Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
215301	Simplify the Radical Expression	square root of fourth root of 256z^8	$\sqrt{\sqrt[4]{256 z^{8}}}$
215302	Find the Parabola with Vertex (-4,0) and Directrix x=4	vertex (-4,0) directrix x=4	vertex $(- 4, 0)$ directrix $x = 4$
215303	Simplify	(m^(1/5)n^(-1/7))/(m^(-1/4)n^(2/7))	$\frac{m^{\frac{1}{5}} n^{- \frac{1}{7}}}{m^{- \frac{1}{4}} n^{\frac{2}{7}}}$
215304	Simplify	(3x^2y^-5)/( cube root of 64xy^3)	$\frac{3 x^{2} y^{- 5}}{\sqrt[3]{64 x y^{3}}}$
215305	Graph	d = square root of (x_2-x_1)^2+(y_2-y_1)^2	$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
215306	Simplify	(-10xy^2)(-2x^4y)^3	$(- 10 x y^{2}) {(- 2 x^{4} y)}^{3}$
215307	Simplify	((12p^2)/(7d^4))÷((6p^3)/(35d^2))	$\frac{12 p^{2}}{7 d^{4}} \div \frac{6 p^{3}}{35 d^{2}}$
215308	Solve the System of Equations	y=-x^2-3x+2 y=x+6	$y = - x^{2} - 3 x + 2$ $y = x + 6$
215309	Evaluate	(a^-7*b^-2)^-9	${(a^{- 7} \cdot b^{- 2})}^{- 9}$
215310	Find the Product	(x^22)(x^7)^3	$(x^{22}) {(x^{7})}^{3}$
215311	Solve the System of Equations	y-5=x x=-2-y	$y - 5 = x$ $x = - 2 - y$
215312	Find the x and y Intercepts	y=(x-2)^3(x+3)^2	$y = {(x - 2)}^{3} {(x + 3)}^{2}$
215313	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-2) and has a slope of 4 ?	What is the equation of the line that passes through the point $(- 2, - 2)$ and has a slope of $4$ ?
215314	Solve the Inequality for x	2 square root of x+3<=8	$2 \sqrt{x + 3} \leq 8$
215315	Write in Standard Form	11t+2t^2-3+t^5	$11 t + 2 t^{2} - 3 + t^{5}$
215316	Simplify	(a^2-b^2)/(a^2-3a)*(2a-6)/((a+b)^2)	$\frac{(a^{2} - b^{2})}{a^{2} - 3 a} \cdot \frac{(2 a - 6)}{{(a + b)}^{2}}$
215317	Find the Domain and Range	e^(x^2)	$e^{x^{2}}$
215318	Solve for x	-3x^2+297=0	$- 3 x^{2} + 297 = 0$
215319	Simplify	(d^2)/(b^0d^2)	$\frac{d^{2}}{b^{0} d^{2}}$
215320	Solve for x	2=4/x+1/3	$2 = \frac{4}{x} + \frac{1}{3}$
215321	Solve for h	1/2mv^2=mgh	$\frac{1}{2} m v^{2} = mg h$
215322	Simplify	((3 square root of 16)^-1)/2	$\frac{{(3 \sqrt{16})}^{- 1}}{2}$
215323	Simplify	(x^2+6x+9)^(1/2)	${(x^{2} + 6 x + 9)}^{\frac{1}{2}}$
215324	Evaluate	(5-2i)+(-7+8i)	$(5 - 2 i) + (- 7 + 8 i)$
215325	Simplify	((-14)^6)/((-14)^9)	$\frac{{(- 14)}^{6}}{{(- 14)}^{9}}$
215326	Solve for m	-7+1/6m=5	$- 7 + \frac{1}{6} m = 5$
215327	Simplify	(x^(1/3))(x^(1/6))	$(x^{\frac{1}{3}}) (x^{\frac{1}{6}})$
215328	Simplify	(x-2)/(x^2+5x+6)-5/(x+3)	$\frac{x - 2}{x^{2} + 5 x + 6} - \frac{5}{x + 3}$
215329	Write in Standard Form	y=6-2x-4x^2+5x^3	$y = 6 - 2 x - 4 x^{2} + 5 x^{3}$
215330	Subtract	(-10x^2+14)-(-x^3-9x^2)	$(- 10 x^{2} + 14) - (- x^{3} - 9 x^{2})$
215331	Solve the Inequality for x	-1/2x+1/3>3/5	$- \frac{1}{2} x + \frac{1}{3} > \frac{3}{5}$
215332	Graph	-1/3(k+3)<=6	$- \frac{1}{3} (k + 3) \leq 6$
