Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208301	Simplify the Radical Expression	( cube root of 4)/( square root of 2)	$\frac{\sqrt[3]{4}}{\sqrt{2}}$
208302	Combine Like Terms	12y+y-5y	$12 y + y - 5 y$
208303	Simplify the Radical Expression	(125)(2/3)	$(125) (\frac{2}{3})$
208304	Expand the Logarithmic Expression	log base 4 of (5x^(3y))/(2xy^3)	$\log_{4} (\frac{5 x^{3 y}}{2 x y^{3}})$
208305	Find the Domain and Range	f(x)=- natural log of x+5	$f (x) = - \ln (x + 5)$
208306	Factor by Grouping	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
208307	Graph	3x+5y<10 x-y<=-1	$3 x + 5 y < 10$ $x - y \leq - 1$
208308	Evaluate	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
208309	Evaluate	i^30i^20i^29*i^6	$i^{30} \cdot i^{20} \cdot i^{29} \cdot i^{6}$
208310	Solve for b	4=8b+10c	$4 = 8 b + 10 c$
208311	Solve the Absolute Value Inequality for x	8=\|5-x\|	$8 = \| 5 - x \|$
208312	Solve for j	18(5j-1)+29=47	$18 (5 j - 1) + 29 = 47$
208313	Simplify	6/( square root of 2x^3)	$\frac{6}{\sqrt{2 x^{3}}}$
208314	Write the Fraction in Simplest Form	(10n)/(2(n^-3)^4)	$\frac{10 n}{2 {(n^{- 3})}^{4}}$
208315	Evaluate	(1/7)/(1/7+1)-1	$\frac{\frac{1}{7}}{\frac{1}{7} + 1} - 1$
208316	Simplify	(2(x+4))/6*3/4	$\frac{2 (x + 4)}{6} \cdot \frac{3}{4}$
208317	Graph	-4(2-x)=4x-8	$- 4 (2 - x) = 4 x - 8$
208318	Solve for x	log base 4 of x- log base 4 of x-5 = log base 4 of 3	$\log_{4} (x) - \log_{4} (x - 5) = \log_{4} (3)$
208319	Evaluate	\|4x-4(x+1)\|=4	$\| 4 x - 4 (x + 1) \| = 4$
208320	Determine if a Polynomial	-r^2+r^4 square root of 3-2r^5	$- r^{2} + r^{4} \sqrt{3} - 2 r^{5}$
208321	Write in Slope-Intercept Form	2x+y<=4	$2 x + y \leq 4$
208322	Graph Using a Table of Values	f(x)=1/8*4^(x+1)	$f (x) = \frac{1}{8} \cdot 4^{x + 1}$
208323	Find the Inverse	g(x)=-( cube root of 4x)/2	$g (x) = - \frac{\sqrt[3]{4 x}}{2}$
208324	Solve for x	(8(x+4))/6=1/3	$\frac{8 (x + 4)}{6} = \frac{1}{3}$
208325	Solve for n	square root of n/5 = square root of 3n-28	$\sqrt{\frac{n}{5}} = \sqrt{3 n - 28}$
208326	Find the Degree	y^5-10x^2y^4	$y^{5} - 10 x^{2} y^{4}$
208327	Simplify	(10a^5a^12b^-6)/(2a^17b^-3b^2)	$\frac{10 a^{5} a^{12} b^{- 6}}{2 a^{17} b^{- 3} b^{2}}$
208328	Solve for x	x^( log base 8 of 3)=3	$x^{\log_{8} (3)} = 3$
208329	Simplify the Radical Expression	(6 square root of 10)(-4 square root of 20)	$(6 \sqrt{10}) (- 4 \sqrt{20})$
208330	Solve for x	(0.50)^(9900/x)=0.30	${(0.5)}^{\frac{9900}{x}} = 0.3$
208331	Evaluate	xy^-3	$x y^{- 3}$
208332	Graph	y=1/2x-7 x+y=-4	$y = \frac{1}{2} x - 7$ $x + y = - 4$
208333	Solve the Inequality for x	(3x-2)/(x+4)<2	$\frac{3 x - 2}{x + 4} < 2$
208334	Simplify	5(x-3)^-1+4(x+3)^-1-2(x+3)^-2	$5 {(x - 3)}^{- 1} + 4 {(x + 3)}^{- 1} - 2 {(x + 3)}^{- 2}$
