Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201801	Simplify the Radical Expression	( square root of x)^2	${(\sqrt{x})}^{2}$
201802	Simplify	(6- square root of 3)/(2+ square root of 7)	$\frac{6 - \sqrt{3}}{2 + \sqrt{7}}$
201803	Simplify	(10x^3yz^2)(-2xy^5z)	$(10 x^{3} y z^{2}) (- 2 x y^{5} z)$
201804	Graph	x-y<6 2x+y<6	$x - y < 6$ $2 x + y < 6$
201805	Solve for j	-4j-14=-2j	$- 4 j - 14 = - 2 j$
201806	Simplify	(4/7m)^2(49m)(17p)(1/34p^5)	${(\frac{4}{7} m)}^{2} (49 m) (17 p) (\frac{1}{34} p^{5})$
201807	Simplify	(7v^2-4v^4+2)+(7v^2+3v+5)	$(7 v^{2} - 4 v^{4} + 2) + (7 v^{2} + 3 v + 5)$
201808	Simplify	((4p^4r^4)/(3p^2r^2))^3	${(\frac{4 p^{4} r^{4}}{3 p^{2} r^{2}})}^{3}$
201809	Solve for x	8^(x-2) = square root of 8	$8^{x - 2} = \sqrt{8}$
201810	Evaluate	8 square root of 8.41+1.8	$8 \sqrt{8.41} + 1.8$
201811	Solve for a	(8^-55)/(8^a)=8^-43	$\frac{8^{- 55}}{8^{a}} = 8^{- 43}$
201812	Solve for x	((y^(2x))/(y^6))^-1=(y^-3)^4	${(\frac{y^{2 x}}{y^{6}})}^{- 1} = {(y^{- 3})}^{4}$
201813	Factor	a(p-q)+q-p	$a (p - q) + q - p$
201814	Solve for c	square root of 6c+15=c+4	$\sqrt{6 c + 15} = c + 4$
201815	Graph	y=(2x+3)(x-1)(x-4)	$y = (2 x + 3) (x - 1) (x - 4)$
201816	Simplify	( cube root of 2)^9	${(\sqrt[3]{2})}^{9}$
201817	Rationalize the Denominator	(3x)/( square root of 3)	$\frac{3 x}{\sqrt{3}}$
201818	Simplify	( cube root of x* square root of x^5)/( square root of 25x^16)	$\frac{\sqrt[3]{x} \cdot \sqrt{x^{5}}}{\sqrt{25 x^{16}}}$
201819	Solve for h	v=1/3bh for h	$v = \frac{1}{3} b h$ for $h$
201820	Simplify	sixth root of 2* square root of 2^5	$\sqrt[6]{2} \cdot \sqrt{2^{5}}$
201821	Simplify	( square root of 2- square root of 10)/( square root of 2+ square root of 10)	$\frac{\sqrt{2} - \sqrt{10}}{\sqrt{2} + \sqrt{10}}$
201822	Find the Exact Value	tan(arctan(7/6)+arctan(1/2))	$\tan (\arctan (\frac{7}{6}) + \arctan (\frac{1}{2}))$
201823	Solve for m	-7/9m=11/6	$- \frac{7}{9} m = \frac{11}{6}$
201824	Solve for d	(d^2)y=0	$(d^{2}) y = 0$
201825	Write as a Single Logarithm	(3 log of 2)/( log of 4+ log of 3)	$\frac{3 \log (2)}{\log (4) + \log (3)}$
201826	Simplify	( cube root of 5)/( cube root of 4x^2)	$\frac{\sqrt[3]{5}}{\sqrt[3]{4 x^{2}}}$
201827	Solve for x	4^(x+3)=2^(2(x+1))	$4^{x + 3} = 2^{2 (x + 1)}$
201828	Simplify	((a^2a^4)÷(a^-3))/(a÷((a^2a^3)^4))	$\frac{(a^{2} a^{4}) \div a^{- 3}}{a \div {(a^{2} a^{3})}^{4}}$
201829	Divide	(-1/3a^5b^4-1/2a^2b^4+2/5a^5b-5a^2b^3)÷(-5a^3b^2)	$(- \frac{1}{3} a^{5} b^{4} - \frac{1}{2} a^{2} b^{4} + \frac{2}{5} a^{5} b - 5 a^{2} b^{3}) \div (- 5 a^{3} b^{2})$
201830	Evaluate	5^(2- log base 5 of 5)	$5^{2 - \log_{5} (5)}$
201831	Find the Domain and Range	f(x)=1/2*e^(-x)-1	$f (x) = \frac{1}{2} \cdot e^{- x} - 1$
201832	Solve for x	tan(x)^5-9tan(x)=0	$\tan^{5} (x) - 9 \tan (x) = 0$
201833	Simplify	(w^4x^3)/(w^4x)	$\frac{w^{4} x^{3}}{w^{4} x}$
