Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
12501	Convert to Radical Form	y^(-8/7)	$y^{- \frac{8}{7}}$
12502	Factor	5a^2-15	$5 a^{2} - 15$
12503	Factor	49x^2-81y^2	$49 x^{2} - 81 y^{2}$
12504	Expand the Trigonometric Expression	-n^2(n^2+5n+6)	$- n^{2} (n^{2} + 5 n + 6)$
12505	Factor	6x^2-24x	$6 x^{2} - 24 x$
12506	Expand the Trigonometric Expression	(y^2-9)(y^2-4)	$(y^{2} - 9) (y^{2} - 4)$
12507	Factor	6x^2-x-5	$6 x^{2} - x - 5$
12508	Expand the Trigonometric Expression	(6w-y)(6w+y)	$(6 w - y) (6 w + y)$
12509	Factor	6x^2-5xy-6y^2	$6 x^{2} - 5 x y - 6 y^{2}$
12510	Write with Rational (Fractional) Exponents	( fourth root of 81)^5	${(\sqrt[4]{81})}^{5}$
12511	Convert to Scientific Notation	9.310^7-3.410^6	$9.3 \cdot 10^{7} - 3.4 \cdot 10^{6}$
12512	Convert to Radical Form	(-81)^(3/4)	${(- 81)}^{\frac{3}{4}}$
12513	Write with Rational (Fractional) Exponents	square root of 11	$\sqrt{11}$
12514	Find the Center and Radius	x^2+y^2-2y-99=0	$x^{2} + y^{2} - 2 y - 99 = 0$
12515	Find the Center and Radius	x^2+y^2-10x+4y+25=0	$x^{2} + y^{2} - 10 x + 4 y + 25 = 0$
12516	Solve by Substitution	8x+y=-16 , -3x+y=-5	$8 x + y = - 16$ , $- 3 x + y = - 5$
12517	Find the Center and Radius	x^2+y^2-4x+8y+11=0	$x^{2} + y^{2} - 4 x + 8 y + 11 = 0$
12518	Simplify	( square root of 150x^4)/( square root of 3x)	$\frac{\sqrt{150 x^{4}}}{\sqrt{3 x}}$
12519	Find the Center and Radius	x^2+(y+4)^2=64	$x^{2} + {(y + 4)}^{2} = 64$
12520	Find the Center and Radius	(x-13.4)^2+(y+2.6)^2=100	${(x - 13.4)}^{2} + {(y + 2.6)}^{2} = 100$
12521	Solve by Substitution	x^2+y^2=4 , x^2+(y-1)^2=1	$x^{2} + y^{2} = 4$ , $x^{2} + {(y - 1)}^{2} = 1$
12522	Find the Directrix	x=4y^2	$x = 4 y^{2}$
12523	Solve by Substitution	3x+2y=4 , 5x-4y=3	$3 x + 2 y = 4$ , $5 x - 4 y = 3$
12524	Combine	-4y-4+(-3)	$- 4 y - 4 + (- 3)$
12525	Combine	-2x-x+8	$- 2 x - x + 8$
12526	Convert to Regular Notation	9.9*10^3	$9.9 \cdot 10^{3}$
12527	Convert to Regular Notation	12.3*10^-7	$12.3 \cdot 10^{- 7}$
12528	Evaluate	10^( log of 5)	$10^{\log (5)}$
12529	Write in Standard Form	(26+16i)-(26-7i)	$(26 + 16 i) - (26 - 7 i)$
12530	Solve for x	2(4+2x)>=5x+5	$2 (4 + 2 x) \geq 5 x + 5$
12531	Write in Standard Form	(z^2-z+12)+(z^3+z^2-12z)	$(z^{2} - z + 12) + (z^{3} + z^{2} - 12 z)$
12532	Simplify	cube root of y^10 ninth root of y^6	$\sqrt[3]{y^{10}} \sqrt[9]{y^{6}}$
12533	Write in Standard Form	(1+i)^3	${(1 + i)}^{3}$
12534	Graph	y=(x-3)(x+4)	$y = (x - 3) (x + 4)$
12535	Solve by Factoring	10x^2-25x+15=0	$10 x^{2} - 25 x + 15 = 0$
12536	Simplify	square root of 810	$\sqrt{810}$
12537	Solve for x	-3+8x-5=-8	$- 3 + 8 x - 5 = - 8$
12538	Find the x and y Intercepts	f(x)=2x^3-10x^2-8x+40	$f (x) = 2 x^{3} - 10 x^{2} - 8 x + 40$
12539	Graph	y=1/3x-1	$y = \frac{1}{3} x - 1$
12540	Find the Determinant	[[8,1],[2,8]]	$[\begin{array}{c} 8 & 1 \\ 2 & 8 \end{array}]$
12541	Graph	y=(x-3)^2-4	$y = {(x - 3)}^{2} - 4$
12542	Find the Roots (Zeros)	square root of 12x-23 = square root of 3x-11+ square root of 3x	$\sqrt{12 x - 23} = \sqrt{3 x - 11} + \sqrt{3 x}$
12543	Simplify	( square root of 10)/( fourth root of 8)	$\frac{\sqrt{10}}{\sqrt[4]{8}}$
12544	Find the Roots (Zeros)	x^3+x^2-17x+15=0	$x^{3} + x^{2} - 17 x + 15 = 0$
12545	Simplify	cube root of -512x^3	$\sqrt[3]{- 512 x^{3}}$
12546	Simplify	(m^2-2m+1)/(m-1)	$\frac{m^{2} - 2 m + 1}{m - 1}$
