Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205701	Evaluate	fourth root of cube root of 16	$\sqrt[4]{\sqrt[3]{16}}$
205702	Simplify	x^3y^3 cube root of 648x^3y^10	$x^{3} y^{3} \sqrt[3]{648 x^{3} y^{10}}$
205703	Simplify	( fourth root of 6)/( fifth root of 6)	$\frac{\sqrt[4]{6}}{\sqrt[5]{6}}$
205704	Simplify the Radical Expression	cube root of (4x-7)^24	$\sqrt[3]{{(4 x - 7)}^{24}}$
205705	Simplify	1/2(x+x)	$\frac{1}{2} (x + x)$
205706	Simplify the Radical Expression	(6^(1/4))^3	${(6^{\frac{1}{4}})}^{3}$
205707	Simplify	(3u^3v^4)/(4u^2v^-2)	$\frac{3 u^{3} v^{4}}{4 u^{2} v^{- 2}}$
205708	Multiply	2 square root of 50*3 square root of 8	$2 \sqrt{50} \cdot 3 \sqrt{8}$
205709	Factor by Grouping	a^8-b^4	$a^{8} - b^{4}$
205710	Find the x and y Intercepts	f(x)=-2 log base 3 of 3-x	$f (x) = - 2 \log_{3} (3 - x)$
205711	Solve the Inequality for x	x^4+x^3-6x^2<=0	$x^{4} + x^{3} - 6 x^{2} \leq 0$
205712	Solve for X	12=15-3/4X	$12 = 15 - \frac{3}{4} X$
205713	Find the Degree, Leading Term, and Leading Coefficient	m(s)=-5(s-4)(s-2)(s+1)(s+3)(s+5)	$m (s) = - 5 (s - 4) (s - 2) (s + 1) (s + 3) (s + 5)$
205714	Solve for w	p=-aw+9	$p = - a w + 9$
205715	Find the Exact Value	27^(1/3)-16^(1/4)-4^(1/2)	$27^{\frac{1}{3}} - 16^{\frac{1}{4}} - 4^{\frac{1}{2}}$
205716	Solve for y	-10-y=3x	$- 10 - y = 3 x$
205717	Solve for x	square root of 9x-3 = square root of 5x-5	$\sqrt{9 x} - 3 = \sqrt{5 x - 5}$
205718	Simplify the Radical Expression	square root of 175+8 square root of 7	$\sqrt{175} + 8 \sqrt{7}$
205719	Determine if Parallel	3x+2y=10 and 2x+3y=-3	$3 x + 2 y = 10$ and $2 x + 3 y = - 3$
205720	Subtract	2x^2-8x-6 and 9x^2-8	$2 x^{2} - 8 x - 6$ and $9 x^{2} - 8$
205721	Solve by Substitution	2x=y-10 2x+7=2y	$2 x = y - 10$ $2 x + 7 = 2 y$
205722	Find the Exact Value	(tan((2pi)/3)-tan((5pi)/6))/(1+tan((2pi)/3)tan((5pi)/6))	$\frac{\tan (\frac{2 π}{3}) - \tan (\frac{5 π}{6})}{1 + \tan (\frac{2 π}{3}) \tan (\frac{5 π}{6})}$
205723	Simplify	(x^2y^(2/7))/(yx^(3/4))	$\frac{x^{2} \cdot y^{\frac{2}{7}}}{y \cdot x^{\frac{3}{4}}}$
205724	Solve for n	4^3*4^n=4^9	$4^{3} \cdot 4^{n} = 4^{9}$
205725	Simplify	5(x^(2n-1))(2x^(3n+1))^2	$5 (x^{2 n - 1}) {(2 x^{3 n + 1})}^{2}$
205726	Simplify	(6 square root of 10)(-4 square root of 20)	$(6 \sqrt{10}) (- 4 \sqrt{20})$
205727	Simplify	square root of x^5y^5*3 square root of 5x^9y^8	$\sqrt{x^{5} y^{5}} \cdot 3 \sqrt{5 x^{9} y^{8}}$
205728	Simplify	n+19-3+6(13x-2)+3+14n	$n + 19 - 3 + 6 (13 x - 2) + 3 + 14 n$
205729	Factor	216pq-p^7q	$216 p q - p^{7} q$
205730	Simplify	(1+cot(x)^2)(1-sec(x)^2)	$(1 + \cot^{2} (x)) (1 - \sec^{2} (x))$
205731	Determine if Perpendicular	y=8 and x=-1	$y = 8$ and $x = - 1$
205732	Solve Using the Quadratic Formula	(2x+3)^2-5=20	${(2 x + 3)}^{2} - 5 = 20$
205733	Simplify	( square root of 630x^8y^3)/( square root of 10y)	$\frac{\sqrt{630 x^{8} y^{3}}}{\sqrt{10 y}}$
