Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235401	Simplify	a(a^-3b^-4)^-2b^-3	$a {(a^{- 3} b^{- 4})}^{- 2} b^{- 3}$
235402	Factor	4x^3(x+1)^(-3/2)-x(x+1)^(-1/2)	$4 x^{3} {(x + 1)}^{- \frac{3}{2}} - x {(x + 1)}^{- \frac{1}{2}}$
235403	Simplify	(4x^3y^6z^4)/(8x^6yz^3)	$\frac{4 x^{3} y^{6} z^{4}}{8 x^{6} y z^{3}}$
235404	Solve for h	4 = square root of h-6	$4 = \sqrt{h - 6}$
235405	Write in Standard Form	x^2+(y-3 square root of 2x)^2=1	$x^{2} + {(y - 3 \sqrt{2 x})}^{2} = 1$
235406	Solve the Inequality for x	\|3-2x\|>=4	$\| 3 - 2 x \| \geq 4$
235407	Evaluate	sin(2arccos(( square root of 2)/2))	$\sin (2 \arccos (\frac{\sqrt{2}}{2}))$
235408	Solve for x	2^(x+4)*2^(4x+6)=2^(2x+1)	$2^{x + 4} \cdot 2^{4 x + 6} = 2^{2 x + 1}$
235409	Simplify	2 square root of 18a^6b^2	$2 \sqrt{18} a^{6} b^{2}$
235410	Simplify	square root of 2/( square root of 3)	$\sqrt{\frac{2}{\sqrt{3}}}$
235411	Evaluate	(3(25)^(1/2))/2	$\frac{3 {(25)}^{\frac{1}{2}}}{2}$
235412	Evaluate	(2^2)/(2^3)*2^5	$\frac{2^{2}}{2^{3}} \cdot 2^{5}$
235413	Write as a Single Logarithm	2( log base 3 of 20- log base 3 of 4)+0.5 log base 3 of 4	$2 (\log_{3} (20) - \log_{3} (4)) + 0.5 \log_{3} (4)$
235414	Describe the Transformation	f(x)=1.4^x-1 , g(x)=-1.4^x+6	$f (x) = {1.4}^{x} - 1$ , $g (x) = - {1.4}^{x} + 6$
235415	Solve the Rational Equation for x	square root of x+8 = square root of 3x+8	$\sqrt{x + 8} = \sqrt{3 x + 8}$
235416	Evaluate	-2/3(6x-12)<1/2(8-4x)	$- \frac{2}{3} (6 x - 12) < \frac{1}{2} (8 - 4 x)$
235417	Solve by Factoring	5^(x+1)+5^(x-1)=26	$5^{x + 1} + 5^{x - 1} = 26$
235418	Simplify	x^2+1/2(20x^2-10x+6)+2x	$x^{2} + \frac{1}{2} (20 x^{2} - 10 x + 6) + 2 x$
235419	Simplify	(9x^3y^4)÷(x^2)y^2	$9 x^{3} y^{4} \div x^{2} y^{2}$
235420	Evaluate	1/2!	$\frac{1}{2}!$
235421	Solve for d	6 = square root of d/16	$6 = \sqrt{\frac{d}{16}}$
235422	Graph Using a Table of Values	y^2+x=2	$y^{2} + x = 2$
235423	Solve the System of Equations	9y=-17x+72 -72+17x=-9y	$9 y = - 17 x + 72$ $- 72 + 17 x = - 9 y$
235424	Solve for v	-63=4v-8v-15	$- 63 = 4 v - 8 v - 15$
235425	Solve for x	2(2x-5)=3(x+2)	$2 (2 x - 5) = 3 (x + 2)$
235426	Graph	2x-y<3 x+2y>=4	$2 x - y < 3$ $x + 2 y \geq 4$
235427	Factor	108y-180xy+75x^2y	$108 y - 180 x y + 75 x^{2} y$
235428	Simplify	fifth root of m^5n^-5	$\sqrt[5]{m^{5} n^{- 5}}$
235429	Find the Exact Value	3*3^3	$3 \cdot 3^{3}$
235430	Find the Holes in the Graph	(x^2+x-6)/(x-2)	$\frac{x^{2} + x - 6}{x - 2}$
235431	Find the Exact Value	arcos (-( square root of 3)/2)	arcos $(- \frac{\sqrt{3}}{2})$
235432	Solve the Inequality for x	30<5x-5(x-6)/2<=60	$30 < 5 x - 5 \frac{x - 6}{2} \leq 60$
235433	Evaluate	60% of 20	$60 %$ of $20$
