Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
110801	Simplify	fifth root of x^10y^5	$\sqrt[5]{x^{10} y^{5}}$
110802	Simplify	fifth root of 243/(y^10)	$\sqrt[5]{\frac{243}{y^{10}}}$
110803	Simplify	fifth root of -1/32	$\sqrt[5]{- \frac{1}{32}}$
110804	Simplify	fifth root of 243x^6z^13	$\sqrt[5]{243 x^{6} z^{13}}$
110805	Find the Domain	h(x) = square root of x-8	$h (x) = \sqrt{x - 8}$
110806	Simplify	fourth root of 36 fourth root of 27	$\sqrt[4]{36} \sqrt[4]{27}$
110807	Identify the Zeros and Their Multiplicities	f(x)=x^3-22x^2+121x	$f (x) = x^{3} - 22 x^{2} + 121 x$
110808	Simplify	fourth root of 324	$\sqrt[4]{324}$
110809	Identify the Zeros and Their Multiplicities	f(x)=x^3+9x^2-16x-144	$f (x) = x^{3} + 9 x^{2} - 16 x - 144$
110810	Simplify	fourth root of 256x^12	$\sqrt[4]{256 x^{12}}$
110811	Identify the Zeros and Their Multiplicities	f(x)=3(x-2)(x-1)^3	$f (x) = 3 (x - 2) {(x - 1)}^{3}$
110812	Simplify	fourth root of 486	$\sqrt[4]{486}$
110813	Simplify	(x+1)/(x^2-3x-4)	$\frac{x + 1}{x^{2} - 3 x - 4}$
110814	Simplify	(x+3)/(x^2-5x-24)	$\frac{x + 3}{x^{2} - 5 x - 24}$
110815	Simplify/Condense	3 log of x+ log of 4- log of x- log of 6	$3 \log (x) + \log (4) - \log (x) - \log (6)$
110816	Simplify	eighth root of 256x^9	$\sqrt[8]{256 x^{9}}$
110817	Simplify	seventh root of t square root of t	$\sqrt[7]{t} \sqrt{t}$
110818	Find the Center and Radius	x^2+y^2+2x-6y+14=0	$x^{2} + y^{2} + 2 x - 6 y + 14 = 0$
110819	Simplify	seventh root of 75t^30	$\sqrt[7]{75 t^{30}}$
110820	Simplify	(x-1/x)/(1-1/x)	$\frac{x - \frac{1}{x}}{1 - \frac{1}{x}}$
110821	Simplify	ninth root of x^6y^3	$\sqrt[9]{x^{6} y^{3}}$
110822	Divide Using Long Polynomial Division	(4x^4+5x-4)÷(x^2-3x-2)	$(4 x^{4} + 5 x - 4) \div (x^{2} - 3 x - 2)$
110823	Simplify	ninth root of x^3y^3	$\sqrt[9]{x^{3} y^{3}}$
110824	Simplify	ninth root of x	$\sqrt[9]{x}$
110825	Convert to a Simplified Fraction	0.245	$0.245$
110826	Simplify	(x+6)/(x^2+12x+36)	$\frac{x + 6}{x^{2} + 12 x + 36}$
110827	Convert to a Simplified Fraction	23.5%	$23.5 %$
110828	Simplify	(x-11)/(x^2-121)	$\frac{x - 11}{x^{2} - 121}$
110829	Simplify	(x-4)/((x+5)(x-1))	$\frac{x - 4}{(x + 5) (x - 1)}$
110830	Simplify	(y-3)/(y^2-9)	$\frac{y - 3}{y^{2} - 9}$
110831	Combine	8t+1+(-4t)+(-6)	$8 t + 1 + (- 4 t) + (- 6)$
110832	Simplify	7 square root of 96x^3	$7 \sqrt{96 x^{3}}$
110833	Find the Roots (Zeros)	f(x)=x^2+100	$f (x) = x^{2} + 100$
