Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211701	Simplify	(2c^(2/5))(2^3c^(2/5))	$(2 c^{\frac{2}{5}}) (2^{3} c^{\frac{2}{5}})$
211702	Simplify	(11a-2b)/(4a)+(2a-3b)/(4a)-(a-b)/(4a)	$\frac{11 a - 2 b}{4 a} + \frac{2 a - 3 b}{4 a} - \frac{a - b}{4 a}$
211703	Simplify	(a/(5b))^-2	${(\frac{a}{5 b})}^{- 2}$
211704	Simplify	(-x^5y^5-1/4x^3y^2+2/3x^5y-6xy^3)÷(-3x^2y^3)	$(- x^{5} y^{5} - \frac{1}{4} x^{3} y^{2} + \frac{2}{3} x^{5} y - 6 x y^{3}) \div (- 3 x^{2} y^{3})$
211705	Simplify	cube root of 8x^6* fourth root of 81x^12	$\sqrt[3]{8 x^{6}} \cdot \sqrt[4]{81 x^{12}}$
211706	Evaluate	((x^(n+5))/y)^2	${(\frac{x^{n + 5}}{y})}^{2}$
211707	Simplify the Radical Expression	square root of 2 square root of 5	$\sqrt{2} \sqrt{5}$
211708	Graph	-4y<=2/3x-2	$- 4 y \leq \frac{2}{3} x - 2$
211709	Simplify	((6x^2y^3)^2)/(108x^6y)	$\frac{{(6 x^{2} y^{3})}^{2}}{108 x^{6} y}$
211710	Simplify	15 square root of 11+3 square root of 11+5 square root of 11+6 square root of 11	$15 \sqrt{11} + 3 \sqrt{11} + 5 \sqrt{11} + 6 \sqrt{11}$
211711	Solve for b	square root of 2b-15 = square root of b/8	$\sqrt{2 b - 15} = \sqrt{\frac{b}{8}}$
211712	Simplify	(5x^3)(2x)(3x^2)	$(5 x^{3}) (2 x) (3 x^{2})$
211713	Simplify	(1+i square root of 2)-(1-i square root of 2)	$(1 + i \sqrt{2}) - (1 - i \sqrt{2})$
211714	Simplify the Radical Expression	2 square root of 180x^4yz^3	$2 \sqrt{180 x^{4} y z^{3}}$
211715	Simplify	(3k^2+5)+(16x^2+7)	$(3 k^{2} + 5) + (16 x^{2} + 7)$
211716	Find the Product	-7(8+k)	$- 7 (8 + k)$
211717	Find the Foci	((y-1)^2)/9-x^2=1	$\frac{{(y - 1)}^{2}}{9} - x^{2} = 1$
211718	Simplify	9(3s-3t)-2t-10(8t+s)*9(3s-3t)-2t-10(8t+s)	$9 (3 s - 3 t) - 2 t - 10 (8 t + s) \cdot 9 (3 s - 3 t) - 2 t - 10 (8 t + s)$
211719	Simplify	(x^-6y^-4z^-5)/(x^4y^-3z^8)	$\frac{x^{- 6} y^{- 4} z^{- 5}}{x^{4} y^{- 3} z^{8}}$
211720	Simplify	(8e^-4f^-2)/(18ef^-5)	$\frac{8 e^{- 4} f^{- 2}}{18 e f^{- 5}}$
211721	Solve for x	x/(x+6)+(2x+7)/(6-x)=1/(x-6)	$\frac{x}{x + 6} + \frac{2 x + 7}{6 - x} = \frac{1}{x - 6}$
211722	Multiply	square root of 30*6 square root of 10	$\sqrt{30} \cdot 6 \sqrt{10}$
211723	Solve for w	A=lw+wh+lh	$A = l w + w h + l h$
211724	Factor	5(4x+3)^2(7x-2)-(4x+3)(7x-2)^2	$5 {(4 x + 3)}^{2} (7 x - 2) - (4 x + 3) {(7 x - 2)}^{2}$
211725	Evaluate	5/9(32-32)	$\frac{5}{9} (32 - 32)$
211726	Solve the Inequality for x	(3x-1)/4-(x-5)/5>-2	$\frac{3 x - 1}{4} - \frac{x - 5}{5} > - 2$
211727	Solve for x	x^2(x^2+31)=180	$x^{2} (x^{2} + 31) = 180$
211728	Simplify the Radical Expression	10 square root of 20-12 square root of 45+9 square root of 24-15 square root of 54	$10 \sqrt{20} - 12 \sqrt{45} + 9 \sqrt{24} - 15 \sqrt{54}$
211729	Solve for m	3\|m+7\|+9<30	$3 \| m + 7 \| + 9 < 30$
211730	Simplify	1/(x^2y^3)+1/(x^2y)	$\frac{1}{x^{2} y^{3}} + \frac{1}{x^{2} y}$
211731	Solve for x	square root of 2x+4+2 square root of x-7=0	$\sqrt{2 x + 4} + 2 \sqrt{x - 7} = 0$
211732	Solve the Inequality for a	a/5<=5	$\frac{a}{5} \leq 5$
211733	Combine Like Terms	-9x-x+3+5	$- 9 x - x + 3 + 5$
211734	Solve for F	r=1/(2A) square root of B^2+C^2-4AF	$r = \frac{1}{2 A} \sqrt{B^{2} + C^{2} - 4 A F}$
211735	Expand the Logarithmic Expression	log of x square root of ( square root of x)/z	$\log (x \sqrt{\frac{\sqrt{x}}{z}})$
211736	Solve for x	( fifth root of 3)^(5x-10)=( eighth root of 3)^(4x)	${(\sqrt[5]{3})}^{5 x - 10} = {(\sqrt[8]{3})}^{4 x}$
