Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206201	Simplify	(x^(3n)*x^(n-2))^3	${(x^{3 n} \cdot x^{n - 2})}^{3}$
206202	Simplify	((10r+6)/(6r^2+42r))÷((15r^2-21r-18)/(3r-6))	$\frac{10 r + 6}{6 r^{2} + 42 r} \div \frac{15 r^{2} - 21 r - 18}{3 r - 6}$
206203	Find the Excluded Values	((x+8)/(x^2-6x-7))/((x^2+16x+64)/(x+1))	$\frac{\frac{x + 8}{x^{2} - 6 x - 7}}{\frac{x^{2} + 16 x + 64}{x + 1}}$
206204	Simplify	4/5x+3/8+3/10x	$\frac{4}{5} x + \frac{3}{8} + \frac{3}{10} x$
206205	Evaluate	(11pi)/12=(3pi)/4+pi/6	$\frac{11 π}{12} = \frac{3 π}{4} + \frac{π}{6}$
206206	Solve the Inequality for θ	tan(theta)>0	$\tan (θ) > 0$
206207	Simplify the Radical Expression	fourth root of (4a^3b^2)/(2a^2b^3)	$\sqrt[4]{\frac{4 a^{3} b^{2}}{2 a^{2} b^{3}}}$
206208	Evaluate	y=e^-4	$y = e^{- 4}$
206209	Simplify	(9x)/5*5/(4x^2)	$\frac{9 x}{5} \cdot \frac{5}{4 x^{2}}$
206210	Solve for x	natural log of x-4 = natural log of x+2+ natural log of 3	$\ln (x - 4) = \ln (x + 2) + \ln (3)$
206211	Simplify the Radical Expression	8/(6+ square root of 7)	$\frac{8}{6 + \sqrt{7}}$
206212	Simplify	3 square root of 3+5 square root of 3-2 square root of 5	$3 \sqrt{3} + 5 \sqrt{3} - 2 \sqrt{5}$
206213	Solve the Inequality for x	5^(2x+1)<=125	$5^{2 x + 1} \leq 125$
206214	Find the Degree, Leading Term, and Leading Coefficient	1-(x^2)/9	$1 - \frac{x^{2}}{9}$
206215	Simplify	(1/2)÷(-( square root of 3)/2)	$\frac{1}{2} \div (- \frac{\sqrt{3}}{2})$
206216	Solve for k	-2.38+3.9k=2.17+3.2k+2.45	$- 2.38 + 3.9 k = 2.17 + 3.2 k + 2.45$
206217	Solve for x	(1/8)^(3x^2-3x)=64^(9x-21)	${(\frac{1}{8})}^{3 x^{2} - 3 x} = 64^{9 x - 21}$
206218	Solve for x	(2 square root of x-5)/3-5=1	$\frac{2 \sqrt{x - 5}}{3} - 5 = 1$
206219	Write the Fraction in Simplest Form	(12q^3)/((3q^2)^5)	$\frac{12 q^{3}}{{(3 q^{2})}^{5}}$
206220	Graph	y=-5/2x-3 x-y=-4	$y = - \frac{5}{2} x - 3$ $x - y = - 4$
206221	Find All Complex Solutions	x^3+40=25	$x^{3} + 40 = 25$
206222	Simplify	square root of 2x- square root of 8x^3+3 square root of 18x	$\sqrt{2 x} - \sqrt{8 x^{3}} + 3 \sqrt{18 x}$
206223	Simplify	1/4x+1+3/4x-2/3-1/2x	$\frac{1}{4} x + 1 + \frac{3}{4} x - \frac{2}{3} - \frac{1}{2} x$
206224	Solve for x	x+3 = square root of 16	$x + 3 = \sqrt{16}$
206225	Solve the Inequality for m	-4.5>m/6	$- 4.5 > \frac{m}{6}$
206226	Evaluate	((8-2)(3+2)-1)3	$((8 - 2) \cdot (3 + 2) - 1) \cdot 3$
206227	Solve for x	32(1/4)^(x/3)=2	$32 {(\frac{1}{4})}^{\frac{x}{3}} = 2$
206228	Simplify	x2/3*x7/3	$x \frac{2}{3} \cdot x \frac{7}{3}$
206229	Write in Exponential Form	cube root of 7^6	$\sqrt[3]{7^{6}}$
206230	Divide	(x^4-3x^3-7x-14)÷(x-4)	$(x^{4} - 3 x^{3} - 7 x - 14) \div (x - 4)$
206231	Evaluate	(x^-1y^-2)/(z^-3)	$\frac{x^{- 1} y^{- 2}}{z^{- 3}}$
206232	Solve for B	2pi=(2pi)/B	$2 π = \frac{2 π}{B}$
