Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
203501	Convert to Radical Form	1/((7x)^(-1/3))	$\frac{1}{{(7 x)}^{- \frac{1}{3}}}$
203502	Simplify the Radical Expression	sixth root of (x^6)/(y^12)	$\sqrt[6]{\frac{x^{6}}{y^{12}}}$
203503	Simplify	(xy^6)/(y^4x)	$\frac{x y^{6}}{y^{4} x}$
203504	Solve for x	-0.2(x-3)-x-0.9=0.4x+0.5	$- 0.2 (x - 3) - x - 0.9 = 0.4 x + 0.5$
203505	Factor	12au-16yv^2+8av^2-24yu	$12 a u - 16 y v^{2} + 8 a v^{2} - 24 y u$
203506	Solve the Absolute Value Inequality for x	\|4x-4(x+1)\|=4	$\| 4 x - 4 (x + 1) \| = 4$
203507	Simplify	(2^3c^4t^2)/(2^2c^4t^2)	$\frac{2^{3} c^{4} t^{2}}{2^{2} c^{4} t^{2}}$
203508	Evaluate the Function	F(x)=x^4-7x^2+2x-6 at x=1	$F (x) = x^{4} - 7 x^{2} + 2 x - 6$ at $x = 1$
203509	Simplify	(4z)^-3*(2z)^5	${(4 z)}^{- 3} \cdot {(2 z)}^{5}$
203510	Evaluate	(2^0+3^-2)/(3^-1)	$\frac{2^{0} + 3^{- 2}}{3^{- 1}}$
203511	Solve for y	(y+5)/2-(y-2)/4=(y+7)/3+1	$\frac{y + 5}{2} - \frac{y - 2}{4} = \frac{y + 7}{3} + 1$
203512	Graph	y>=3x-5 3x-y>-4	$y \geq 3 x - 5$ $3 x - y > - 4$
203513	Simplify	(4 square root of 6)/(4 square root of 27)	$\frac{4 \sqrt{6}}{4 \sqrt{27}}$
203514	Evaluate	plus or minus square root of 1/64	$\pm \sqrt{\frac{1}{64}}$
203515	Rationalize the Denominator	cube root of 27/8	$\sqrt[3]{\frac{27}{8}}$
203516	Simplify	((52^5)/(4^5))^(1/6)	${(\frac{52^{5}}{4^{5}})}^{\frac{1}{6}}$
203517	Solve for x	(3-6x)/3=7x-1	$\frac{3 - 6 x}{3} = 7 x - 1$
203518	Simplify	12+(-4)-2/5j-4/5j+5	$12 + (- 4) - \frac{2}{5} j - \frac{4}{5} j + 5$
203519	Solve for z	7.225/z=85	$\frac{7.225}{z} = 85$
203520	Graph	y=5/2x-1 y=7/2x-3	$y = \frac{5}{2} x - 1$ $y = \frac{7}{2} x - 3$
203521	Solve for t	S(t)=2t^(3/2)-9t+6	$S (t) = 2 t^{\frac{3}{2}} - 9 t + 6$
203522	Write in Slope-Intercept Form	5x+6y<=0	$5 x + 6 y \leq 0$
203523	Solve the Rational Equation for x	square root of 6x-2+1=-3	$\sqrt{6 x - 2} + 1 = - 3$
203524	Simplify	5/(-5-3 square root of 3)	$\frac{5}{- 5 - 3 \sqrt{3}}$
203525	Solve for x	x-x^2+20=0	$x - x^{2} + 20 = 0$
203526	Solve for r	9/4=(r-10)/r	$\frac{9}{4} = \frac{r - 10}{r}$
203527	Evaluate	log base 2 of 2^4- log base 2 of 2^10	$\log_{2} (2^{4}) - \log_{2} (2^{10})$
203528	Solve the Inequality for x	3.4>x+2/3	$3.4 > x + \frac{2}{3}$
203529	Simplify	((y-3)/(4(y-7)))÷((y-3)/20)	$\frac{y - 3}{4 (y - 7)} \div \frac{y - 3}{20}$
203530	Solve for x	square root of 5x+16-x=2	$\sqrt{5 x + 16 - x} = 2$
203531	Graph	y=2-3cos(pi/3(x-1))	$y = 2 - 3 \cos (\frac{π}{3} (x - 1))$
203532	Simplify the Radical Expression	square root of -8* square root of 24	$\sqrt{- 8} \cdot \sqrt{24}$
203533	Simplify	square root of x(5 square root of x-2 square root of x)	$\sqrt{x} (5 \sqrt{x} - 2 \sqrt{x})$