211737	Evaluate	12% of 72 is what number?	$12 %$ of $72$ is what number?
211738	Solve for x	3+(2x+7)/x=9/2	$3 + \frac{2 x + 7}{x} = \frac{9}{2}$
211739	Evaluate	( cube root of x* square root of x^3)/( square root of 25x)	$\frac{\sqrt[3]{x} \cdot \sqrt{x^{3}}}{\sqrt{25 x}}$
211740	Simplify	( cube root of 27a^9)^2	${(\sqrt[3]{27 a^{9}})}^{2}$
211741	Factor	x^4-16x^2=x^2+18	$x^{4} - 16 x^{2} = x^{2} + 18$
211742	Simplify	square root of (3- square root of 15)^2- square root of (3+ square root of 15)^2	$\sqrt{{(3 - \sqrt{15})}^{2}} - \sqrt{{(3 + \sqrt{15})}^{2}}$
211743	Solve for t	5-4t=6	$5 - 4 t = 6$
211744	Simplify	3x^2y cube root of 8x^10y^8	$3 x^{2} y \sqrt[3]{8 x^{10} y^{8}}$
211745	Evaluate	(-1/8)/(-1/8+1)-1	$\frac{- \frac{1}{8}}{- \frac{1}{8} + 1} - 1$
211746	Solve for x	1/2x-1/3=4-x	$\frac{1}{2} x - \frac{1}{3} = 4 - x$
211747	Solve the Inequality for x	(\|x+8\|)/7>=1	$\frac{\| x + 8 \|}{7} \geq 1$
211748	Solve the Inequality for x	-3<=2/3x-5<-1	$- 3 \leq \frac{2}{3} x - 5 < - 1$
211749	Rationalize the Denominator	-8/(4+ square root of 13)	$\frac{- 8}{4 + \sqrt{13}}$
211750	Graph	y=2x-2 x=4	$y = 2 x - 2$ $x = 4$
211751	Simplify	(5m^(4/3)5n^(1/4))(m^(1/3)2n^(1/8))	$(5 m^{\frac{4}{3}} \cdot 5 n^{\frac{1}{4}}) (m^{\frac{1}{3}} \cdot 2 n^{\frac{1}{8}})$
211752	Find the Exact Value	sec(arctan( square root of 3))	$\sec (\arctan (\sqrt{3}))$
211753	Simplify	(x^2+1)/(x^2-1)+1/(x+1)+1/(x-1)	$\frac{x^{2} + 1}{x^{2} - 1} + \frac{1}{x + 1} + \frac{1}{x - 1}$
211754	Solve the Inequality for x	1/x+3>4	$\frac{1}{x} + 3 > 4$
211755	Evaluate	5* log base 7 of 7	$5 \cdot \log_{7} (7)$
211756	Solve for x	14+5/7x-20=4(1/7x-1)	$14 + \frac{5}{7} x - 20 = 4 (\frac{1}{7} x - 1)$
211757	Simplify	(-1)^4(-3)^-39^2	${(- 1)}^{4} \cdot {(- 3)}^{- 3} \cdot 9^{2}$
211758	Graph	Graph y=-4	Graph $y = - 4$
211759	Simplify the Radical Expression	square root of (81a^2)/(100b^2)	$\sqrt{\frac{81 a^{2}}{100 b^{2}}}$
211760	Evaluate	13(8^(3/4))-4*8^(3/4)	$13 (8^{\frac{3}{4}}) - 4 \cdot 8^{\frac{3}{4}}$
211761	Evaluate	((3^3)^2+(3^2)^3+3^2*3^4)/9	$\frac{{(3^{3})}^{2} + {(3^{2})}^{3} + 3^{2} \cdot 3^{4}}{9}$
211762	Graph	Graph the line with the equation y=-x-2	Graph the line with the equation $y = - x - 2$
211763	Evaluate	((1.710^6)÷(2.6310^5))+7.33	$((1.7 \times 10^{6}) \div (2.63 \times 10^{5})) + 7.33$
211764	Divide	((x^2-9)/(x+1))÷((x^2-6x+9)/(7x+7))	$\frac{x^{2} - 9}{x + 1} \div \frac{x^{2} - 6 x + 9}{7 x + 7}$
211765	Solve for x	3x+1>(-7x-14)/-4	$3 x + 1 > \frac{- 7 x - 14}{- 4}$
211766	Solve for h	s=hp+2b	$s = h p + 2 b$
211767	Find the Domain and Range	f(x)=1/(1+ square root of x)	$f (x) = \frac{1}{1 + \sqrt{x}}$