201834	Solve for x	2(5x+z)=30x+3y+10	$2 (5 x + z) = 30 x + 3 y + 10$
201835	Simplify	(7x^3-49x^2)/(7x^4)	$\frac{7 x^{3} - 49 x^{2}}{7 x^{4}}$
201836	Find the x and y Intercepts	f(x)=(3x)/4+3	$f (x) = \frac{3 x}{4} + 3$
201837	Rationalize the Denominator	2/( fourth root of 4y)	$\frac{2}{\sqrt[4]{4 y}}$
201838	Solve the System of Equations	y-5=(x-2)^2 x+2y=6	$y - 5 = {(x - 2)}^{2}$ $x + 2 y = 6$
201839	Convert to Radical Form	(8/27)^(-2/3)	${(\frac{8}{27})}^{\frac{- 2}{3}}$
201840	Find the Excluded Values	((x^2-16)/(x-2))÷((x^2+3x-4)/(x-8))	$\frac{x^{2} - 16}{x - 2} \div \frac{x^{2} + 3 x - 4}{x - 8}$
201841	Simplify	(9x^-4y^7)/(18x^6y^-2)*(3x^8)/(y^3)	$\frac{9 x^{- 4} y^{7}}{18 x^{6} y^{- 2}} \cdot \frac{3 x^{8}}{y^{3}}$
201842	Simplify	square root of (48x^3)/(3xy^2)	$\sqrt{\frac{48 x^{3}}{3 x y^{2}}}$
201843	Solve for x	x+5=4^(3/2)	$x + 5 = 4^{\frac{3}{2}}$
201844	Solve the System of Equations	y+z=4 y-z=8	$y + z = 4$ $y - z = 8$
201845	Solve for a	4a^2-b^2=0	$4 a^{2} - b^{2} = 0$
201846	Solve by Substitution	9x-3y=-21 6x=2y-4	$9 x - 3 y = - 21$ $6 x = 2 y - 4$
201847	Simplify the Radical Expression	2 square root of 18+ square root of 2	$2 \sqrt{18} + \sqrt{2}$
201848	Solve for z	(5z)/8-1/3=2/5	$\frac{5 z}{8} - \frac{1}{3} = \frac{2}{5}$
201849	Solve for x	9x^4-16=0	$9 x^{4} - 16 = 0$
201850	Find the Excluded Values	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
201851	Solve for p	10/(p+2)=4/3	$\frac{10}{p + 2} = \frac{4}{3}$
201852	Simplify the Radical Expression	( square root of 15)/(5 square root of 20)	$\frac{\sqrt{15}}{5 \sqrt{20}}$
201853	Simplify	2(48/3)^(-1/4)	$2 {(\frac{48}{3})}^{- \frac{1}{4}}$
201854	Simplify the Radical Expression	fifth root of (160m^6)/(n^7)	$\sqrt[5]{\frac{160 m^{6}}{n^{7}}}$
201855	Graph	yy<=-3x-5	$y \cdot y \leq - 3 x - 5$
201856	Convert to Meters	60.4mm	$60.4 mm$
201857	Simplify	(7x^4-5x^3+8x^2+9x-13)-(2x^4+6x^3-4x^2-x+4)	$(7 x^{4} - 5 x^{3} + 8 x^{2} + 9 x - 13) - (2 x^{4} + 6 x^{3} - 4 x^{2} - x + 4)$
201858	Simplify	x/(x-1)+1/(x^2-4)	$\frac{x}{x - 1} + \frac{1}{x^{2} - 4}$
201859	Simplify	18 square root of a^2*4 square root of a^3	$18 \sqrt{a^{2}} \cdot 4 \sqrt{a^{3}}$
201860	Solve by Graphing	x+2y=4 y=-1/2x+2	$x + 2 y = 4$ $y = - \frac{1}{2} x + 2$
201861	Solve for x	(3^8)*4=3^x	$(3^{8}) \cdot 4 = 3^{x}$
201862	Solve the Inequality for f	-7f>5	$- 7 f > 5$
201863	Solve by Substitution	x-2y=-6 4y=2x+12	$x - 2 y = - 6$ $4 y = 2 x + 12$
201864	Simplify	((16m^9n^3)/(2^6))^(1/3)	${(\frac{16 m^{9} n^{3}}{2^{6}})}^{\frac{1}{3}}$
201865	Simplify the Radical Expression	square root of 144(x+9)^10	$\sqrt{144 {(x + 9)}^{10}}$
201866	Simplify	sin(theta)cot(theta)sec(theta)	$\sin (θ) \cdot \cot (θ) \cdot \sec (θ)$
201867	Find the Roots (Zeros)	0=x^2(x+3)^4(x-1)	$0 = x^{2} {(x + 3)}^{4} (x - 1)$