206233	Simplify	(5x^4y^2(2x^5y^6))/(20x^3y^5)	$\frac{5 x^{4} y^{2} (2 x^{5} y^{6})}{20 x^{3} y^{5}}$
206234	Graph	f(x)=1/2 square root of x-1-1	$f (x) = \frac{1}{2} \sqrt{x - 1} - 1$
206235	Simplify the Radical Expression	square root of (162a)/(6a^3)	$\sqrt{\frac{162 a}{6 a^{3}}}$
206236	Graph	y>\|x-1\|-5 y<=-\|x+3\|+5	$y > \| x - 1 \| - 5$ $y \leq - \| x + 3 \| + 5$
206237	Simplify	(x^4-3x^3+5x-6)(x+2)^-1	$(x^{4} - 3 x^{3} + 5 x - 6) {(x + 2)}^{- 1}$
206238	Write in Slope-Intercept Form	x-1/2(y-6)=8	$x - \frac{1}{2} (y - 6) = 8$
206239	Solve for p	25^(7p-2)*625^(3-2p)=1	$25^{7 p - 2} \cdot 625^{3 - 2 p} = 1$
206240	Find the Degree, Leading Term, and Leading Coefficient	f(x)=10-x^4	$f (x) = 10 - x^{4}$
206241	Simplify	square root of 108yz+3 square root of 98yz+2 square root of 75yz	$\sqrt{108 y z} + 3 \sqrt{98 y z} + 2 \sqrt{75 y z}$
206242	Evaluate	(2(fg^4))^4(fg)^6	${(2 f g^{4})}^{4} {(f g)}^{6}$
206243	Solve for x	x=24/(x-5)	$x = \frac{24}{x - 5}$
206244	Simplify	(1+a^3)÷(1+a)	$(1 + a^{3}) \div (1 + a)$
206245	Find the Holes in the Graph	(x^2-5x+6)/(x^2-4x+3)	$\frac{x^{2} - 5 x + 6}{x^{2} - 4 x + 3}$
206246	Simplify the Radical Expression	2ab^2 square root of (200a^2b^5c^11)/(c^11)	$2 a b^{2} \sqrt{\frac{200 a^{2} b^{5} c^{11}}{c^{11}}}$
206247	Simplify	(x^9y^6)^(-1/3)	${(x^{9} y^{6})}^{- \frac{1}{3}}$
206248	Simplify	cube root of 125x^8* fourth root of 16x	$\sqrt[3]{125 x^{8}} \cdot \sqrt[4]{16 x}$
206249	Divide	((y^2-49)/((y-7)^2))÷((5y+35)/(y^2-7y))	$\frac{y^{2} - 49}{{(y - 7)}^{2}} \div \frac{5 y + 35}{y^{2} - 7 y}$
206250	Write Using Positive Exponents	m^4*2m^-3	$m^{4} \cdot 2 m^{- 3}$
206251	Find the Exact Value	( log of 64)/( log of 8)	$\frac{\log (64)}{\log (8)}$
206252	Simplify the Radical Expression	(2- square root of 12)/( square root of 3)	$\frac{2 - \sqrt{12}}{\sqrt{3}}$
206253	Simplify	((x^4y^-2)/(x^-3y^5))^-1	${(\frac{x^{4} y^{- 2}}{x^{- 3} y^{5}})}^{- 1}$
206254	Simplify	-4^-2x^-1y^2z^3	$- 4^{- 2} x^{- 1} y^{2} z^{3}$
206255	Simplify	(3e^2-13e)/e+(9e^2+15e)/(3e)	$\frac{3 e^{2} - 13 e}{e} + \frac{9 e^{2} + 15 e}{3 e}$
206256	Simplify	(sec(z)^4-1)/(2+tan(z)^2)	$\frac{\sec^{4} (z) - 1}{2 + \tan^{2} (z)}$
206257	Plot	y>3x-5 y>-x+2	$y > 3 x - 5$ $y > - x + 2$
206258	Solve for x	square root of 8x+2 = square root of 10x+11	$\sqrt{8 x} + 2 = \sqrt{10 x + 11}$
206259	Simplify	2x^2(x+3)^2	$2 x^{2} {(x + 3)}^{2}$
206260	Solve the Inequality for x	2(x+3)<0	$2 (x + 3) < 0$
206261	Simplify	7>x/4	$7 > \frac{x}{4}$
206262	Evaluate Using the Given Value	D=3ef^2 ; for e	$D = 3 e f^{2}$ ; for $e$
206263	Evaluate	(3x^-7)(5x^4)	$(3 x^{- 7}) (5 x^{4})$
206264	Solve the Inequality for x	y<2x+2	$y < 2 x + 2$
206265	Simplify	(csc(x)-1)/(sin(x)-1)	$\frac{\csc (x) - 1}{\sin (x) - 1}$
206266	Graph	F(x)=-5x^4	$F (x) = - 5 x^{4}$
206267	Find the Degree, Leading Term, and Leading Coefficient	-1/9+x^2	$- \frac{1}{9} + x^{2}$
