Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205101	Simplify	(m^2)^(3/2)n^(1/7)	${(m^{2})}^{\frac{3}{2}} n^{\frac{1}{7}}$
205102	Evaluate	3( log base 9 of x)^2	$3 {\log_{9}}^{2} (x)$
205103	Convert to a Decimal	600deg	$600$ degrees
205104	Simplify	(3x^5-2x^3+5x)/(x^2)	$\frac{3 x^{5} - 2 x^{3} + 5 x}{x^{2}}$
205105	Simplify	(5^3*2^6)/(2^8)	$\frac{5^{3} \cdot 2^{6}}{2^{8}}$
205106	Simplify	(2 square root of 8x)/(3 square root of 6)	$\frac{2 \sqrt{8 x}}{3 \sqrt{6}}$
205107	Simplify	(2pi)/((5pi)/2)	$\frac{2 π}{\frac{5 π}{2}}$
205108	Solve by Substitution	x+2y=16 4y=x+8	$x + 2 y = 16$ $4 y = x + 8$
205109	Evaluate	((3x^-4)^6)/(9x^-12)	$\frac{{(3 x^{- 4})}^{6}}{9 x^{- 12}}$
205110	Factor	2x^4+3x^3+6x^2-2	$2 x^{4} + 3 x^{3} + 6 x^{2} - 2$
205111	Solve for x	(a^x)^(2/3)=1/(a^2)	${(a^{x})}^{\frac{2}{3}} = \frac{1}{a^{2}}$
205112	Divide	( square root of 5)/(5+ square root of 2)	$\frac{\sqrt{5}}{5 + \sqrt{2}}$
205113	Simplify	9^(1/4)*9^(1/4)	$9^{\frac{1}{4}} \cdot 9^{\frac{1}{4}}$
205114	Solve by Substitution	(x+3y)/2=5 4-(2x-y)/2=1	$\frac{x + 3 y}{2} = 5$ $4 - \frac{2 x - y}{2} = 1$
205115	Solve the Rational Equation for x	square root of x=12	$\sqrt{x} = 12$
205116	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+7x^2+9x+2 is divided by 4x+1	Use the long division method to find the result when $12 x^{3} + 7 x^{2} + 9 x + 2$ is divided by $4 x + 1$
205117	Evaluate	-4/((38*10^-6)(-100))	$\frac{- 4}{(38 \cdot 10^{- 6}) (- 100)}$
205118	Simplify	2y cube root of 27x^5y^7	$2 y \sqrt[3]{27 x^{5} y^{7}}$
205119	Evaluate	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
205120	Convert to Rectangular	5(cos(135 degrees )+isin(135 degrees ))*2(cos(45 degrees )+isin(45 degrees ))	$5 (\cos (135 °) + i \sin (135 °)) \cdot 2 (\cos (45 °) + i \sin (45 °))$
205121	Factor	(x/x)^2+1	${(\frac{x}{x})}^{2} + 1$
205122	Simplify	( square root of 5+ square root of 6+ square root of 7)( square root of 5+ square root of 6- square root of 7)	$(\sqrt{5} + \sqrt{6} + \sqrt{7}) (\sqrt{5} + \sqrt{6} - \sqrt{7})$
205123	Solve the Inequality for x	(4x+5)/x>3	$\frac{4 x + 5}{x} > 3$
205124	Solve the System of Equations	3(y-4)-2(x-3)=-6 5x^2+2y^2-53=0	$3 (y - 4) - 2 (x - 3) = - 6$ $5 x^{2} + 2 y^{2} - 53 = 0$
205125	Rationalize the Denominator	fourth root of 5/(8a^2)	$\sqrt[4]{\frac{5}{8 a^{2}}}$
205126	Graph	x-y=1 y=5	$x - y = 1$ $y = 5$
205127	Simplify	(2x^(1/2)y^(3/4))(-3x^(2/3)y^(1/2))	$(2 x^{\frac{1}{2}} y^{\frac{3}{4}}) (- 3 x^{\frac{2}{3}} y^{\frac{1}{2}})$
205128	Simplify the Radical Expression	cube root of 343/(x^9)	$\sqrt[3]{\frac{343}{x^{9}}}$
205129	Evaluate	fourth root of 3x-5=-8	$\sqrt[4]{3 x} - 5 = - 8$
205130	Find the Equation Using Two Points	(2,30 degrees ) , (5,120 degrees )	$(2, 30 °)$ , $(5, 120 °)$
205131	Simplify	3/( square root of 2+ square root of 5)	$\frac{3}{\sqrt{2} + \sqrt{5}}$