110834	Simplify	5 square root of x^3	$5 \sqrt{x^{3}}$
110835	Simplify	5 square root of 6	$5 \sqrt{6}$
110836	Simplify	x( square root of x)	$x (\sqrt{x})$
110837	Simplify	-8 square root of 25	$- 8 \sqrt{25}$
110838	Simplify	2 square root of 5( square root of 6+2)	$2 \sqrt{5} (\sqrt{6} + 2)$
110839	Find the Maximum/Minimum Value	p(x)=-2(x-9)^2+200	$p (x) = - 2 {(x - 9)}^{2} + 200$
110840	Simplify	2 square root of 72	$2 \sqrt{72}$
110841	Simplify	2i square root of 2	$2 i \sqrt{2}$
110842	Find the Domain and Range	f(x)=-1/2x^2-2x+6	$f (x) = - \frac{1}{2} x^{2} - 2 x + 6$
110843	Simplify	4 square root of 243	$4 \sqrt{243}$
110844	Find the Domain and Range	f(x)=-x^2-6x-9	$f (x) = - x^{2} - 6 x - 9$
110845	Simplify	4 square root of 44x^6y^5	$4 \sqrt{44 x^{6} y^{5}}$
110846	Simplify	4 square root of 8	$4 \sqrt{8}$
110847	Simplify	-3 square root of 180x^4	$- 3 \sqrt{180 x^{4}}$
110848	Divide	((3x)/8)/((7y)/4)	$\frac{\frac{3 x}{8}}{\frac{7 y}{4}}$
110849	Divide	(pi^7pi)/(pi^-2)	$\frac{π^{7} π}{π^{- 2}}$
110850	Divide	(r^-5)/(s^-1)	$\frac{r^{- 5}}{s^{- 1}}$
110851	Divide	(t^2-4t-32)/(t-8)	$\frac{t^{2} - 4 t - 32}{t - 8}$
110852	Divide	(a^4b^-3)/(ab^-2)	$\frac{a^{4} b^{- 3}}{a b^{- 2}}$
110853	Find the Roots (Zeros)	(3x^4-8x^3+15x-40)(3x-8)^2	$(3 x^{4} - 8 x^{3} + 15 x - 40) {(3 x - 8)}^{2}$
110854	Divide	((9x^2-y^2)/(xy))/(3/y-1/x)	$\frac{\frac{9 x^{2} - y^{2}}{x y}}{\frac{3}{y} - \frac{1}{x}}$
110855	Find the Roots (Zeros)	x^3-x^2+9x-9	$x^{3} - x^{2} + 9 x - 9$
110856	Divide	(3x^4+2x^3-x^2+2x-9)/(x+2)	$\frac{3 x^{4} + 2 x^{3} - x^{2} + 2 x - 9}{x + 2}$
110857	Divide	(((x+4)^2)/(x-4))/((x^2-16)/(4x-16))	$\frac{\frac{{(x + 4)}^{2}}{x - 4}}{\frac{x^{2} - 16}{4 x - 16}}$
110858	Divide	((x^2)/(x^2+2x+1))/((3x)/(x^2-1))	$\frac{\frac{x^{2}}{x^{2} + 2 x + 1}}{\frac{3 x}{x^{2} - 1}}$
110859	Find the x and y Intercepts	f(x)=3x^2-36	$f (x) = 3 x^{2} - 36$
110860	Divide	(20+40x)/(20x)	$\frac{20 + 40 x}{20 x}$
110861	Divide	-2/(5i)	$- \frac{2}{5 i}$
110862	Divide	(2x^3-12x^2+18x-108)/(x-6)	$\frac{2 x^{3} - 12 x^{2} + 18 x - 108}{x - 6}$
110863	Divide	(2v^2+10v-48)/(8v+64)	$\frac{2 v^{2} + 10 v - 48}{8 v + 64}$
110864	Solve Using the Quadratic Formula	-8x+10-3x^2=-12x	$- 8 x + 10 - 3 x^{2} = - 12 x$
110865	Divide	(1-x)/(x-1)	$\frac{1 - x}{x - 1}$
110866	Solve Using the Quadratic Formula	-5x^2+9+7x=0	$- 5 x^{2} + 9 + 7 x = 0$