235434	Graph	f(x)=3x if x<0; x+2 if x>=0	$f (x) = {\begin{cases} 3 x & x < 0 \\ x + 2 & x \geq 0 \end{cases}$
235435	Solve the Inequality for v	\|4v-9\|<=27	$\| 4 v - 9 \| \leq 27$
235436	Find the Roots (Zeros)	3(x+3)^2-81=0	$3 {(x + 3)}^{2} - 81 = 0$
235437	Simplify	12/((10x-40)/(4/(2x-8)))	$\frac{12}{\frac{10 x - 40}{\frac{4}{2 x - 8}}}$
235438	Solve for x	3x^2-28=2x^2-3x	$3 x^{2} - 28 = 2 x^{2} - 3 x$
235439	Solve for x	1/6(x+1/5)=-17/15	$\frac{1}{6} (x + \frac{1}{5}) = - \frac{17}{15}$
235440	Solve for z	-6z+1=-4-7z	$- 6 z + 1 = - 4 - 7 z$
235441	Simplify	1/(6^13*8^16)	$\frac{1}{6^{13} \cdot 8^{16}}$
235442	Find the Exact Value	((2^-10)/(4^2))^7	${(\frac{2^{- 10}}{4^{2}})}^{7}$
235443	Simplify/Condense	4 log base 3 of x-1/3 log base 3 of x+6	$4 \log_{3} (x) - \frac{1}{3} \log_{3} (x + 6)$
235444	Evaluate	3(4*4)+(12/4)	$3 (4 \cdot 4) + (\frac{12}{4})$
235445	Simplify	cube root of (x^24)/27	$\sqrt[3]{\frac{x^{24}}{27}}$
235446	Find the Domain and Range	(2-x)^2+3	${(2 - x)}^{2} + 3$
235447	Divide	( square root of 24)/8	$\frac{\sqrt{24}}{8}$
235448	Simplify the Radical Expression	( square root of 7- square root of 5)/( square root of 12+ square root of 7)	$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{12} + \sqrt{7}}$
235449	Simplify	(-2+ square root of 3)/( square root of 3- square root of 15)	$\frac{- 2 + \sqrt{3}}{\sqrt{3} - \sqrt{15}}$
235450	Solve for k	1/2k+2=5+5/6k	$\frac{1}{2} k + 2 = 5 + \frac{5}{6} k$
235451	Find the Product	(12x^2+7y^3)(4x^2+7y^3)	$(12 x^{2} + 7 y^{3}) (4 x^{2} + 7 y^{3})$
235452	Solve for b	12(b+2)=8(b+5)	$12 (b + 2) = 8 (b + 5)$
235453	Simplify	(a-b^3+3c)(a-b^3-3c)	$(a - b^{3} + 3 c) (a - b^{3} - 3 c)$
235454	Simplify	square root of cube root of square root of y	$\sqrt{\sqrt[3]{\sqrt{y}}}$
235455	Find the GCF	16bc^2+24bc	$16 b c^{2} + 24 b c$
235456	Evaluate	(5^(1/4))+6(405^(1/4))	$(5^{\frac{1}{4}}) + 6 (405^{\frac{1}{4}})$
235457	Divide	((3x^2)/(3x))÷((x^2-9)/(x^2-10x+21))	$\frac{3 x^{2}}{3 x} \div \frac{x^{2} - 9}{x^{2} - 10 x + 21}$
235458	Evaluate	f(-1)=3(2)^x	$f (- 1) = 3 {(2)}^{x}$
235459	Solve for x	1/3(x-6)=1/9x-5/3	$\frac{1}{3} (x - 6) = \frac{1}{9} x - \frac{5}{3}$
235460	Solve for u	u+3/4=1/8	$u + \frac{3}{4} = \frac{1}{8}$
235461	Solve the Absolute Value Inequality for x	15=\|10-3x\|	$15 = \| 10 - 3 x \|$
235462	Solve the Inequality for x	1<=\|x\|<=4	$1 \leq \| x \| \leq 4$
235463	Graph	y<=(-1/3)x+4	$y \leq (- \frac{1}{3}) x + 4$
235464	Evaluate	(pi*5^2)/2	$\frac{π \cdot 5^{2}}{2}$
235465	Solve the System of Equations	y=x+z+5 z=-3y-3 2x-y=-4	$y = x + z + 5$ $z = - 3 y - 3$ $2 x - y = - 4$
235466	Evaluate	1/2(7+5^3)	$\frac{1}{2} (7 + 5^{3})$