205132	Solve the Rational Equation for x	square root of x=-9	$\sqrt{x} = - 9$
205133	Simplify the Radical Expression	2/( square root of 8+ square root of 7)	$\frac{2}{\sqrt{8} + \sqrt{7}}$
205134	Evaluate	x^2+3=19	$x^{2} + 3 = 19$
205135	Find the Degree, Leading Term, and Leading Coefficient	-x^4+1-1/4x^2	$- x^{4} + 1 - \frac{1}{4} x^{2}$
205136	Simplify	( cube root of 10y)^3	${(\sqrt[3]{10 y})}^{3}$
205137	Graph	f(x)=(6x)^(1/2)+3	$f (x) = {(6 x)}^{\frac{1}{2}} + 3$
205138	Find the LCM	8v^2-6v , 3	$8 v^{2} - 6 v$ , $3$
205139	Convert to a Percentage	14 is what percent of 56	$14$ is what percent of $56$
205140	Solve for p	4 square root of 3p+1=16	$4 \sqrt{3 p + 1} = 16$
205141	Simplify	((x+5)/10)÷((5(x+5))/2)	$\frac{x + 5}{10} \div \frac{5 (x + 5)}{2}$
205142	Simplify	((x^(4/7))/(x^(2/3)))	$(\frac{x^{\frac{4}{7}}}{x^{\frac{2}{3}}})$
205143	Write in Standard Form	6x^4-1	$6 x^{4} - 1$
205144	Solve for r	-10-5r+7r=10-8(-4r-5)	$- 10 - 5 r + 7 r = 10 - 8 (- 4 r - 5)$
205145	Find the Inverse	y=2 square root of x	$y = 2 \sqrt{x}$
205146	Simplify	i^7*i^17	$i^{7} \cdot i^{17}$
205147	Solve for x	2/3x^2+20=2	$\frac{2}{3} x^{2} + 20 = 2$
205148	Simplify	square root of (b^4)/11	$\sqrt{\frac{b^{4}}{11}}$
205149	Evaluate	square root of 6*(2 square root of 3- square root of 2+ square root of 12)	$\sqrt{6} \cdot (2 \sqrt{3} - \sqrt{2} + \sqrt{12})$
205150	Simplify the Radical Expression	( square root of 8)/( square root of 100)	$\frac{\sqrt{8}}{\sqrt{100}}$
205151	Evaluate	(2x^2+5x-7)+(3-4x^2+6x)	$(2 x^{2} + 5 x - 7) + (3 - 4 x^{2} + 6 x)$
205152	Solve for c	0.8+7.2c=5.6c	$0.8 + 7.2 c = 5.6 c$
205153	Simplify	-9xy+11x^2-14y^2-(6y^2-5xy-3x^2)	$- 9 x y + 11 x^{2} - 14 y^{2} - (6 y^{2} - 5 x y - 3 x^{2})$
205154	Solve for x	x/(x-2)=5/(x-2)-1/2	$\frac{x}{x - 2} = \frac{5}{x - 2} - \frac{1}{2}$
205155	Write the Fraction in Simplest Form	((3s^-3)^5)/(3s^-2)	$\frac{{(3 s^{- 3})}^{5}}{3 s^{- 2}}$
205156	Evaluate	6÷( square root of 2)	$6 \div \sqrt{2}$
205157	Solve for x	x = square root of x-4+4	$x = \sqrt{x - 4} + 4$
205158	Find the Exact Value	12tan(pi/3)^2+24sec(pi/6)^2	$12 \tan^{2} (\frac{π}{3}) + 24 \sec^{2} (\frac{π}{6})$
205159	Solve by Graphing	y=5/2x+4 y=1/2x	$y = \frac{5}{2} x + 4$ $y = \frac{1}{2} x$
205160	Graph	y=5/2x+4 y=1/2x	$y = \frac{5}{2} x + 4$ $y = \frac{1}{2} x$
205161	Graph	5x^2+2y^2<=10 y>=x^2-2x+1	$5 x^{2} + 2 y^{2} \leq 10$ $y \geq x^{2} - 2 x + 1$
205162	Factor	cot(x)^3+cot(x)^2+cot(x)+1	$\cot^{3} (x) + \cot^{2} (x) + \cot (x) + 1$
205163	Simplify	(x^2+6x^3+3)-(3x^3+6x^2-3-4x)	$(x^{2} + 6 x^{3} + 3) - (3 x^{3} + 6 x^{2} - 3 - 4 x)$
205164	Simplify	(p^(-3/4)q^3)^(1/3)	${(p^{\frac{- 3}{4}} q^{3})}^{\frac{1}{3}}$
205165	Find All Complex Solutions	(x-2)^2=-16	${(x - 2)}^{2} = - 16$
205166	Solve for x	x/4+6/7(6x+7)=610	$\frac{x}{4} + \frac{6}{7} (6 x + 7) = 610$
