Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
38201	Write in Exponential Form	( square root of a square root of b)/( ninth root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[9]{a b}}$
38202	Simplify	((4xy^2)/(5x^3))^0	${(\frac{4 x y^{2}}{5 x^{3}})}^{0}$
38203	Evaluate Using the Given Value	(4x+4(3+a)^2)/(y-1) para x=-2 , y=3 , a=-4	$\frac{4 x + 4 {(3 + a)}^{2}}{y - 1}$ para $x = - 2$ , $y = 3$ , $a = - 4$
38204	Simplify	( square root of 10-3 square root of 6)/( square root of 2)	$\frac{\sqrt{10} - 3 \sqrt{6}}{\sqrt{2}}$
38205	Solve for x	(\|x\|)/x=1	$\frac{\| x \|}{x} = 1$
38206	Simplify the Radical Expression	2x sixth root of x^8	$2 x \sqrt[6]{x^{8}}$
38207	Write in Exponential Form	2 square root of a+3 square root of b	$2 \sqrt{a + 3 \sqrt{b}}$
38208	Simplify	((2^2)/x)^-1	${(\frac{2^{2}}{x})}^{- 1}$
38209	Find the Slope	(6,9) and (11,2)	$(6, 9)$ and $(11, 2)$
38210	Factor	k^2+(2k+1)	$k^{2} + (2 k + 1)$
38211	Multiply	-10(-7x^2+5x)	$- 10 (- 7 x^{2} + 5 x)$
38212	Simplify the Radical Expression	3b^(1/2)*b^(3/2)	$3 b^{\frac{1}{2}} \cdot b^{\frac{3}{2}}$
38213	Solve for x	5-9+3x=-10+6+3x	$5 - 9 + 3 x = - 10 + 6 + 3 x$
38214	Write in Standard Form	x^4y^2+4x^3y^5+10x^2	$x^{4} y^{2} + 4 x^{3} y^{5} + 10 x^{2}$
38215	Simplify	((5^2x^3y^-3)/(125xy))^-1	${(\frac{5^{2} x^{3} y^{- 3}}{125 x y})}^{- 1}$
38216	Solve the Function Operation	g(n)=4n+4 f(n)=3n^3-4 Find g(f(n))	$g (n) = 4 n + 4$ $f (n) = 3 n^{3} - 4$ Find $g (f (n))$
38217	Simplify	3-(2m^2+3)+(m^2-2m+3)	$3 - (2 m^{2} + 3) + (m^{2} - 2 m + 3)$
38218	Determine if Dependent, Independent, or Inconsistent	y=2x+3 x+y=-9	$y = 2 x + 3$ $x + y = - 9$
38219	Find the Derivative - d/dx	(1/(x^2))	$(\frac{1}{x^{2}})$
38220	Solve for k	1/k=(7.310^8)(2.010^-5)+1/(1.0010^-4)	$\frac{1}{k} = (7.3 \times 10^{8}) \times (2 \times 10^{- 5}) + \frac{1}{1 \times 10^{- 4}}$
38221	Divide	(27/32)÷(-9/4)	$\frac{27}{32} \div (- \frac{9}{4})$
38222	Evaluate	(y^(-1/2))^4	${(y^{- \frac{1}{2}})}^{4}$
38223	Find the Roots (Zeros)	x(5x-2)(x^2+1)	$x (5 x - 2) (x^{2} + 1)$
38224	Rationalize the Numerator	(3 square root of 7)/14	$\frac{3 \sqrt{7}}{14}$
38225	Multiply	(x+3)(x-3)(2x+5)	$(x + 3) (x - 3) (2 x + 5)$
38226	Evaluate the Limit	limit as h approaches 0 of ( square root of (x+h)^3+2- square root of x^3+2)/h	$lim_{h \to 0} \frac{\sqrt{{(x + h)}^{3} + 2} - \sqrt{x^{3} + 2}}{h}$
38227	Find the Derivative - d/dx	pi/2x	$\frac{π}{2} x$
38228	Simplify	5/8+(3/4)÷(-2/3)-5/6	$\frac{5}{8} + \frac{3}{4} \div \frac{- 2}{3} - \frac{5}{6}$
38229	Subtract	5x^2+6x+12-(2x^2+x+3)	$5 x^{2} + 6 x + 12 - (2 x^{2} + x + 3)$
38230	Solve for x	1/2(8x+3)=4x+3/2	$\frac{1}{2} (8 x + 3) = 4 x + \frac{3}{2}$
38231	Simplify	7x+1+7-4x+4y^2+2x-4y^2	$7 x + 1 + 7 - 4 x + 4 y^{2} + 2 x - 4 y^{2}$
38232	Multiply	5*3/4	$5 \times \frac{3}{4}$