110867	Divide	(12a^3-3a^2-5a+14)/(4a+3)	$\frac{12 a^{3} - 3 a^{2} - 5 a + 14}{4 a + 3}$
110868	Divide	(12r^2)/(2r)	$\frac{12 r^{2}}{2 r}$
110869	Solve by Completing the Square	y^2+10y=-9	$y^{2} + 10 y = - 9$
110870	Divide	1/(p^-5)	$\frac{1}{p^{- 5}}$
110871	Divide	1/(p^-9)	$\frac{1}{p^{- 9}}$
110872	Divide	1/(p^-18)	$\frac{1}{p^{- 18}}$
110873	Divide	-1/(6(1/(6x)))	$- \frac{1}{6 (\frac{1}{6 x})}$
110874	Divide	1/(6(-6x))	$\frac{1}{6 (- 6 x)}$
110875	Find Where Undefined/Discontinuous	((k^4-k^2)/(18k^6))÷((k^2-37k-38)/(12k^2-24k))	$\frac{k^{4} - k^{2}}{18 k^{6}} \div \frac{k^{2} - 37 k - 38}{12 k^{2} - 24 k}$
110876	Find Where Undefined/Discontinuous	((3x-6)/(x^2+21x+54))÷((40x^2)/(x^2+6x+9))	$\frac{3 x - 6}{x^{2} + 21 x + 54} \div \frac{40 x^{2}}{x^{2} + 6 x + 9}$
110877	Divide	(y^8)/(y^3)	$\frac{y^{8}}{y^{3}}$
110878	Divide	(x^4-12x^2-64)/(x+4)	$\frac{x^{4} - 12 x^{2} - 64}{x + 4}$
110879	Find Where Undefined/Discontinuous	(x^2+7x+10)/(x+3)*(x^2-3x-18)/(x^2+x-2)	$\frac{x^{2} + 7 x + 10}{x + 3} \cdot \frac{x^{2} - 3 x - 18}{x^{2} + x - 2}$
110880	Divide	(x^4-2x^2-8)/(x+2)	$\frac{x^{4} - 2 x^{2} - 8}{x + 2}$
110881	Convert to a Simplified Fraction	0.1019	$0.1019$
110882	Solve by Substitution	3x+4y=5 , 2x-3y=-8	$3 x + 4 y = 5$ , $2 x - 3 y = - 8$
110883	Solve by Factoring	5x^2+6x-32=0	$5 x^{2} + 6 x - 32 = 0$
110884	Divide	(x^4)/(x^9)	$\frac{x^{4}}{x^{9}}$
110885	Divide	(x^3-6)/(x+2)	$\frac{x^{3} - 6}{x + 2}$
110886	Divide	(x^2-25)/(3x-15)	$\frac{x^{2} - 25}{3 x - 15}$
110887	Divide	(x^2-15x+56)/(x-7)	$\frac{x^{2} - 15 x + 56}{x - 7}$
110888	Divide	(x^2-16)/(6x+24)	$\frac{x^{2} - 16}{6 x + 24}$
110889	Find the x and y Intercepts	y=3x^3-24	$y = 3 x^{3} - 24$
110890	Divide	(x^2+76x+98)/(x+6)	$\frac{x^{2} + 76 x + 98}{x + 6}$
110891	Find the x and y Intercepts	y=x^2-4x-45	$y = x^{2} - 4 x - 45$
110892	Find the x and y Intercepts	8x+3=-8y+3	$8 x + 3 = - 8 y + 3$
110893	Divide	(x^2+3x-10)/(x+5)	$\frac{x^{2} + 3 x - 10}{x + 5}$
110894	Divide	(x^2+2x-63)/(x+9)	$\frac{x^{2} + 2 x - 63}{x + 9}$
110895	Divide	(x^2)/(x-1)	$\frac{x^{2}}{x - 1}$
110896	Divide	(x^2-y^2)/(x-y)	$\frac{x^{2} - y^{2}}{x - y}$
110897	Divide	(x^3-1000)/(x-10)	$\frac{x^{3} - 1000}{x - 10}$
110898	Find the Domain	g(x)=( square root of x-5)/(x-6)	$g (x) = \frac{\sqrt{x - 5}}{x - 6}$
110899	Divide	(x^2-8x+15)/(x-5)	$\frac{x^{2} - 8 x + 15}{x - 5}$
110900	Divide	(x^2-49)/(7+x)	$\frac{x^{2} - 49}{7 + x}$