206268	Find the Domain and Range	f(x)=-1/((x+3)^2)+2	$f (x) = - \frac{1}{{(x + 3)}^{2}} + 2$
206269	Solve for y	3(y-2)+2y=4y+14	$3 (y - 2) + 2 y = 4 y + 14$
206270	Convert to Radical Form	(3x^2+3)^(-2/5)	${(3 x^{2} + 3)}^{- \frac{2}{5}}$
206271	Multiply	4 square root of 2x*5 square root of 6xy^2	$4 \sqrt{2 x} \cdot 5 \sqrt{6 x y^{2}}$
206272	Solve for x	4+(x-1)^(1/3)=2	$4 + {(x - 1)}^{\frac{1}{3}} = 2$
206273	Simplify	(-3x^4y)^2*(5x^2y^6)-(7x^5y^4)^2	${(- 3 x^{4} y)}^{2} \cdot (5 x^{2} y^{6}) - {(7 x^{5} y^{4})}^{2}$
206274	Factor	1+y^2-2y	$1 + y^{2} - 2 y$
206275	Solve for x	5(x-2)+2x=2(x+5)+x	$5 (x - 2) + 2 x = 2 (x + 5) + x$
206276	Simplify	cube root of 4x^2* cube root of 8x^3	$\sqrt[3]{4 x^{2}} \cdot \sqrt[3]{8 x^{3}}$
206277	Solve for x	(x+5)/(x-2)-5/(x+2)=28/(x^2-4)	$\frac{x + 5}{x - 2} - \frac{5}{x + 2} = \frac{28}{x^{2} - 4}$
206278	Solve for y	-1/4x+8xy=16	$- \frac{1}{4} x + 8 x y = 16$
206279	Solve for x	x/4-3=2x+1	$\frac{x}{4} - 3 = 2 x + 1$
206280	Factor	1/4x^2+x+1	$\frac{1}{4} x^{2} + x + 1$
206281	Simplify	(x^(2/5)y)/(xy^(-1/3))	$\frac{x^{\frac{2}{5}} y}{x y^{- \frac{1}{3}}}$
206282	Solve for x	y=e^(-x^2)	$y = e^{- x^{2}}$
206283	Simplify	(45-5w)/(3w^2-28w+9)	$\frac{45 - 5 w}{3 w^{2} - 28 w + 9}$
206284	Evaluate	(y/2)-1=4^(x-1)	$(\frac{y}{2}) - 1 = 4^{x - 1}$
206285	Simplify	(9c^2d^9-27c^6d^5-3cd^3)/(3cd^3)	$\frac{9 c^{2} d^{9} - 27 c^{6} d^{5} - 3 c d^{3}}{3 c d^{3}}$
206286	Solve for x	square root of square root of x+25 = square root of x+5	$\sqrt{\sqrt{x + 25}} = \sqrt{x + 5}$
206287	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x-8x^3-x^4+6	$f (x) = 8 x - 8 x^{3} - x^{4} + 6$
206288	Simplify the Radical Expression	square root of 7* cube root of 7	$\sqrt{7} \cdot \sqrt[3]{7}$
206289	Solve for x	4x-(3(x-12)+1)=10	$4 x - (3 (x - 12) + 1) = 10$
206290	Solve for x	1/5x-1/2=1/10x-2	$\frac{1}{5} x - \frac{1}{2} = \frac{1}{10} x - 2$
206291	Find the Domain and Range	(3x^2-3)/(x^2-1)	$\frac{3 x^{2} - 3}{x^{2} - 1}$
206292	Write in Standard Form	-7+2x-x^5+4x^4+2x^3	$- 7 + 2 x - x^{5} + 4 x^{4} + 2 x^{3}$
206293	Simplify	(6a^4+9a^4)/(5a^2)	$\frac{6 a^{4} + 9 a^{4}}{5 a^{2}}$
206294	Simplify	(x^(-u)y^v)^(-a)(x^(-2u)y^(3v))^a	${(x^{- u} y^{v})}^{- a} {(x^{- 2 u} y^{3 v})}^{a}$
206295	Simplify	fourth root of 5^3* square root of 5	$\sqrt[4]{5^{3}} \cdot \sqrt{5}$
206296	Simplify	sin(theta)^2+cos(theta)^2+tan(theta)^2-1	$\sin^{2} (θ) + \cos^{2} (θ) + \tan^{2} (θ) - 1$
206297	Simplify	(27x^2y^4)/(16yz^3)*(8z)/(9xy^3)	$\frac{27 x^{2} y^{4}}{16 y z^{3}} \cdot \frac{8 z}{9 x y^{3}}$
206298	Simplify the Radical Expression	(5x)^(-1/2)	${(5 x)}^{- \frac{1}{2}}$
206299	Simplify the Radical Expression	fourth root of 9x^2y^2	$\sqrt[4]{9 x^{2} y^{2}}$
206300	Simplify	cube root of 27* cube root of 2	$\sqrt[3]{27} \cdot \sqrt[3]{2}$