38233	Simplify	3* log of 4	$3 \cdot \log (4)$
38234	Graph	f(x)=x^5-6x^4+8x^3+6x^2-9x	$f (x) = x^{5} - 6 x^{4} + 8 x^{3} + 6 x^{2} - 9 x$
38235	Solve for x	1/x-1/(x^2)=0	$\frac{1}{x} - \frac{1}{x^{2}} = 0$
38236	Solve Using an Augmented Matrix	4w-5x+7z=-11 -w+8x+3y=6 15x-2y+10z=9	$4 w - 5 x + 7 z = - 11$ $- w + 8 x + 3 y = 6$ $15 x - 2 y + 10 z = 9$
38237	Simplify	square root of (96d^4e^2f^8)/(75de^6)	$\sqrt{\frac{96 d^{4} e^{2} f^{8}}{75 d e^{6}}}$
38238	Find the Derivative - d/dx	2^(5x-3x^2)	$2^{5 x - 3 x^{2}}$
38239	Find the GCF	15a^2b-30ab	$15 a^{2} b - 30 a b$
38240	Solve the Rational Equation for x	1/(x-4)-5/(x+2)=6/(x^2-2x-8)	$\frac{1}{x - 4} - \frac{5}{x + 2} = \frac{6}{x^{2} - 2 x - 8}$
38241	Solve for x	x-4 2/3=1/3	$x - 4 \frac{2}{3} = \frac{1}{3}$
38242	Solve for d	1/2d=2/3d-8	$\frac{1}{2} d = \frac{2}{3} d - 8$
38243	Evaluate	-4(0)+5(3/5)-14	$- 4 (0) + 5 (\frac{3}{5}) - 14$
38244	Find the Product	-2xa(-4xb-2x*3+5x)	$- 2 x a (- 4 x b - 2 x \cdot 3 + 5 x)$
38245	Solve for n	(n+4)/8=n/4	$\frac{n + 4}{8} = \frac{n}{4}$
38246	Simplify	(2x^-2y^2)/( fourth root of 81x^4y^3)	$\frac{2 x^{- 2} y^{2}}{\sqrt[4]{81 x^{4} y^{3}}}$
38247	Find the Domain and Range	\|x^2-4\|	$\| x^{2} - 4 \|$
38248	Factor	2x(x^2-4)	$2 x (x^{2} - 4)$
38249	Evaluate	-2/(4+(-7)^2)	$- \frac{2}{4 + {(- 7)}^{2}}$
38250	Simplify	( cube root of 3x^2b)÷( cube root of 25xy^2)	$\sqrt[3]{3 x^{2} b} \div \sqrt[3]{25 x y^{2}}$
38251	Integrate Using u-Substitution	integral of (4x)/(2x^2+6) with respect to x	$\int \frac{4 x}{2 x^{2} + 6} d x$
38252	Find the Exact Value	-2^0	$- 2^{0}$
38253	Simplify	-4 3/8v+3/8v-6v	$- 4 \frac{3}{8} v + \frac{3}{8} v - 6 v$
38254	Solve for u	6u^2=18u	$6 u^{2} = 18 u$
38255	Simplify	(2x+14)/(x^2-25)*(8x+40)/(6x+42)	$\frac{2 x + 14}{x^{2} - 25} \cdot \frac{8 x + 40}{6 x + 42}$
38256	Solve for x	a=(dx^2)/v	$a = \frac{d x^{2}}{v}$
38257	Solve for x	(12x)/4-9(2+x)+18=36	$\frac{12 x}{4} - 9 (2 + x) + 18 = 36$
38258	Simplify	4 square root of 10n^2*-3 square root of 8n	$4 \sqrt{10 n^{2}} \cdot - 3 \sqrt{8 n}$
38259	Find Amplitude, Period, and Phase Shift	y=8/9cos((pix)/2)	$y = \frac{8}{9} \cos (\frac{π x}{2})$
38260	Solve for x	4(x+1)^4=2500	$4 {(x + 1)}^{4} = 2500$
38261	Simplify	(3 square root of 2xy)^3	${(3 \sqrt{2 x y})}^{3}$
38262	Write in Standard Form	x=13/9y-1/2	$x = \frac{13}{9} y - \frac{1}{2}$
38263	Simplify	(2x^3yz^2)^-2	${(2 x^{3} y z^{2})}^{- 2}$
38264	Evaluate	(-2a+5-b)*(-5)	$(- 2 a + 5 - b) \cdot (- 5)$
38265	Solve the System of Inequalities	-(3x)/4<3 and 4x+6<-3	$- \frac{3 x}{4} < 3$ and $4 x + 6 < - 3$
38266	Add	(5x^2-x+5)+(x^2+x-5)	$(5 x^{2} - x + 5) + (x^{2} + x - 5)$
38267	Identify the Zeros and Their Multiplicities	f(x)=x^4+4x^3-9x^2-37x-24	$f (x) = x^{4} + 4 x^{3} - 9 x^{2} - 37 x - 24$