201868	Simplify	((2^0*5^2)/3)^0	${(\frac{2^{0} \cdot 5^{2}}{3})}^{0}$
201869	Evaluate	(1/(125^(2/3)))	$(\frac{1}{125^{\frac{2}{3}}})$
201870	Solve the System of Equations	3(2x-y)=24 -6x+8y=-14	$3 (2 x - y) = 24$ $- 6 x + 8 y = - 14$
201871	Simplify	2/(2x)-(6x)/(4y^2)	$\frac{2}{2 x} - \frac{6 x}{4 y^{2}}$
201872	Solve for x	2 = cube root of x	$2 = \sqrt[3]{x}$
201873	Simplify	( square root of x^3)/( cube root of y^5)	$\frac{\sqrt{x^{3}}}{\sqrt[3]{y^{5}}}$
201874	Find the First Term	a_n=((n+4)!)/((n+5)!)	$a_{n} = \frac{(n + 4)!}{(n + 5)!}$
201875	Simplify	((3x^-5y^2)^0)/((4x^-3y^2)^-2)	$\frac{{(3 x^{- 5} y^{2})}^{0}}{{(4 x^{- 3} y^{2})}^{- 2}}$
201876	Solve the System of Inequalities	-3x-3y>=-18 -x<=-y	$- 3 x - 3 y \geq - 18$ $- x \leq - y$
201877	Simplify	((8x^-3y)^-1)/(2x^2y^-1)	$\frac{{(8 x^{- 3} y)}^{- 1}}{2 x^{2} y^{- 1}}$
201878	Simplify	(6a)/(x^2-x)*(2x-2)/(3ax)	$\frac{6 a}{x^{2} - x} \cdot \frac{2 x - 2}{3 a x}$
201879	Solve for y	y=x+5 , x=3	$y = x + 5$ , $x = 3$
201880	Evaluate	1/3xy+5/4xy^2-3/4xy+1/2xy^2-3x^2y+5/6x^2y	$\frac{1}{3} x y + \frac{5}{4} x y^{2} - \frac{3}{4} x y + \frac{1}{2} x y^{2} - 3 x^{2} y + \frac{5}{6} x^{2} y$
201881	Simplify	-1.3f+0.4j-12-1+2.9f	$- 1.3 f + 0.4 j - 12 - 1 + 2.9 f$
201882	Solve for x	cube root of x^2+5x = cube root of 5x-6	$\sqrt[3]{x^{2} + 5 x} = \sqrt[3]{5 x - 6}$
201883	Simplify	((x^(-1/2)y^2)^(-5/4))/(x^2y^(1/2))	$\frac{{(x^{- \frac{1}{2}} y^{2})}^{- \frac{5}{4}}}{x^{2} y^{\frac{1}{2}}}$
201884	Simplify	(ab-b)/a-(ab-a)/b-(a^2-b^2)/(ab)	$\frac{a b - b}{a} - \frac{a b - a}{b} - \frac{a^{2} - b^{2}}{a b}$
201885	Simplify	(5x-15x^2)/(2-6x)	$\frac{5 x - 15 x^{2}}{2 - 6 x}$
201886	Graph	g(x)=1/5 square root of x-3	$g (x) = \frac{1}{5} \sqrt{x - 3}$
201887	Solve for x	(x+2)-4=-5+4(x-1)	$(x + 2) - 4 = - 5 + 4 (x - 1)$
201888	Solve for b	-1/5b-2/5=-2	$- \frac{1}{5} b - \frac{2}{5} = - 2$
201889	Evaluate	(x^3y^-2)^4	${(x^{3} y^{- 2})}^{4}$
201890	Find the Domain and Range	y=arccos(x)-2	$y = \arccos (x) - 2$
201891	Simplify	5/(2x)+3/x+1/(3x)	$\frac{5}{2 x} + \frac{3}{x} + \frac{1}{3 x}$
201892	Solve for k	(3 square root of 3)^2 = square root of k	${(3 \sqrt{3})}^{2} = \sqrt{k}$
201893	Solve for x	(x+3)/x+2=(x+5)/x	$\frac{x + 3}{x} + 2 = \frac{x + 5}{x}$
201894	Simplify	((4/3)(2/5))÷(3/2)	$((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$
201895	Solve for x	17^(3(x+1))=17^x	$17^{3 (x + 1)} = 17^{x}$
201896	Convert to Radical Form	(5a^3b^2)2/3	$(5 a^{3} b^{2}) \frac{2}{3}$
201897	Graph	f(x)=-x/2+2	$f (x) = - \frac{x}{2} + 2$
201898	Simplify	5x^4(2x^3-6x^2+3)-3x^2(3x^4+4x^2-7x)	$5 x^{4} (2 x^{3} - 6 x^{2} + 3) - 3 x^{2} (3 x^{4} + 4 x^{2} - 7 x)$
201899	Graph	3x-y>=-1 2x+y>=5	$3 x - y \geq - 1$ $2 x + y \geq 5$
201900	Simplify	((2x)/27)÷((4x+20)/9)	$\frac{2 x}{27} \div \frac{4 x + 20}{9}$