203534	Solve for x	1/3(12x-12)=10+2x	$\frac{1}{3} (12 x - 12) = 10 + 2 x$
203535	Simplify	(2^-1m^2n)^-3*((m^0n^-4)/(4m^-1n))	${(2^{- 1} m^{2} n)}^{- 3} \cdot (\frac{m^{0} n^{- 4}}{4 m^{- 1} n})$
203536	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-10+4x-x^4+7x^3	$f (x) = - 10 + 4 x - x^{4} + 7 x^{3}$
203537	Solve for w	(w)(3w+5)=0	$(w) (3 w + 5) = 0$
203538	Solve for p₂	p_1v_1=p_2v_2	$p_{1} v_{1} = p_{2} v_{2}$
203539	Simplify	eighth root of 1/(w^3*w^-1)	$\sqrt[8]{\frac{1}{w^{3} \cdot w^{- 1}}}$
203540	Solve for x	(1+x)(1-x+x^2-x^3+x^4)=1+a^5	$(1 + x) (1 - x + x^{2} - x^{3} + x^{4}) = 1 + a^{5}$
203541	Simplify	((25x^4)1/2)/(15x^2)	$\frac{(25 x^{4}) \frac{1}{2}}{15 x^{2}}$
203542	Graph	5x-6y<2y-x+8	$5 x - 6 y < 2 y - x + 8$
203543	Solve for x	1-cos(x)^2+cos(x)+1=0	$1 - \cos^{2} (x) + \cos (x) + 1 = 0$
203544	Simplify	square root of (x^2+6)^16	$\sqrt{{(x^{2} + 6)}^{16}}$
203545	Find the Degree, Leading Term, and Leading Coefficient	-1/9x^2-x^5-7x+3x^4+1	$- \frac{1}{9} x^{2} - x^{5} - 7 x + 3 x^{4} + 1$
203546	Solve for w	1.5(w+3)=0.6w	$1.5 (w + 3) = 0.6 w$
203547	Convert to Rectangular	(4+4 square root of 3i)^6	${(4 + 4 \sqrt{3} i)}^{6}$
203548	Simplify	(x^2-xy-x+y)/(x^2+xy-x-y)	$\frac{x^{2} - x y - x + y}{x^{2} + x y - x - y}$
203549	Find the End Behavior	f(x)=-544x^2-448-832x-128x^3+4x^5+4x^4	$f (x) = - 544 x^{2} - 448 - 832 x - 128 x^{3} + 4 x^{5} + 4 x^{4}$
203550	Factor	y=2x^2+x-3	$y = 2 x^{2} + x - 3$
203551	Find the Degree, Leading Term, and Leading Coefficient	1-7x^2-1/7x^4	$1 - 7 x^{2} - \frac{1}{7} x^{4}$
203552	Solve for y	Mg((3L)/2-y)=mgy	$M g (\frac{3 L}{2} - y) = mg y$
203553	Simplify	((x^4)/(x^3))^(5/2)	${(\frac{x^{4}}{x^{3}})}^{\frac{5}{2}}$
203554	Solve for x	2x+1 1/2=3 1/2	$2 x + 1 \frac{1}{2} = 3 \frac{1}{2}$
203555	Simplify	((16c^6c^-2)/((2c^2)^3))^-1	${(\frac{16 c^{6} c^{- 2}}{{(2 c^{2})}^{3}})}^{- 1}$
203556	Simplify	-2r-8r+3-5+10r	$- 2 r - 8 r + 3 - 5 + 10 r$
203557	Find the Holes in the Graph	(x^2-4x-5)/(4x+4)	$\frac{x^{2} - 4 x - 5}{4 x + 4}$
203558	Evaluate	(1/(625^(-3/4)))	$(\frac{1}{625^{- \frac{3}{4}}})$
203559	Simplify	2y(6x-4x^2y)+13x^2y^2-6	$2 y (6 x - 4 x^{2} y) + 13 x^{2} y^{2} - 6$
203560	Find the Inverse	y=e^(8-x)	$y = e^{8 - x}$
203561	Divide	(9x^5+9x^4+45x^3)/(9x^2)	$\frac{9 x^{5} + 9 x^{4} + 45 x^{3}}{9 x^{2}}$
203562	Write as a Single Logarithm	3* log base 4 of 8-5* log base 4 of 2	$3 \cdot \log_{4} (8) - 5 \cdot \log_{4} (2)$
203563	Solve for x	3^(x-2)(1/9)^(1+x)=9	$3^{x - 2} {(\frac{1}{9})}^{1 + x} = 9$
203564	Solve the System of Equations	y=x^2-7x-6 y=8-2x	$y = x^{2} - 7 x - 6$ $y = 8 - 2 x$