38268	Find the Domain and Range	f(x)=\|4-x^2\|	$f (x) = \| 4 - x^{2} \|$
38269	Graph	(x-3y+2)(x+y-3)<0	$(x - 3 y + 2) (x + y - 3) < 0$
38270	Find the Derivative - d/dx	( square root of x+1-2)/(x-3)	$\frac{\sqrt{x + 1} - 2}{x - 3}$
38271	Simplify the Radical Expression	- square root of 1+ square root of -64- square root of 144+ square root of -9	$- \sqrt{1} + \sqrt{- 64} - \sqrt{144} + \sqrt{- 9}$
38272	Find the Domain and Range	f(x)=arcsin(cos(x))	$f (x) = \arcsin (\cos (x))$
38273	Solve for x	3/2(x+4/3)=-11/2	$\frac{3}{2} (x + \frac{4}{3}) = - \frac{11}{2}$
38274	Simplify	( square root of 2 square root of 10)/( square root of 5)	$\frac{\sqrt{2} \sqrt{10}}{\sqrt{5}}$
38275	Simplify	x/(x+4)+(6x+5)/(4+x)	$\frac{x}{x + 4} + \frac{6 x + 5}{4 + x}$
38276	Simplify	Simplify (tan(theta))/(sec(theta))	Simplify $\frac{\tan (θ)}{\sec (θ)}$
38277	Evaluate	(1/2+2)/(1/2)	$\frac{\frac{1}{2} + 2}{\frac{1}{2}}$
38278	Simplify	10-3\|9-3(3-1)\|	$10 - 3 \| 9 - 3 (3 - 1) \|$
38279	Solve the Inequality for c	c/10>9	$\frac{c}{10} > 9$
38280	Solve the System of Inequalities	4<f+6 and f+6<5	$4 < f + 6$ and $f + 6 < 5$
38281	Convert to a Decimal	-3.5rad	$- 3.5$ radians
38282	Solve for n	3+8n-n=-18	$3 + 8 n - n = - 18$
38283	Simplify the Radical Expression	square root of 75x^2y	$\sqrt{75 x^{2}} y$
38284	Solve for m	cube root of m=4	$\sqrt[3]{m} = 4$
38285	Simplify	(24g^3)/(5f^2)*(10(gf)^3)/(8g^5f)	$\frac{24 g^{3}}{5 f^{2}} \cdot \frac{10 {(g f)}^{3}}{8 g^{5} f}$
38286	Multiply	2x(x^2+x-5)	$2 x (x^{2} + x - 5)$
38287	Solve the Function Operation	(-2x^2-8x+3)+(-9x^2+x+3)	$(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)$
38288	Find the Antiderivative	6 cube root of x-2/x+3e^x	$6 \sqrt[3]{x} - \frac{2}{x} + 3 e^{x}$
38289	Solve for m	32=2^(2m-9)	$32 = 2^{2 m - 9}$
38290	Simplify	(6x^2y^3)/(2x^2y^2)*(10x^3y^4)/(18y^2)	$\frac{6 x^{2} y^{3}}{2 x^{2} y^{2}} \cdot \frac{10 x^{3} y^{4}}{18 y^{2}}$
38291	Write in Standard Form	y=(x-5)(x+5)(2x-1)	$y = (x - 5) (x + 5) (2 x - 1)$
38292	Simplify	(-2a^-2b^-1)^2	${(- 2 a^{- 2} b^{- 1})}^{2}$
38293	Evaluate	(x^-7)/(x^-6*x^-2)	$\frac{x^{- 7}}{x^{- 6} \cdot x^{- 2}}$
38294	Simplify	( square root of 2)/(2/(( square root of 2)/2))	$\frac{\sqrt{2}}{\frac{2}{\frac{\sqrt{2}}{2}}}$
38295	Simplify the Radical Expression	(-9 square root of -42)(5 square root of -6)	$(- 9 \sqrt{- 42}) (5 \sqrt{- 6})$
38296	Simplify	7/a+14/(a^2)	$\frac{7}{a} + \frac{14}{a^{2}}$
38297	Simplify	(x^2y-3x^2+y)+(3y-2x^2y)	$(x^{2} y - 3 x^{2} + y) + (3 y - 2 x^{2} y)$
38298	Multiply	(-xy^3)(4x^2y)	$(- x y^{3}) (4 x^{2} y)$
38299	Simplify	(2 square root of 8-6)( square root of 8-4)	$(2 \sqrt{8} - 6) (\sqrt{8} - 4)$
38300	Simplify	12 cube root of 16xy-5 cube root of 8xy+12 cube root of 2xy	$12 \sqrt[3]{16 x y} - 5 \sqrt[3]{8 x y} + 12 \sqrt[3]{2 x y}$