235467	Simplify	(x+h)^2-x^2	${(x + h)}^{2} - x^{2}$
235468	Evaluate	3(cos(pi/6)+isin(pi/6))	$3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
235469	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+23x^2+23x+6 is divided by 3x+2	Use the long division method to find the result when $3 x^{3} + 23 x^{2} + 23 x + 6$ is divided by $3 x + 2$
235470	Solve the System of Equations	y=x-2 y=x^2-2	$y = x - 2$ $y = x^{2} - 2$
235471	Factor by Grouping	10a-25+5b	$10 a - 25 + 5 b$
235472	Simplify the Radical Expression	fourth root of (x^4y^24)/81	$\sqrt[4]{\frac{x^{4} y^{24}}{81}}$
235473	Simplify	(1-1/(x+2))/(1+3/(x-2))	$\frac{1 - \frac{1}{x + 2}}{1 + \frac{3}{x - 2}}$
235474	Convert to a Percentage	3/42*100%	$\frac{3}{42} \cdot 100 %$
235475	Solve for x	5/4(x-5/2)=-5/8	$\frac{5}{4} (x - \frac{5}{2}) = - \frac{5}{8}$
235476	Evaluate	square root of x-2=4	$\sqrt{x - 2} = 4$
235477	Solve for y	y=-4/3(-3)	$y = - \frac{4}{3} (- 3)$
235478	Simplify	(2^-2)^(3/2)	${(2^{- 2})}^{\frac{3}{2}}$
235479	Solve for x	145=10x-8x	$145 = 10 x - 8 x$
235480	Multiply	(6rs^2)(s^3t^2)(1/2r^4t^3)	$(6 r s^{2}) (s^{3} t^{2}) (\frac{1}{2} r^{4} t^{3})$
235481	Convert to Interval Notation	x<3 and x>-5	$x < 3$ and $x > - 5$
235482	Factor	(3x+y)^2-9	${(3 x + y)}^{2} - 9$
235483	Simplify	square root of 2x^2* square root of 15x^2	$\sqrt{2 x^{2}} \cdot \sqrt{15 x^{2}}$
235484	Simplify	square root of 2 square root of 8	$\sqrt{2 \sqrt{8}}$
235485	Solve for x	8ix=-5	$8 i x = - 5$
235486	Solve Using the Quadratic Formula	x^3-3x^2-4x+12	$x^{3} - 3 x^{2} - 4 x + 12$
235487	Evaluate	pi(3125/5-6250/3+3125)	$π (\frac{3125}{5} - \frac{6250}{3} + 3125)$
235488	Evaluate	f(x)=2 square root of -9	$f (x) = 2 \sqrt{- 9}$
235489	Simplify the Radical Expression	square root of 36+ square root of 64	$\sqrt{36} + \sqrt{64}$
235490	Simplify	(2t)/(3t-12)-8/(3t-12)	$\frac{2 t}{3 t - 12} - \frac{8}{3 t - 12}$
235491	Simplify the Radical Expression	square root of 8/25	$\sqrt{\frac{8}{25}}$
235492	Solve Using the Quadratic Formula	1/2x^2-x/4-1=0	$\frac{1}{2} x^{2} - \frac{x}{4} - 1 = 0$
235493	Divide	( square root of 6)÷( square root of 2)	$\sqrt{6} \div \sqrt{2}$
235494	Solve the Inequality for c	2c+6<2c+9	$2 c + 6 < 2 c + 9$
235495	Simplify	yy3	$y \cdot y \cdot 3$
235496	Simplify	1/(i^-25)	$\frac{1}{i^{- 25}}$
235497	Find the Exact Value	cos(-495 degrees )	$\cos (- 495 °)$
235498	Solve the System of Equations	-2x+3y+4z=5 6x+7y+z=9 3x+7y+z=-9	$- 2 x + 3 y + 4 z = 5$ $6 x + 7 y + z = 9$ $3 x + 7 y + z = - 9$
235499	Simplify	3(4x^2+x)-(3x^2+3x-1)	$3 (4 x^{2} + x) - (3 x^{2} + 3 x - 1)$
235500	Solve for x	z=3(x-h)	$z = 3 (x - h)$