208335	Evaluate	1/2e^0	$\frac{1}{2} e^{0}$
208336	Solve for p	p/9=9	$\frac{p}{9} = 9$
208337	Solve for θ	tan(theta)cot(theta)=1	$\tan (θ) \cot (θ) = 1$
208338	Solve the System of Equations	3x+y-2z=-2 6x-4y+2z=2 12x-2y-2z=-2	$3 x + y - 2 z = - 2$ $6 x - 4 y + 2 z = 2$ $12 x - 2 y - 2 z = - 2$
208339	Graph	x-3y>=12 4x-3y>21	$x - 3 y \geq 12$ $4 x - 3 y > 21$
208340	Solve the System of Inequalities	y>=-2x+5 y<=-x^2-x+4	$y \geq - 2 x + 5$ $y \leq - x^{2} - x + 4$
208341	Simplify	7/(2x^3)*(6x)/5	$\frac{7}{2 x^{3}} \cdot \frac{6 x}{5}$
208342	Find the Product	4x5x^32x^5	$4 x \cdot 5 x^{3} \cdot 2 x^{5}$
208343	Write Using Positive Exponents	4r^-3*2r^2	$4 r^{- 3} \cdot 2 r^{2}$
208344	Factor	y^2-7xy+10x^2	$y^{2} - 7 x y + 10 x^{2}$
208345	Simplify	(y-1)/(y square root of y+1)	$\frac{y - 1}{y \sqrt{y + 1}}$
208346	Evaluate	cot(0 degrees )	$\cot (0 °)$
208347	Find the Exact Value	(-1/2)/(-( square root of 3)/2)	$\frac{- \frac{1}{2}}{- \frac{\sqrt{3}}{2}}$
208348	Simplify	2b square root of 3-b square root of 3+7 square root of 3	$2 b \sqrt{3} - b \sqrt{3} + 7 \sqrt{3}$
208349	Evaluate	-0.125 square root of 192	$- 0.125 \sqrt{192}$
208350	Solve for x	x+2x-6=-12+2x	$x + 2 x - 6 = - 12 + 2 x$
208351	Solve for x	(2x)/(x+8)=(2x-8)/x	$\frac{2 x}{x + 8} = \frac{2 x - 8}{x}$
208352	Write the Fraction in Simplest Form	(2(a^-1)^3)/(-10a^5)	$\frac{2 {(a^{- 1})}^{3}}{- 10 a^{5}}$
208353	Simplify	(2x)/( cube root of x)	$\frac{2 x}{\sqrt[3]{x}}$
208354	Divide	((x^2-x-6)/(x+4))÷(x^2-6x+9)	$\frac{x^{2} - x - 6}{x + 4} \div (x^{2} - 6 x + 9)$
208355	Simplify	(B(x+h)^2-Bx^2)/h	$\frac{B {(x + h)}^{2} - B x^{2}}{h}$
208356	Simplify	i^19i^23i^11*i^21	$i^{19} \cdot i^{23} \cdot i^{11} \cdot i^{21}$
208357	Solve the System of Equations	x=y-1 -x+y=-1	$x = y - 1$ $- x + y = - 1$
208358	Simplify	a^2b^3c^5*ab^7c^2	$a^{2} b^{3} c^{5} \cdot a b^{7} c^{2}$
208359	Solve for K	K=((sin(30 degrees )+sec(60 degrees ))(tan(45 degrees )+sec(45 degrees )^2))/(5cos(37 degrees ))	$K = \frac{(\sin (30 °) + \sec (60 °)) (\tan (45 °) + \sec^{2} (45 °))}{5 \cos (37 °)}$
208360	Solve for x	(21x^2+14x)=0	$(21 x^{2} + 14 x) = 0$
208361	Write in Standard Form	f(x)=4x^2-3x+5x^3-7	$f (x) = 4 x^{2} - 3 x + 5 x^{3} - 7$
208362	Graph	y=3/2x-7 x+2y=-6	$y = \frac{3}{2} x - 7$ $x + 2 y = - 6$
208363	Convert to Radical Form	3ab^(1/5)	$3 a b^{\frac{1}{5}}$
208364	Graph	x>0 or x<3	$x > 0$ or $x < 3$
208365	Simplify	((-8x^6)/(y^(1/2)z^(3/2)))^(2/3)	${(\frac{- 8 x^{6}}{y^{\frac{1}{2}} z^{\frac{3}{2}}})}^{\frac{2}{3}}$
208366	Evaluate Using the Given Value	Evaluate the expression 2xy when x=5 and y=4	Evaluate the expression $2 x y$ when $x = 5$ and $y = 4$
208367	Simplify	-2xyxy3x^2y^3	$- 2 x y \cdot x y \cdot 3 x^{2} y^{3}$