215333	Simplify the Radical Expression	(3 square root of -16)(-9 square root of -100)	$(3 \sqrt{- 16}) (- 9 \sqrt{- 100})$
215334	Find All Complex Solutions	2e=2	$2 e = 2$
215335	Graph	f(x)=-x^2-1,x<0; x^2+1,x>=0	$f (x) = {\begin{cases} - x^{2} - 1, x < 0 \\ x^{2} + 1, x \geq 0 \end{cases}$
215336	Simplify	(6b)^(-4/3)	${(6 b)}^{\frac{- 4}{3}}$
215337	Solve for x	3(x-7)=2x	$3 (x - 7) = 2 x$
215338	Simplify	(-10-20x)/(10x+5)	$\frac{- 10 - 20 x}{10 x + 5}$
215339	Divide	(2 square root of 30-3 square root of 70)/( square root of 10)	$\frac{2 \sqrt{30} - 3 \sqrt{70}}{\sqrt{10}}$
215340	Solve the Absolute Value Inequality for x	\|x\|>-5	$\| x \| > - 5$
215341	Solve for v	-2e^(7v+5)-10=-17	$- 2 e^{7 v + 5} - 10 = - 17$
215342	Find the Roots (Zeros)	8x^5-192x^4+1536x^3-4096x^2=0	$8 x^{5} - 192 x^{4} + 1536 x^{3} - 4096 x^{2} = 0$
215343	Simplify	-8p(9p+2)+2(9-6p)	$- 8 p (9 p + 2) + 2 (9 - 6 p)$
215344	Solve the Inequality for a	3a<-16	$3 a < - 16$
215345	Simplify	( square root of 48)/( square root of 14)	$\frac{\sqrt{48}}{\sqrt{14}}$
215346	Simplify	(x-2)/(x^2+2x+4)-(6x)/(x^3-8)+1/(x-2)	$\frac{(x - 2)}{x^{2} + 2 x + 4} - \frac{6 x}{x^{3} - 8} + \frac{1}{x - 2}$
215347	Write with Rational (Fractional) Exponents	cube root of 5^5* square root of 5	$\sqrt[3]{5^{5}} \cdot \sqrt{5}$
215348	Simplify	((x^3+5x)/(x-2))÷((x^2+5)/(x^2-4))	$\frac{x^{3} + 5 x}{x - 2} \div \frac{x^{2} + 5}{x^{2} - 4}$
215349	Solve for q	-23=5/4q-13	$- 23 = \frac{5}{4} q - 13$
215350	Simplify	fourth root of 81x^12* square root of 144x^8	$\sqrt[4]{81 x^{12}} \cdot \sqrt{144 x^{8}}$
215351	Solve the System of Equations	x+y=4 and -9x+7y=-84	$x + y = 4$ and $- 9 x + 7 y = - 84$
215352	Solve by Substitution	4y-x=5+2y 3x+7y=24	$4 y - x = 5 + 2 y$ $3 x + 7 y = 24$
215353	Graph	f(x)=-1/a(3x+2)(x-3)	$f (x) = - \frac{1}{a} (3 x + 2) (x - 3)$
215354	Evaluate	(h^2+9h-1)(-4h+3)	$(h^{2} + 9 h - 1) (- 4 h + 3)$
215355	Evaluate	3/4*16/9-(7/10)÷(7/20)	$\frac{3}{4} \cdot \frac{16}{9} - \frac{7}{10} \div \frac{7}{20}$
215356	Find All Complex Solutions	csc(x)^2-csc(x)-2=0	$\csc^{2} (x) - \csc (x) - 2 = 0$
215357	Simplify	(6+zi)(5+2i)-(6+zi)(1+2i)	$(6 + z i) (5 + 2 i) - (6 + z i) (1 + 2 i)$
215358	Graph	8x+4y=12 y=-2x+3	$8 x + 4 y = 12$ $y = - 2 x + 3$
215359	Solve for p	-4(-1+5p)=-12	$- 4 (- 1 + 5 p) = - 12$
215360	Solve by Substitution	y=-3/2x 3x+2y=-4	$y = - \frac{3}{2} x$ $3 x + 2 y = - 4$
215361	Simplify	(2x-4)/(x^2-2)+(x+7)/(x^2-2)	$\frac{2 x - 4}{x^{2} - 2} + \frac{x + 7}{x^{2} - 2}$
215362	Simplify	(x+8)/(x+2)+(x-3)/4	$\frac{x + 8}{x + 2} + \frac{x - 3}{4}$
215363	Solve for x	3/(6x)-9/12=11/(4x)	$\frac{3}{6 x} - \frac{9}{12} = \frac{11}{4 x}$
215364	Simplify	( cube root of 8)÷( square root of 6)	$\sqrt[3]{8} \div \sqrt{6}$
