Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
207901	Simplify	(5^(1/3)*7^(1/4))^3	${(5^{\frac{1}{3}} \cdot 7^{\frac{1}{4}})}^{3}$
207902	Solve for x	6e^(6x)-17e^(3x)+7=0	$6 e^{6 x} - 17 e^{3 x} + 7 = 0$
207903	Simplify the Radical Expression	cube root of (x^5)/(x^2)	$\sqrt[3]{\frac{x^{5}}{x^{2}}}$
207904	Find the End Behavior	f(x)=-216x^4+8x^6+216x^2+9720-7776x+1152x^3-32x^5	$f (x) = - 216 x^{4} + 8 x^{6} + 216 x^{2} + 9720 - 7776 x + 1152 x^{3} - 32 x^{5}$
207905	Solve for m	m^2=5m	$m^{2} = 5 m$
207906	Simplify	cube root of a/(b^2)	$\sqrt[3]{\frac{a}{b^{2}}}$
207907	Find the Roots (Zeros)	g(t)=2tan(4pit)	$g (t) = 2 \tan (4 π t)$
207908	Find the Degree, Leading Term, and Leading Coefficient	g(x)=x^4-1/3x^2+10-4x^3+2x	$g (x) = x^{4} - \frac{1}{3} x^{2} + 10 - 4 x^{3} + 2 x$
207909	Simplify	(y^3-4y)/(16y^2)*(-8y)/(3y^3-12y)	$\frac{y^{3} - 4 y}{16 y^{2}} \cdot \frac{- 8 y}{3 y^{3} - 12 y}$
207910	Simplify	square root of (3x^2)/(7x^3)	$\sqrt{\frac{3 x^{2}}{7 x^{3}}}$
207911	Factor	-4x(x+3)+3x^2(x+3)	$- 4 x (x + 3) + 3 x^{2} (x + 3)$
207912	Graph	F(x)=x^3+x+3	$F (x) = x^{3} + x + 3$
207913	Simplify	fourth root of 16x^6* square root of 49x^3	$\sqrt[4]{16 x^{6}} \cdot \sqrt{49 x^{3}}$
207914	Simplify	(c/(c^2))^4*(-3c)^4	${(\frac{c}{c^{2}})}^{4} \cdot {(- 3 c)}^{4}$
207915	Simplify	(27y)/(y^2-1)*(y^2+y)/(36y^2)	$\frac{27 y}{y^{2} - 1} \cdot \frac{y^{2} + y}{36 y^{2}}$
207916	Simplify	(4x^-2)/(y^-8)	$\frac{4 x^{- 2}}{y^{- 8}}$
207917	Simplify	((3^-6)/(3^0))^-3	${(\frac{3^{- 6}}{3^{0}})}^{- 3}$
207918	Graph	P(x)=x^3+2x^2-5x-6	$P (x) = x^{3} + 2 x^{2} - 5 x - 6$
207919	Simplify	fifth root of 5^3* fifth root of 5	$\sqrt[5]{5^{3}} \cdot \sqrt[5]{5}$
207920	Solve for x	( square root of 2x)/4+3=5	$\frac{\sqrt{2 x}}{4} + 3 = 5$
207921	Find the Exact Value	sec(0 degrees )+tan(45 degrees )	$\sec (0 °) + \tan (45 °)$
207922	Simplify	(-9x-4/5)+(2x+2/3)	$(- 9 x - \frac{4}{5}) + (2 x + \frac{2}{3})$
207923	Simplify	3 square root of 5y* square root of 6y* square root of 12y	$3 \sqrt{5 y} \cdot \sqrt{6 y} \cdot \sqrt{12 y}$
207924	Simplify	5/( square root of 8- square root of 3)	$\frac{5}{\sqrt{8} - \sqrt{3}}$
207925	Expand the Logarithmic Expression	natural log of square root of (4x)/(x-4)	$\ln (\sqrt{\frac{4 x}{x - 4}})$
207926	Subtract	(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)	$(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x) - (10 x + 9 x^{2})$
207927	Evaluate	(x^9yz^4)^5	${(x^{9} y z^{4})}^{5}$