203565	Simplify	4^0*5^-2	$4^{0} \cdot 5^{- 2}$
203566	Multiply	square root of 20x^2* square root of 20x	$\sqrt{20 x^{2}} \cdot \sqrt{20 x}$
203567	Evaluate	(10^7)/(25^3)*5/32	$\frac{10^{7}}{25^{3}} \cdot \frac{5}{32}$
203568	Subtract	3/(2x+6)-(x-6)/(2x^2+6x)	$\frac{3}{2 x + 6} - \frac{x - 6}{2 x^{2} + 6 x}$
203569	Solve the Rational Equation for x	square root of 3x=12	$\sqrt{3 x} = 12$
203570	Simplify	(2x^2)(x^2)^6(3x^2)^3	$(2 x^{2}) {(x^{2})}^{6} {(3 x^{2})}^{3}$
203571	Solve for m	3/4m>-12	$\frac{3}{4} m > - 12$
203572	Solve for z	(7z)/3-2=3z-9	$\frac{7 z}{3} - 2 = 3 z - 9$
203573	Simplify	11/(10x)*(5x)/22	$\frac{11}{10 x} \cdot \frac{5 x}{22}$
203574	Simplify	2x*1/(14x)	$2 x \cdot \frac{1}{14 x}$
203575	Evaluate	(2h^3j^-3k^4)/(3jk)	$\frac{2 h^{3} j^{- 3} k^{4}}{3 j k}$
203576	Solve for x	log base x of 3x-2=2	$\log_{x} (3 x - 2) = 2$
203577	Simplify	(2x-3)/(4x-7)+(2x-3)/(4x-7)	$\frac{2 x - 3}{4 x - 7} + \frac{2 x - 3}{4 x - 7}$
203578	Solve for j	0.1j=2(0.3j+0.5)	$0.1 j = 2 (0.3 j + 0.5)$
203579	Solve for x	(4x)/5=(x-2)/7	$\frac{4 x}{5} = \frac{x - 2}{7}$
203580	Simplify	cube root of 4x^2 cube root of 12x^3 cube root of 36x^4	$\sqrt[3]{4 x^{2}} \sqrt[3]{12 x^{3}} \sqrt[3]{36 x^{4}}$
203581	Evaluate	6*2^-2	$6 \cdot 2^{- 2}$
203582	Simplify the Radical Expression	( fourth root of 7)^4	${(\sqrt[4]{7})}^{4}$
203583	Simplify	(4^5*3^5)^(-1/5)	${(4^{5} \cdot 3^{5})}^{- \frac{1}{5}}$
203584	Solve for c	2=10c-4(2c-9)	$2 = 10 c - 4 (2 c - 9)$
203585	Solve for n	-11-2 1/4n=-7/8	$- 11 - 2 \frac{1}{4} n = - \frac{7}{8}$
203586	Simplify	1/210x(7x^3+5x)-1/23x(4x^3+2x)	$\frac{1}{2} \cdot 10 x (7 x^{3} + 5 x) - \frac{1}{2} \cdot 3 x (4 x^{3} + 2 x)$
203587	Evaluate	(3^24)÷18+306-1	$3^{2} \cdot 4 \div 18 + 30 \cdot 6 - 1$
203588	Solve for x	3^(4x-5)<8	$3^{4 x - 5} < 8$
203589	Solve for u	-1-3u+11u=-14+9u	$- 1 - 3 u + 11 u = - 14 + 9 u$
203590	Solve for x	2(8^x)=128	$2 (8^{x}) = 128$
203591	Simplify	(x^2-4)/(1-6x)	$\frac{x^{2} - 4}{1 - 6 x}$
203592	Solve for c	-3.2c=0.6-2.8c	$- 3.2 c = 0.6 - 2.8 c$
203593	Solve for x	f(x)=0	$f (x) = 0$
203594	Simplify	((99x)/100)(10/33)	$(\frac{99 x}{100}) (\frac{10}{33})$
203595	Simplify	-7+12-11x+8x	$- 7 + 12 - 11 x + 8 x$
203596	Simplify	(1/(y^-1*y^2))^(3/4)	${(\frac{1}{y^{- 1} \cdot y^{2}})}^{\frac{3}{4}}$
203597	Simplify	(-7m^6n^4)^2-(4m^3n^2)^4	${(- 7 m^{6} n^{4})}^{2} - {(4 m^{3} n^{2})}^{4}$
203598	Evaluate	2/3(y+2)-5/6(y-1)=5/4(y-3)-4	$\frac{2}{3} (y + 2) - \frac{5}{6} (y - 1) = \frac{5}{4} (y - 3) - 4$
203599	Graph	-4<=x-5<-1	$- 4 \leq x - 5 < - 1$
203600	Solve for x	8(1-x)-2(x+1)=3(2-2x)	$8 (1 - x) - 2 (x + 1) = 3 (2 - 2 x)$