12547	Find the Perfect Square Trinomial	x^2+11x+	$x^{2} + 11 x +$
12548	Graph	y=2/3x+2	$y = \frac{2}{3} x + 2$
12549	Find the Perfect Square Trinomial	4x^2+16x+c	$4 x^{2} + 16 x + c$
12550	Solve for x	x^4-16=0	$x^{4} - 16 = 0$
12551	Find the Perfect Square Trinomial	4x^2+12x+c	$4 x^{2} + 12 x + c$
12552	Solve for x	50^x=0.02	$50^{x} = 0.02$
12553	Find the Roots (Zeros)	f(x)=x^3-x^2-14x+24	$f (x) = x^{3} - x^{2} - 14 x + 24$
12554	Solve for x	5^x=3125	$5^{x} = 3125$
12555	Find the Roots (Zeros)	f(x)=-2x^3-2x^2+8x+3	$f (x) = - 2 x^{3} - 2 x^{2} + 8 x + 3$
12556	Solve for x	3^(2x-1)=81	$3^{2 x - 1} = 81$
12557	Find the Roots (Zeros)	f(x)=(x^2+2x-8)/(x^2-2x-8)	$f (x) = \frac{x^{2} + 2 x - 8}{x^{2} - 2 x - 8}$
12558	Solve for x	4^x=10	$4^{x} = 10$
12559	Solve for x	4^x=1/16	$4^{x} = \frac{1}{16}$
12560	Find the Inverse	f(x) = natural log of 3x	$f (x) = \ln (3 x)$
12561	Solve for x	32^x=8	$32^{x} = 8$
12562	Solve for x	7(5x+9)=-(x-9)	$7 (5 x + 9) = - (x - 9)$
12563	Solve for x	log base x of 27=-3	$\log_{x} (27) = - 3$
12564	Identify the Conic	x^2+y^2+6x+8y+24=0	$x^{2} + y^{2} + 6 x + 8 y + 24 = 0$
12565	Solve for x	e^(x+1)=1/e	$e^{x + 1} = \frac{1}{e}$
12566	Identify the Conic	25x^2+9y^2-50x-54y=119	$25 x^{2} + 9 y^{2} - 50 x - 54 y = 119$
12567	Solve for x	km/3-2x=4	$\frac{km}{3} - 2 x = 4$
12568	Find the Roots (Zeros)	x^4-4x^3-9x^2+36x	$x^{4} - 4 x^{3} - 9 x^{2} + 36 x$
12569	Solve for x	log base 3 of x+ log base 3 of x-24=4	$\log_{3} (x) + \log_{3} (x - 24) = 4$
12570	Solve for x	log base 3 of 2x-1=2	$\log_{3} (2 x - 1) = 2$
12571	Find the Domain	h(t)=1/t	$h (t) = \frac{1}{t}$
12572	Solve for x	log base 27 of 9=x	$\log_{27} (9) = x$
12573	Solve for x	-1<x+2<=7	$- 1 < x + 2 \leq 7$
12574	Solve for x	e^(2x)-5e^x+6=0	$e^{2 x} - 5 e^{x} + 6 = 0$
12575	Convert to Interval Notation	x>=8/(2+x)	$x \geq \frac{8}{2 + x}$
12576	Solve for x	e^(2x)-e^x-6=0	$e^{2 x} - e^{x} - 6 = 0$
12577	Convert to Interval Notation	x^2-6x<=-4	$x^{2} - 6 x \leq - 4$
12578	Solve for x	81^x=243	$81^{x} = 243$
12579	Convert to Interval Notation	x>=-10	$x \geq - 10$
12580	Solve for n	9+9n=9	$9 + 9 n = 9$
12581	Find the Vertex	y=4x^2-5x+16	$y = 4 x^{2} - 5 x + 16$
12582	Solve for v	26=8+v	$26 = 8 + v$
12583	Find the Vertex	y=1/2(x+3)^2-4	$y = \frac{1}{2} {(x + 3)}^{2} - 4$
12584	Solve for x	11^x=1331	$11^{x} = 1331$
12585	Convert to Logarithmic Form	4^5=y	$4^{5} = y$
12586	Solve for x	\|x-2\|=7	$\| x - 2 \| = 7$
12587	Solve for x	x^3-1=0	$x^{3} - 1 = 0$
12588	Find the Asymptotes	((x-3)(x-1))/((x-1)(x-5))	$\frac{(x - 3) (x - 1)}{(x - 1) (x - 5)}$
12589	Solve for x	\|4x-1\|=6	$\| 4 x - 1 \| = 6$
12590	Solve for x	(5/3)^x=(27/125)	${(\frac{5}{3})}^{x} = (\frac{27}{125})$
12591	Convert to Logarithmic Form	e^3=20.09	$e^{3} = 20.09$
12592	Solve for y	3x+7y=21	$3 x + 7 y = 21$
12593	Convert to Logarithmic Form	3^c=27	$3^{c} = 27$
12594	Expand the Trigonometric Expression	-p^2(p^2-p-1)	$- p^{2} (p^{2} - p - 1)$
12595	Simplify	n root of x^(3n)	$\sqrt[n]{x^{3 n}}$
12596	Rationalize the Denominator	(x^4)/( square root of 7x-9)	$\frac{x^{4}}{\sqrt{7 x - 9}}$
12597	Solve for y	y+3=0	$y + 3 = 0$
12598	Find the LCD	6/(50x^4y^3) , 9/(25xy^2)	$\frac{6}{50 x^{4} y^{3}}$ , $\frac{9}{25 x y^{2}}$
12599	Graph	y>2x	$y > 2 x$
12600	Find the LCD	7/(75xy^2) , 9/(25x^2y^5)	$\frac{7}{75 x y^{2}}$ , $\frac{9}{25 x^{2} y^{5}}$