205167	Solve for y	square root of y-8=-1	$\sqrt{y - 8} = - 1$
205168	Simplify	(-5)^(1/3)(-5)^(1/3)(-5)^(1/3)	${(- 5)}^{\frac{1}{3}} \cdot {(- 5)}^{\frac{1}{3}} \cdot {(- 5)}^{\frac{1}{3}}$
205169	Convert to a Decimal	35 girls : 15 boys	$35$ girls : $15$ boys
205170	Solve for x	6e^(0.25x+3)=26	$6 e^{0.25 x + 3} = 26$
205171	Find the Product	-x(2x^3-x^2+6x-8)	$- x (2 x^{3} - x^{2} + 6 x - 8)$
205172	Simplify	(6a^2)/(5b^2)*(45b^3)/(18a^3)	$\frac{6 a^{2}}{5 b^{2}} \cdot \frac{45 b^{3}}{18 a^{3}}$
205173	Simplify	2/((16m^3n^4)^-3)	$\frac{2}{{(16 m^{3} n^{4})}^{- 3}}$
205174	Simplify	(84xy^8)/( fourth root of 216x^3y^5)	$\frac{84 x y^{8}}{\sqrt[4]{216 x^{3} y^{5}}}$
205175	Simplify	cube root of 7^2* fifth root of 7^3	$\sqrt[3]{7^{2}} \cdot \sqrt[5]{7^{3}}$
205176	Solve for x	3^x*9^x=3^15	$3^{x} \cdot 9^{x} = 3^{15}$
205177	Write the Fraction in Simplest Form	(12c^9)/((4c)^4)	$\frac{12 c^{9}}{{(4 c)}^{4}}$
205178	Find the GCF	6x^2y-12xy+9x^3y^2	$6 x^{2} y - 12 x y + 9 x^{3} y^{2}$
205179	Solve for x	8 square root of x-10=6 square root of x	$8 \sqrt{x} - 10 = 6 \sqrt{x}$
205180	Evaluate	((3^-2)^5)/((27^-2)^2)	$\frac{{(3^{- 2})}^{5}}{{(27^{- 2})}^{2}}$
205181	Solve the System of Equations	3x-3y+6z=-21 -4x-y+z=15 -2x-y+z=7	$3 x - 3 y + 6 z = - 21$ $- 4 x - y + z = 15$ $- 2 x - y + z = 7$
205182	Simplify	(-6u^2v^4+12uv^4)-(2u^3v^4-9u^2v^4-5uv^4)+(-3u^3v^4-13uv^4)	$(- 6 u^{2} v^{4} + 12 u v^{4}) - (2 u^{3} v^{4} - 9 u^{2} v^{4} - 5 u v^{4}) + (- 3 u^{3} v^{4} - 13 u v^{4})$
205183	Solve for y	5+ square root of 4y-5=12	$5 + \sqrt{4 y - 5} = 12$
205184	Find the Domain and Range	g(x)=-3(x+1)^(1/3)	$g (x) = - 3 {(x + 1)}^{\frac{1}{3}}$
205185	Solve for m	m-7+5m=11	$m - 7 + 5 m = 11$
205186	Simplify the Radical Expression	(5^(1/2)x^(1/4))^2	${(5^{\frac{1}{2}} x^{\frac{1}{4}})}^{2}$
205187	Solve for f	4.5f=6.3f-4.5	$4.5 f = 6.3 f - 4.5$
205188	Solve for x	6=10x^3+6	$6 = 10 x^{3} + 6$
205189	Simplify	square root of 28x- square root of 14+ square root of 63x	$\sqrt{28 x} - \sqrt{14} + \sqrt{63 x}$
205190	Determine if a Polynomial	-y square root of 6+2yz	$- y \sqrt{6} + 2 y z$
205191	Solve the Rational Equation for a	-8+ square root of 5a-5=-3	$- 8 + \sqrt{5 a - 5} = - 3$
205192	Solve for y	(y+1)/2=-2(y+1)	$\frac{y + 1}{2} = - 2 (y + 1)$
205193	Find the End Behavior	f(x)=x^2+24-10x	$f (x) = x^{2} + 24 - 10 x$
205194	Graph	y<=-5/(2x)+5	$y \leq - \frac{5}{2 x} + 5$
205195	Simplify	(5/(6z^3))÷(5/(12z^5))	$\frac{5}{6 z^{3}} \div \frac{5}{12 z^{5}}$
205196	Write in Standard Form	w^3+5w^2+28-w	$w^{3} + 5 w^{2} + 28 - w$
205197	Evaluate	((2x^3)/(3x^2))^-1	${(\frac{2 x^{3}}{3 x^{2}})}^{- 1}$
205198	Graph	-x^2+y>=3	$- x^{2} + y \geq 3$
205199	Graph	y=-(x-3)(x+2)(3x-4)	$y = - (x - 3) (x + 2) (3 x - 4)$
205200	Solve for x	4x^2e^(-x^2)-2e^(-x^2)=0	$4 x^{2} e^{- x^{2}} - 2 e^{- x^{2}} = 0$