+(5x-16)/8	$\frac{3 x}{8} + \frac{5 x - 16}{8}$
206040	Simplify	(-6w^3z^4-3w^2z^5+4w+5z)÷(2w^2z)	$(- 6 w^{3} z^{4} - 3 w^{2} z^{5} + 4 w + 5 z) \div (2 w^{2} z)$
206041	Simplify	(128c^15d^11e^5)^(1/3)	${(128 c^{15} d^{11} e^{5})}^{\frac{1}{3}}$
206042	Find the Inverse	y=e^(x/2)	$y = e^{\frac{x}{2}}$
206043	Simplify	((12x^3y^-4)/(4x^-2y^-4))^-2	${(\frac{12 x^{3} y^{- 4}}{4 x^{- 2} y^{- 4}})}^{- 2}$
206044	Simplify	2^(1/2)*2^3	$2^{\frac{1}{2}} \cdot 2^{3}$
206045	Solve for n	1/3(2n-1/4)=7/12	$\frac{1}{3} (2 n - \frac{1}{4}) = \frac{7}{12}$
206046	Simplify	a(b-c)	$a (b - c)$
206047	Evaluate	83-(14-34)*2	$83 - (14 - 34) \cdot 2$
206048	Simplify	2 square root of st^2+3 square root of s^2+5 square root of s^3t^4	$2 \sqrt{s t^{2}} + 3 \sqrt{s^{2}} + 5 \sqrt{s^{3} t^{4}}$
206049	Graph	y>=-5 y-1<3x	$y \geq - 5$ $y - 1 < 3 x$
206050	Solve the System of Equations	9x^2+4(y-2)^2=36 x^2=2y	$9 x^{2} + 4 {(y - 2)}^{2} = 36$ $x^{2} = 2 y$
206051	Write the Fraction in Simplest Form	((2v^4)^3)/(10v^5)	$\frac{{(2 v^{4})}^{3}}{10 v^{5}}$
206052	Simplify	square root of 36x^5* fourth root of 256x^10	$\sqrt{36 x^{5}} \cdot \sqrt[4]{256 x^{10}}$
206053	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^2+4x^3+9+x^6-5x^5	$f (x) = - 2 x^{2} + 4 x^{3} + 9 + x^{6} - 5 x^{5}$
206054	Simplify	35x+7z-4z-15x-3z	$35 x + 7 z - 4 z - 15 x - 3 z$
206055	Solve for x	35x-56=g(-5x+8)	$35 x - 56 = g (- 5 x + 8)$
206056	Find the LCM	2 , 3 , 8	$2$ , $3$ , $8$
206057	Find the Exact Value	cos(0 degrees )+cot(45 degrees )	$\cos (0 °) + \cot (45 °)$
206058	Write in Standard Form	(6x^2-9x^3+3)/3	$\frac{6 x^{2} - 9 x^{3} + 3}{3}$
206059	Solve for x	1/4 fourth root of 2x+6=10	$\frac{1}{4} \sqrt[4]{2 x} + 6 = 10$
206060	Factor	U(t)=2t^4+3t^3+27t^2+48t-80	$U (t) = 2 t^{4} + 3 t^{3} + 27 t^{2} + 48 t - 80$
206061	Simplify	square root of (7x)^3	$\sqrt{{(7 x)}^{3}}$
206062	Solve for z	z = square root of 7z-10	$z = \sqrt{7 z - 10}$
206063	Simplify	((3x^2y)^0)/(2xy)*(8x^3y)/(3y^2)	$\frac{{(3 x^{2} y)}^{0}}{2 x y} \cdot \frac{8 x^{3} y}{3 y^{2}}$
206064	Find the Domain and Range	f(x)=( square root of x^2-2x+1)/(x-1)	$f (x) = \frac{\sqrt{x^{2} - 2 x + 1}}{x - 1}$
206065	Simplify	(x^2-4y^2)÷((5x-10y)/x)	$(x^{2} - 4 y^{2}) \div \frac{5 x - 10 y}{x}$
206066	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-6) and has a slope of 2/3 ?	What is the equation of the line that passes through the point $(- 6, - 6)$ and has a slope of $\frac{2}{3}$ ?