208368	Simplify the Radical Expression	(2 cube root of 2)(6 cube root of 4)	$(2 \sqrt[3]{2}) (6 \sqrt[3]{4})$
208369	Simplify the Radical Expression	fourth root of x* square root of x^3	$\sqrt[4]{x} \cdot \sqrt{x^{3}}$
208370	Simplify	(1/(1-x))^2	${(\frac{1}{1 - x})}^{2}$
208371	Solve for y	4(y-3)<=4(2y+1)	$4 (y - 3) \leq 4 (2 y + 1)$
208372	Solve for A	A=e^(0.15*1)	$A = e^{0.15 \cdot 1}$
208373	Multiply	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
208374	Solve the Inequality for x	2x^2+x-10>0	$2 x^{2} + x - 10 > 0$
208375	Simplify	i^7i^28i^25*i^19	$i^{7} \cdot i^{28} \cdot i^{25} \cdot i^{19}$
208376	Solve the Rational Equation for x	square root of x+75 = square root of x-5	$\sqrt{x + 75} = \sqrt{x} - 5$
208377	Find the Slope and y-intercept	f(x)=3(x+2)	$f (x) = 3 (x + 2)$
208378	Factor	3(m-4)-n(m-4)	$3 \cdot (m - 4) - n \cdot (m - 4)$
208379	Solve for x	8^(-2x^2-10)=(1/64)^(-10x-16)	$8^{- 2 x^{2} - 10} = {(\frac{1}{64})}^{- 10 x - 16}$
208380	Solve for x	cos(x)*csc(x)-2cos(x)=0	$\cos (x) \cdot \csc (x) - 2 \cos (x) = 0$
208381	Solve for p	(7p-1)^(1/3)+11=7	${(7 p - 1)}^{\frac{1}{3}} + 11 = 7$
208382	Simplify the Radical Expression	2/( square root of 12)	$\frac{2}{\sqrt{12}}$
208383	Simplify	(25^(1/2))/(27^(1/3))	$\frac{25^{\frac{1}{2}}}{27^{\frac{1}{3}}}$
208384	Simplify	(3x-6y)+(2x+y)	$(3 x - 6 y) + (2 x + y)$
208385	Simplify	-(56x)/(28x)	$- \frac{56 x}{28 x}$
208386	Solve for P	3x^P(4x^(P+4)+2x^(3p+2))=12x^12+6x^18	$3 x^{P} (4 x^{P + 4} + 2 x^{3 p + 2}) = 12 x^{12} + 6 x^{18}$
208387	Evaluate	(x^4)/(3 square root of x)	$\frac{x^{4}}{3 \sqrt{x}}$
208388	Solve for x	-x+ square root of 14-2x=-7	$- x + \sqrt{14 - 2 x} = - 7$
208389	Solve for T	T=(50010^281)/(6^4*5^4)	$T = \frac{500 \cdot 10^{2} \cdot 81}{6^{4} \cdot 5^{4}}$
208390	Simplify	-3 fourth root of 64*(- fourth root of 8)	$- 3 \sqrt[4]{64} \cdot (- \sqrt[4]{8})$
208391	Graph	(2x^2)^(-)*4	${(2 x^{2})}^{-} \cdot 4$
208392	Solve for n	(2n-4)/(3n^2+12n)=(n-1)/(3n^2+12n)-1/n	$\frac{2 n - 4}{3 n^{2} + 12 n} = \frac{n - 1}{3 n^{2} + 12 n} - \frac{1}{n}$
208393	Simplify	((10x^4)^2)/((5x^2)^3)	$\frac{{(10 x^{4})}^{2}}{{(5 x^{2})}^{3}}$
208394	Simplify	8i^119+i^78-3i^97+9i^44	$8 i^{119} + i^{78} - 3 i^{97} + 9 i^{44}$
208395	Describe the Transformation	F(x)=4^x-3 , g(x)=4^(0.5x)-3	$F (x) = 4^{x} - 3$ , $g (x) = 4^{0.5 x} - 3$
208396	Simplify	2 square root of 2/3+5 square root of 3/2	$2 \sqrt{\frac{2}{3}} + 5 \sqrt{\frac{3}{2}}$
208397	Simplify	-(8x)/9+(-x/9)	$- \frac{8 x}{9} + (- \frac{x}{9})$
208398	Solve for c	9c^2+14=43	$9 c^{2} + 14 = 43$
208399	Simplify	9*3^-2	$9 \cdot 3^{- 2}$
208400	Evaluate	(7x^3)^2(x^8)^(1/2)	${(7 x^{3})}^{2} {(x^{8})}^{\frac{1}{2}}$