205734	Solve for x	x/(x^2-6x)=1	$\frac{x}{x^{2} - 6 x} = 1$
205735	Find the Roots (Zeros)	f(x) = log base 9 of 2x+1+ log base 9 of x-4	$f (x) = \log_{9} (2 x + 1) + \log_{9} (x - 4)$
205736	Multiply	4x*9x^(1/2)	$4 x \cdot 9 x^{\frac{1}{2}}$
205737	Solve for x	6x-x^2-8=0	$6 x - x^{2} - 8 = 0$
205738	Simplify	fifth root of (-2)^10(3^5)(2^3)	$\sqrt[5]{{(- 2)}^{10} (3^{5}) (2^{3})}$
205739	Solve for x	4-x-3=6-x-2	$4 - x - 3 = 6 - x - 2$
205740	Solve for x	8+5^(x-3)=133	$8 + 5^{x - 3} = 133$
205741	Find the End Behavior	f(x)=8x^5+1008x^2+1944x-288x^3-6480-32x^4	$f (x) = 8 x^{5} + 1008 x^{2} + 1944 x - 288 x^{3} - 6480 - 32 x^{4}$
205742	Simplify	(r^2s+rs^2)/(rs)	$\frac{r^{2} s + r s^{2}}{r s}$
205743	Graph	f(x)=x^3-3/400x	$f (x) = x^{3} - \frac{3}{400} x$
205744	Solve for y	10x-5xy=100	$10 x - 5 x y = 100$
205745	Simplify	(4r^3+4)+(2-4r+3r^3)	$(4 r^{3} + 4) + (2 - 4 r + 3 r^{3})$
205746	Find the Roots (Zeros)	(2y+1)^2-4y^2=5	${(2 y + 1)}^{2} - 4 y^{2} = 5$
205747	Simplify	square root of (192k^4)/64	$\sqrt{\frac{192 k^{4}}{64}}$
205748	Simplify	1/2 square root of 13+2/3 square root of 13	$\frac{1}{2} \sqrt{13} + \frac{2}{3} \sqrt{13}$
205749	Simplify	fourth root of (3x^6y^5)/(16x^-2y^13)	$\sqrt[4]{\frac{3 x^{6} y^{5}}{16 x^{- 2} y^{13}}}$
205750	Simplify	( square root of 125x^9)/( square root of x)	$\frac{\sqrt{125 x^{9}}}{\sqrt{x}}$
205751	Find the Exact Value	3csc(pi/3)+cot(pi/4)	$3 \csc (\frac{π}{3}) + \cot (\frac{π}{4})$
205752	Find the Domain of the Composition f(g(x))	f(x)=2x^2+x-3 and g(x)=x-1	$f (x) = 2 x^{2} + x - 3$ and $g (x) = x - 1$
205753	Multiply	(m^2-n)(m^2+2n^2)	$(m^{2} - n) (m^{2} + 2 n^{2})$
205754	Simplify	15^2-8(8(3+5))	$15^{2} - 8 (8 (3 + 5))$
205755	Simplify	square root of 144+25- square root of 144- square root of 25	$\sqrt{144 + 25} - \sqrt{144} - \sqrt{25}$
205756	Solve by Graphing	x+2y=6 x=4	$x + 2 y = 6$ $x = 4$
205757	Solve for x	3^x*3^4=3^9	$3^{x} \cdot 3^{4} = 3^{9}$
205758	Solve the System of Equations	15x+5y=20 y=8-3x	$15 x + 5 y = 20$ $y = 8 - 3 x$
205759	Write the Fraction in Simplest Form	((3y^5)^3)/(2y^6)	$\frac{{(3 y^{5})}^{3}}{2 y^{6}}$
205760	Simplify	64^(2/3)*64^(2/3)	$64^{\frac{2}{3}} \cdot 64^{\frac{2}{3}}$
205761	Simplify	fourth root of 3^5* cube root of 3^4	$\sqrt[4]{3^{5}} \cdot \sqrt[3]{3^{4}}$
205762	Evaluate	2!3!	$2! 3!$
205763	Evaluate	cube root of x=3	$\sqrt[3]{x} = 3$
205764	Simplify	i^5i^36i^29	$i^{5} \cdot i^{36} \cdot i^{29}$
205765	Factor	f(x)=27x^3-18x^2+3x	$f (x) = 27 x^{3} - 18 x^{2} + 3 x$
205766	Factor	U(t)=2t^4+3t^3+48t^2+75t-50	$U (t) = 2 t^{4} + 3 t^{3} + 48 t^{2} + 75 t - 50$
205767	Rationalize the Denominator	-2/(1+ square root of 6)	$\frac{- 2}{1 + \sqrt{6}}$
205768	Simplify	(k^4m^3p^2)/(k^2m^2)	$\frac{k^{4} m^{3} p^{2}}{k^{2} m^{2}}$
205769	Simplify	3x+x-2x+5x	$3 x + x - 2 x + 5 x$