207928	Evaluate the Function	g(3y)=x^3	$g (3 y) = x^{3}$
207929	Rationalize the Denominator	3/( square root of 7-2)	$\frac{3}{\sqrt{7 - 2}}$
207930	Solve for m	m+1/4<-1 2/5	$m + \frac{1}{4} < - 1 \frac{2}{5}$
207931	Simplify	(1/y+2/(x-y))*(x-(x^2+y^2)/(x+y))	$(\frac{1}{y} + \frac{2}{x - y}) \cdot (x - \frac{x^{2} + y^{2}}{x + y})$
207932	Divide Using Long Polynomial Division	(x^3+x^2-2x+14)/(x+3)	$\frac{x^{3} + x^{2} - 2 x + 14}{x + 3}$
207933	Solve for s	3\|s\|=18	$3 \| s \| = 18$
207934	Determine if True	tan(x)^2sin(x)^2=tan(x)^2-sin(x)^2	$\tan^{2} (x) \sin^{2} (x) = \tan^{2} (x) - \sin^{2} (x)$
207935	Solve for x	6=36^x	$6 = 36^{x}$
207936	Divide	Divide x^2-x-6 by x-3	Divide $x^{2} - x - 6$ by $x - 3$
207937	Simplify	(5x^3)/6*1/(4x^3)	$\frac{5 x^{3}}{6} \cdot \frac{1}{4 x^{3}}$
207938	Solve for x	square root of 4x+1 = square root of 5x+4	$\sqrt{4 x} + 1 = \sqrt{5 x + 4}$
207939	Factor	3/4(24x+28)-(4x-1)	$\frac{3}{4} (24 x + 28) - (4 x - 1)$
207940	Write the Fraction in Simplest Form	(3(y^-4)^4)/(12y^-6)	$\frac{3 {(y^{- 4})}^{4}}{12 y^{- 6}}$
207941	Simplify	1/7y^5+2y+3/7y^5+2y	$\frac{1}{7} y^{5} + 2 y + \frac{3}{7} y^{5} + 2 y$
207942	Find the Quadratic Equation Given the Roots	4 , - square root of 5	$4$ , $- \sqrt{5}$
207943	Simplify	square root of 64x^9* fourth root of 256x^10	$\sqrt{64 x^{9}} \cdot \sqrt[4]{256 x^{10}}$
207944	Solve for x	3^2=3^x	$3^{2} = 3^{x}$
207945	Solve the System of Equations	y = square root of x-5 y=-x+1	$y = \sqrt{x} - 5$ $y = - x + 1$
207946	Find the Roots (Zeros)	(x-2)(x-3)^2=0	$(x - 2) {(x - 3)}^{2} = 0$
207947	Find f(g(x))	f(x)=-3x g(x)=-x+8	$f (x) = - 3 x$ $g (x) = - x + 8$
207948	Find the Domain and Range	y=arctan(3x)	$y = \arctan (3 x)$
207949	Multiply	13i*(1-5i)	$13 i \cdot (1 - 5 i)$
207950	Evaluate	(a^(6n))/(a^(3n))	$\frac{a^{6 n}}{a^{3 n}}$
207951	Graph	F(x)=1/3\|x\|+1	$F (x) = \frac{1}{3} \| x \| + 1$
207952	Evaluate	square root of 54/6+2/3	$\sqrt{\frac{54}{6}} + \frac{2}{3}$
207953	Expand the Logarithmic Expression	log of (z^4)/( cube root of y^4x^3)	$\log (\frac{z^{4}}{\sqrt[3]{y^{4} x^{3}}})$
207954	Graph	y+1/4x=1	$y + \frac{1}{4} x = 1$
207955	Simplify	1/((-2z)^-2)	$\frac{1}{{(- 2 z)}^{- 2}}$
207956	Solve for x	square root of 2x = square root of x+5	$\sqrt{2 x} = \sqrt{x + 5}$
207957	Simplify	(((12m^6n^4)/(mn))((m^2n)/(18m^5n^2)))^2	${((\frac{12 m^{6} n^{4}}{m n}) (\frac{m^{2} n}{18 m^{5} n^{2}}))}^{2}$
207958	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4-7x^2-9x-6	$f (x) = x^{4} - 7 x^{2} - 9 x - 6$