206067	Simplify	square root of 13-(13-2x)	$\sqrt{13 - (13 - 2 x)}$
206068	Write the Fraction in Simplest Form	(4p^-8)/(-4(p^-2)^4)	$\frac{4 p^{- 8}}{- 4 {(p^{- 2})}^{4}}$
206069	Solve for x	(4x+8)/15-(2x-8)/9=(27x+18)/27-x	$\frac{4 x + 8}{15} - \frac{2 x - 8}{9} = \frac{27 x + 18}{27} - x$
206070	Solve for r	-4/(r+9)=7/-2	$\frac{- 4}{r + 9} = \frac{7}{- 2}$
206071	Simplify	( square root of 8- square root of 6)/( square root of 12-2)	$\frac{\sqrt{8} - \sqrt{6}}{\sqrt{12} - 2}$
206072	Solve for n	square root of n/6 = square root of 63-n	$\sqrt{\frac{n}{6}} = \sqrt{63 - n}$
206073	Simplify the Radical Expression	( fifth root of 64)/( fifth root of 4)	$\frac{\sqrt[5]{64}}{\sqrt[5]{4}}$
206074	Find the Holes in the Graph	y=x/(x(x-1))	$y = \frac{x}{x (x - 1)}$
206075	Solve for A	y=Ax+b	$y = A x + b$
206076	Write the Fraction in Simplest Form	(5(a)^3)/(15a)	$\frac{5 {(a)}^{3}}{15 a}$
206077	Simplify	1÷(( square root of 3)/2)	$1 \div \frac{\sqrt{3}}{2}$
206078	Write in Standard Form	2x^2+2y^2-8=0	$2 x^{2} + 2 y^{2} - 8 = 0$
206079	Simplify	6 square root of x+ square root of x-3 square root of y- square root of y	$6 \sqrt{x} + \sqrt{x} - 3 \sqrt{y} - \sqrt{y}$
206080	Divide	( square root of 15)/(5 square root of 20)	$\frac{\sqrt{15}}{5 \sqrt{20}}$
206081	Simplify	(3x-21)/(x^2-3x-28)*(5x+20)/(2x+8)	$\frac{3 x - 21}{x^{2} - 3 x - 28} \cdot \frac{5 x + 20}{2 x + 8}$
206082	Graph	x^2+y<=-3	$x^{2} + y \leq - 3$
206083	Rationalize the Denominator	4/( cube root of 8x^2)	$\frac{4}{\sqrt[3]{8 x^{2}}}$
206084	Solve for d	(2^d)^4=2^12	${(2^{d})}^{4} = 2^{12}$
206085	Solve for y	-2y+5-7y=-7y-4+y	$- 2 y + 5 - 7 y = - 7 y - 4 + y$
206086	Find the Exact Value	((2+(-5+4)-(-8))-2)	$((2 + (- 5 + 4) - (- 8)) - 2)$
206087	Find the x and y Intercepts	(-5x^2+20)/(3x^2-6x)	$\frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$
206088	Convert to a Decimal	-330deg	$- 330$ degrees
206089	Simplify	-(8x^18)/(4x^6)	$- \frac{8 x^{18}}{4 x^{6}}$
206090	Graph	y=2+3cos(pi/3(x-1))	$y = 2 + 3 \cos (\frac{π}{3} (x - 1))$
206091	Convert to Radical Form	(2x^2-7)^(1/2)	${(2 x^{2} - 7)}^{\frac{1}{2}}$
206092	Simplify	((x^2)/4)/((x^2)/4-4/x)	$\frac{\frac{x^{2}}{4}}{\frac{x^{2}}{4} - \frac{4}{x}}$
206093	Evaluate	9^(8x)=27	$9^{8 x} = 27$
206094	Simplify	( square root of 18x^4)/( square root of x^4)	$\frac{\sqrt{18 x^{4}}}{\sqrt{x^{4}}}$
206095	Write in Standard Form	(3x^2-x-5)(3x^2-3x+4)	$(3 x^{2} - x - 5) (3 x^{2} - 3 x + 4)$
206096	Simplify	3 fourth root of 32-2 fourth root of 162	$3 \sqrt[4]{32} - 2 \sqrt[4]{162}$
206097	Factor	8x^7-4x^5-18x^3+9x	$8 x^{7} - 4 x^{5} - 18 x^{3} + 9 x$
206098	Graph	-((12n)/(4n^5))^3	$- {(\frac{12 n}{4 n^{5}})}^{3}$
206099	Simplify	square root of 5x square root of 15	$\sqrt{5 x} \sqrt{15}$
206100	Evaluate	4v^3*vu^2	$4 v^{3} \cdot v u^{2}$