205770	Simplify	(x^2+6)-(6-x^2)	$(x^{2} + 6) - (6 - x^{2})$
205771	Expand the Logarithmic Expression	log of z/( square root of y^3x^2)	$\log (\frac{z}{\sqrt{y^{3} x^{2}}})$
205772	Write Using Positive Exponents	x^5y^-2	$x^{5} y^{- 2}$
205773	Graph	x=3t and y = square root of t+6 , 0<=t<=8	$x = 3 t$ and $y = \sqrt{t} + 6$ , $0 \leq t \leq 8$
205774	Simplify the Radical Expression	( square root of 45)/( square root of 5)	$\frac{\sqrt{45}}{\sqrt{5}}$
205775	Simplify	square root of fourth root of 256z^8	$\sqrt{\sqrt[4]{256 z^{8}}}$
205776	Solve the Inequality for x	-2/3(6x-12)<1/2(8-4x)	$- \frac{2}{3} (6 x - 12) < \frac{1}{2} (8 - 4 x)$
205777	Simplify	cube root of (x^9)/27	$\sqrt[3]{\frac{x^{9}}{27}}$
205778	Find the Degree	6a^2b-2ab+5ab^2	$6 a^{2} b - 2 a b + 5 a b^{2}$
205779	Solve for p	(3p-1)/24-(2p+6)/36-1=0	$\frac{3 p - 1}{24} - \frac{2 p + 6}{36} - 1 = 0$
205780	Convert to Radical Form	2m1/4	$2 m \frac{1}{4}$
205781	Find the Holes in the Graph	(-4x+8)/(2x^2-8)	$\frac{- 4 x + 8}{2 x^{2} - 8}$
205782	Simplify	cube root of -6x^5* cube root of -18x^4	$\sqrt[3]{- 6 x^{5}} \cdot \sqrt[3]{- 18 x^{4}}$
205783	Write the Fraction in Simplest Form	((3k)^3)/(2k^-10)	$\frac{{(3 k)}^{3}}{2 k^{- 10}}$
205784	Evaluate	-1/2*(-2/( square root of 3))	$- \frac{1}{2} \cdot (- \frac{2}{\sqrt{3}})$
205785	Solve for d	7500=pi/6d^3	$7500 = \frac{π}{6} d^{3}$
205786	Simplify the Radical Expression	13(8^(3/4))-4*8^(3/4)	$13 (8^{\frac{3}{4}}) - 4 \cdot 8^{\frac{3}{4}}$
205787	Multiply	(5x^2+25x)/2*(4x)/(x+5)	$\frac{5 x^{2} + 25 x}{2} \cdot \frac{4 x}{x + 5}$
205788	Solve the System of Equations	3x-1/2y=-7/2 x+2y=1	$3 x - \frac{1}{2} y = - \frac{7}{2}$ $x + 2 y = 1$
205789	Evaluate	12+((2^3)÷(2/3))-2	$12 + (2^{3} \div \frac{2}{3}) - 2$
205790	Simplify the Radical Expression	- square root of 6+ square root of 150	$- \sqrt{6} + \sqrt{150}$
205791	Solve for t	V=(kt)/P	$V = \frac{k t}{P}$
205792	Simplify	cube root of (x^2y)/27	$\sqrt[3]{\frac{x^{2} y}{27}}$
205793	Write in Standard Form	2y^2-5x+12y+23=0	$2 y^{2} - 5 x + 12 y + 23 = 0$
205794	Find the Degree, Leading Term, and Leading Coefficient	-1/9x^5-7x^3+3x^4+1	$- \frac{1}{9} x^{5} - 7 x^{3} + 3 x^{4} + 1$
205795	Simplify/Condense	log base 3 of a^7+( log base 3 of a^4-2* log base 3 of b)	$\log_{3} (a^{7}) + (\log_{3} (a^{4}) - 2 \cdot \log_{3} (b))$
205796	Evaluate	limit as x approaches infinity of cos(x)	$lim_{x \to \infty} \cos (x)$
205797	Simplify	square root of 2*0.5 square root of 8	$\sqrt{2} \cdot 0.5 \sqrt{8}$
205798	Write in Exponential Form	cube root of 2^3	$\sqrt[3]{2^{3}}$
205799	Simplify	((3x^2-22x+7)/10)÷((21x^2+14x-7)/(70x+70))	$\frac{3 x^{2} - 22 x + 7}{10} \div \frac{21 x^{2} + 14 x - 7}{70 x + 70}$
205800	Find the End Behavior	f(x)=-144x+4x^4+36x^3+40x^2-224	$f (x) = - 144 x + 4 x^{4} + 36 x^{3} + 40 x^{2} - 224$