211768	Solve for x	x^2-1/x=0	$x^{2} - \frac{1}{x} = 0$
211769	Simplify	((9xy)^2)/((3x)^3)	$\frac{{(9 x y)}^{2}}{{(3 x)}^{3}}$
211770	Simplify	x/7+(4x)/7	$\frac{x}{7} + \frac{4 x}{7}$
211771	Factor	2x(3x)+2x(5)	$2 x (3 x) + 2 x (5)$
211772	Solve for x	(3x-4)(x-2)-5=0	$(3 x - 4) (x - 2) - 5 = 0$
211773	Solve the Inequality for x	square root of 2x+2+1>=5	$\sqrt{2 x + 2} + 1 \geq 5$
211774	Simplify	-2(3m^3+6)+3m(2m^2+3m+1)	$- 2 (3 m^{3} + 6) + 3 m (2 m^{2} + 3 m + 1)$
211775	Factor	21xy-12b^2+14xb-18 by	$21 x y - 12 b^{2} + 14 x b - 18$ by
211776	Convert to Interval Notation	2(7a-1)-11a>=3(a-4)	$2 (7 a - 1) - 11 a \geq 3 (a - 4)$
211777	Multiply	12*(9-7i)	$12 \cdot (9 - 7 i)$
211778	Divide	(x^4-3x^3+5x-6)(x+2)^-1	$(x^{4} - 3 x^{3} + 5 x - 6) {(x + 2)}^{- 1}$
211779	Graph	{(x,y)\|x>=2}	${(x, y) \| x \geq 2}$
211780	Solve for x	log base 4 of x+1- log base 4 of x-2=2 log base 4 of 8	$\log_{4} (x + 1) - \log_{4} (x - 2) = 2 \log_{4} (8)$
211781	Find the Domain and Range	f(x)=-10(2x+1)^2-1	$f (x) = - 10 {(2 x + 1)}^{2} - 1$
211782	Write in Slope-Intercept Form	(-2,5) and (-4,-5)	$(- 2, 5)$ and $(- 4, - 5)$
211783	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,1) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 3, 1)$ and has a slope of $- 2$ ?
211784	Simplify the Radical Expression	square root of 2x^2y^3	$\sqrt{2 x^{2} y^{3}}$
211785	Multiply	(2a^2b+2b^3)(3a^2b+3b+5b^3)	$(2 a^{2} b + 2 b^{3}) (3 a^{2} b + 3 b + 5 b^{3})$
211786	Find the End Behavior	y=(2x+3)(x-1)(x-4)	$y = (2 x + 3) (x - 1) (x - 4)$
211787	Solve for x	(12+6x)/3=(5-9)/2	$\frac{12 + 6 x}{3} = \frac{5 - 9}{2}$
211788	Factor	3p-2p^2-18p+27	$3 p - 2 p^{2} - 18 p + 27$
211789	Simplify	i^5+i^6+i^7+i^8	$i^{5} + i^{6} + i^{7} + i^{8}$
211790	Simplify	(1/3)^(-2/5)*96^(-2/5)	${(\frac{1}{3})}^{- \frac{2}{5}} \cdot 96^{- \frac{2}{5}}$
211791	Solve for z	1/x=1/y-1/z	$\frac{1}{x} = \frac{1}{y} - \frac{1}{z}$
211792	Simplify	3((5-2)*3+4)	$3 ((5 - 2) \cdot 3 + 4)$
211793	Solve for y	9x+18=6y-3x for y	$9 x + 18 = 6 y - 3 x$ for $y$
211794	Subtract	32x square root of 5-18x square root of 20	$32 x \sqrt{5} - 18 x \sqrt{20}$
211795	Simplify	7 1/3t-(10 2/3t-6)	$7 \frac{1}{3} t - (10 \frac{2}{3} t - 6)$
211796	Simplify	-6 cube root of 4-8 square root of 2+7 square root of 2- cube root of 4	$- 6 \sqrt[3]{4} - 8 \sqrt{2} + 7 \sqrt{2} - \sqrt[3]{4}$
211797	Simplify	a^-3b^0c^6	$a^{- 3} b^{0} c^{6}$
211798	Simplify	fourth root of (32w)/81	$\sqrt[4]{\frac{32 w}{81}}$
211799	Evaluate	(11^7* square root of 6)/(11^5*6^(3/2))	$\frac{11^{7} \cdot \sqrt{6}}{11^{5} \cdot 6^{\frac{3}{2}}}$
211800	Simplify	(12p-1)/(3p^2)-(1-3p)/(3p^2)	$\frac{12 p - 1}{3 p^{2}} - \frac{1 - 3 p}{3 p^{2}}$