207959	Graph	y<3x-4 y>=-1/2x+3	$y < 3 x - 4$ $y \geq - \frac{1}{2} x + 3$
207960	Write the Fraction in Simplest Form	(20x^-3c)/((4x^4)^-5)	$\frac{20 x^{- 3} c}{{(4 x^{4})}^{- 5}}$
207961	Solve for t	3(8+t)=25.50	$3 (8 + t) = 25.5$
207962	Simplify	2a^2bc(4c^0)^3	$2 a^{2} b c {(4 c^{0})}^{3}$
207963	Solve for x	(sin(x)-1)(sin(x)-5)=0 ?	$(\sin (x) - 1) (\sin (x) - 5) = 0$ ?
207964	Solve the System of Equations	x-6y-z=6 x+2y+z=2 -10x+2y-z=4	$x - 6 y - z = 6$ $x + 2 y + z = 2$ $- 10 x + 2 y - z = 4$
207965	Graph	P(x)=x(2x+5)(x+1)	$P (x) = x (2 x + 5) (x + 1)$
207966	Evaluate	(12x^6y^-4z^2)/(3x^2y^-6z^3)	$\frac{12 x^{6} y^{- 4} z^{2}}{3 x^{2} y^{- 6} z^{3}}$
207967	Subtract	1 1/3-2/3	$1 \frac{1}{3} - \frac{2}{3}$
207968	Solve for y	square root of y^2-20y+100=y-10	$\sqrt{y^{2} - 20 y + 100} = y - 10$
207969	Determine if a Polynomial	-6q^2-10p^3q	$- 6 q^{2} - 10 p^{3} q$
207970	Simplify the Radical Expression	square root of cube root of 81	$\sqrt{\sqrt[3]{81}}$
207971	Convert to a Decimal	115deg	$115$ degrees
207972	Describe the Transformation	-f(2(x-2))+1	$- f (2 (x - 2)) + 1$
207973	Find the Degree	-2x^5-3x^4-x^3-6x^2+6x+4	$- 2 x^{5} - 3 x^{4} - x^{3} - 6 x^{2} + 6 x + 4$
207974	Simplify	(2x^2+1)/2+(3x^2-5)/3	$\frac{2 x^{2} + 1}{2} + \frac{3 x^{2} - 5}{3}$
207975	Simplify	y fourth root of 32x^6+ fourth root of 162x^2y^4	$y \sqrt[4]{32 x^{6}} + \sqrt[4]{162 x^{2} y^{4}}$
207976	Evaluate the Function	f(x)=2/x at x=1	$f (x) = \frac{2}{x}$ at $x = 1$
207977	Simplify	6x-9-5x+4-x+5x+5	$6 x - 9 - 5 x + 4 - x + 5 x + 5$
207978	Simplify	fourth root of 256x^2* square root of 16x^5	$\sqrt[4]{256 x^{2}} \cdot \sqrt{16 x^{5}}$
207979	Multiply	(v-3)(v^2+8v)	$(v - 3) (v^{2} + 8 v)$
207980	Solve the Inequality for x	x/10+1/4>=1/5	$\frac{x}{10} + \frac{1}{4} \geq \frac{1}{5}$
207981	Solve Using the Quadratic Formula	3(x+4)^2=10x+32	$3 {(x + 4)}^{2} = 10 x + 32$
207982	Solve for m	square root of m-7+18=12	$\sqrt{m - 7} + 18 = 12$
207983	Multiply	2x^4yx*6xy^2z^3	$2 x^{4} y x \cdot 6 x y^{2} z^{3}$
207984	Write in Standard Form	f(x)=5+2x^2-3x^4-2x-x^3	$f (x) = 5 + 2 x^{2} - 3 x^{4} - 2 x - x^{3}$
207985	Find the Parabola with Focus (0,7) and Directrix y=3	focus (0,7) directrix y=3	focus $(0, 7)$ directrix $y = 3$
207986	Solve for x	4(2(x+3)+7)-5x=61	$4 (2 (x + 3) + 7) - 5 x = 61$
207987	Solve for u	u^2=18u	$u^{2} = 18 u$
207988	Simplify	i/(-9+8i)	$\frac{i}{- 9 + 8 i}$
207989	Find the Perpendicular Line	y-3=8/3(x+2) , (-2,3)	$y - 3 = \frac{8}{3} (x + 2)$ , $(- 2, 3)$
207990	Convert to Radical Form	1/((x-1)^(-5/2))	$\frac{1}{{(x - 1)}^{- \frac{5}{2}}}$
207991	Simplify	( square root of 20x^7)/( square root of x)	$\frac{\sqrt{20 x^{7}}}{\sqrt{x}}$
207992	Graph	f(x)=cos(x) g(x)=cos(x+pi/2)	$f (x) = \cos (x)$ $g (x) = \cos (x + \frac{π}{2})$
207993	Evaluate	17+8/(13+19)	$17 + \frac{8}{13 + 19}$
207994	Convert to Radical Form	1/((x^2-3)^(-5/4))	$\frac{1}{{(x^{2} - 3)}^{- \frac{5}{4}}}$
207995	Find the First Term	a_n=((n+2)!)/(n+2)	$a_{n} = \frac{(n + 2)!}{n + 2}$
207996	Evaluate	-1 2/5-(-4/5)	$- 1 \frac{2}{5} - (- \frac{4}{5})$
207997	Write in Slope-Intercept Form	2x+y>5	$2 x + y > 5$
207998	Simplify	(3x)/5*20/9	$\frac{3 x}{5} \cdot \frac{20}{9}$
207999	Evaluate	2pi*180/pi	$2 π \cdot \frac{180}{π}$
208000	Simplify	(-1+6i)+(5-2i)-(8i)	$(- 1 + 6 i) + (5 - 2 i) - (8 i)$