215365	Solve for c	2/(c^2-4c)=1/(3c)+1/3	$\frac{2}{c^{2} - 4 c} = \frac{1}{3 c} + \frac{1}{3}$
215366	Simplify	(x+3x^2y)/(3xy+1)	$\frac{x + 3 x^{2} y}{3 x y + 1}$
215367	Simplify	2 square root of 80- square root of 45-(4 square root of 30)÷2 square root of 6	$2 \sqrt{80} - \sqrt{45} - 4 \sqrt{30} \div 2 \sqrt{6}$
215368	Multiply	x^2(x-10)	$x^{2} (x - 10)$
215369	Simplify	5(4y+2x-8)+7-6y	$5 (4 y + 2 x - 8) + 7 - 6 y$
215370	Find the Second Term	a_n=2(4)^n	$a_{n} = 2 {(4)}^{n}$
215371	Simplify	12x^(-1/2)+7x^(1/2)+x^(3/2)	$12 x^{- \frac{1}{2}} + 7 x^{\frac{1}{2}} + x^{\frac{3}{2}}$
215372	Graph	{x\|x<4} intersect {x\|x>-2}	${x \| x < 4} \cap {x \| x > - 2}$
215373	Graph	P(x)=(x+3)(x+2)(x+1)	$P (x) = (x + 3) (x + 2) (x + 1)$
215374	Simplify	(2-x)/-2(3x)/(x^3-8x^2+12x)(x^2-5x-6)/(-x-1)	$\frac{2 - x}{- 2} \cdot \frac{3 x}{x^{3} - 8 x^{2} + 12 x} \cdot \frac{x^{2} - 5 x - 6}{- x - 1}$
215375	Subtract	-3x^2+5x-8 and -10x^2-x-3	$- 3 x^{2} + 5 x - 8$ and $- 10 x^{2} - x - 3$
215376	Simplify	1/(x^2-5x)+3/(x^2+2x-35)	$\frac{1}{x^{2} - 5 x} + \frac{3}{x^{2} + 2 x - 35}$
215377	Convert to a Decimal	7rev per s	$7$ revolutions per second
215378	Evaluate	10+2+4÷4(4-3)	$10 + 2 + 4 \div 4 (4 - 3)$
215379	Solve the Inequality for x	y>x+2	$y > x + 2$
215380	Solve for k	2k=-3+7(k+4)	$2 k = - 3 + 7 (k + 4)$
215381	Solve for x	(x^2-1)/(x^2+1)<=0	$\frac{x^{2} - 1}{x^{2} + 1} \leq 0$
215382	Solve for x	9x+3(2x+4)=5(x+3)	$9 x + 3 (2 x + 4) = 5 (x + 3)$
215383	Multiply	(5x-10)/(x^2-36)*(4x+24)/(x^2+5x-14)	$\frac{5 x - 10}{x^{2} - 36} \cdot \frac{4 x + 24}{x^{2} + 5 x - 14}$
215384	Find the Excluded Values	(8ab^2x)/(4a^2b-8ab^2)	$\frac{8 a b^{2} x}{4 a^{2} b - 8 a b^{2}}$
215385	Simplify	4a^0+4a^-1	$4 a^{0} + 4 a^{- 1}$
215386	Find the Roots (Zeros)	f(x)=-x(3x-2)^2(x+9)^5	$f (x) = - x {(3 x - 2)}^{2} {(x + 9)}^{5}$
215387	Factor	8x^2+24x^3-32x^5	$8 x^{2} + 24 x^{3} - 32 x^{5}$
215388	Solve for x	f(2x-1)+f(x-2)=50	$f (2 x - 1) + f (x - 2) = 50$
215389	Factor	p(x)=x^5-4x^3-2x^2-4x	$p (x) = x^{5} - 4 x^{3} - 2 x^{2} - 4 x$
215390	Simplify	i(1+i)	$i (1 + i)$
215391	Evaluate	8 1/4÷d=2/11	$8 \frac{1}{4} \div d = \frac{2}{11}$
215392	Find the Exact Value	pi+pi/2	$π + \frac{π}{2}$
215393	Solve for q	-2q-3=-2(2q+1)	$- 2 q - 3 = - 2 (2 q + 1)$
215394	Simplify	(-x)/(x^2)	$\frac{- x}{x^{2}}$
215395	Solve for F	C=5/9*(F-32)	$C = \frac{5}{9} \times (F - 32)$
215396	Simplify	(x^3-2x^2+4x+6)-(-4x+x^2-3)	$(x^{3} - 2 x^{2} + 4 x + 6) - (- 4 x + x^{2} - 3)$
215397	Solve for x	25^(1/2+2x) = square root of 5	$25^{\frac{1}{2} + 2 x} = \sqrt{5}$
215398	Solve for x	2/x+1/5=-3/(5x)	$\frac{2}{x} + \frac{1}{5} = \frac{- 3}{5 x}$
215399	Solve in Terms of the Arbitrary Variable a	2x+3y=3 ax+by=6	$2 x + 3 y = 3$ $a x + b y = 6$
215400	Solve for u	natural log of 4u+3=5	$\ln (4 u) + 3 = 5$