Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
109201	Simplify	(-3g^-4h^3)^-3	${(- 3 g^{- 4} h^{3})}^{- 3}$
109202	Convert to Interval Notation	\|x\|<=12	$\| x \| \leq 12$
109203	Convert to Interval Notation	(2x-1)/x>0	$\frac{2 x - 1}{x} > 0$
109204	Simplify	(8v)^2	${(8 v)}^{2}$
109205	Convert to Interval Notation	((x+5)(x-7))/(x+3)<=0	$\frac{(x + 5) (x - 7)}{x + 3} \leq 0$
109206	Simplify	(8x^3y^2)^-3	${(8 x^{3} y^{2})}^{- 3}$
109207	Simplify	(81x^4)^(1/4)	${(81 x^{4})}^{\frac{1}{4}}$
109208	Simplify	(-7a^5b^3c)^2	${(- 7 a^{5} b^{3} c)}^{2}$
109209	Simplify	(-7x^-3y^5)^-2	${(- 7 x^{- 3} y^{5})}^{- 2}$
109210	Simplify	(7x+5)^2	${(7 x + 5)}^{2}$
109211	Simplify	(9x^10)^(1/2)	${(9 x^{10})}^{\frac{1}{2}}$
109212	Write as a Single Logarithm	4 log of m- log of n	$4 \log (m) - \log (n)$
109213	Simplify	(9xy)^2	${(9 x y)}^{2}$
109214	Simplify	(9z)^(1/2)	${(9 z)}^{\frac{1}{2}}$
109215	Simplify	(cd)^5	${(c d)}^{5}$
109216	Find the Center and Radius	(x-2)^2+(y-1)^2=9	${(x - 2)}^{2} + {(y - 1)}^{2} = 9$
109217	Simplify	(gh)^0	${(g h)}^{0}$
109218	Simplify	(m-p)^4	${(m - p)}^{4}$
109219	Subtract	(x^2+43x+10)-(-10x^2-5x+10)	$(x^{2} + 43 x + 10) - (- 10 x^{2} - 5 x + 10)$
109220	Simplify	(mn)^(1/6)	${(m n)}^{\frac{1}{6}}$
109221	Subtract	180-79	$180 - 79$
109222	Simplify	(-i)^13	${(- i)}^{13}$
109223	Simplify	(pq)^11	${(p q)}^{11}$
109224	Simplify	(w+7)^2	${(w + 7)}^{2}$
109225	Add	(-5n^4+8)+(5n^4+8n^3+3n^2)	$(- 5 n^{4} + 8) + (5 n^{4} + 8 n^{3} + 3 n^{2})$
109226	Simplify	(5k^9)^-3	${(5 k^{9})}^{- 3}$
109227	Expand the Logarithmic Expression	log of (x^9)/(y^4)	$\log (\frac{x^{9}}{y^{4}})$
109228	Simplify	(5mn^3)^3	${(5 m n^{3})}^{3}$
109229	Simplify	(5xy^3)^2	${(5 x y^{3})}^{2}$
109230	Simplify	(-4x)^(-1/5)	${(- 4 x)}^{- \frac{1}{5}}$
109231	Convert to Radical Form	x^(-11/10)	$x^{- \frac{11}{10}}$
109232	Simplify	(-4-5i)^2	${(- 4 - 5 i)}^{2}$
109233	Simplify	(4x+8)^2	${(4 x + 8)}^{2}$
109234	Find the Domain	f(x) = square root of 14-2x	$f (x) = \sqrt{14 - 2 x}$
109235	Simplify	(4x+5y)^2	${(4 x + 5 y)}^{2}$
109236	Simplify	(4x-5y)^2	${(4 x - 5 y)}^{2}$
109237	Simplify	(5x)^(-5/4)	${(5 x)}^{- \frac{5}{4}}$
109238	Simplify	-(5x)^2	$- {(5 x)}^{2}$
109239	Simplify	(5x-y)^2	${(5 x - y)}^{2}$
109240	Find the Domain	(5-x)/(x^2-4x)	$\frac{5 - x}{x^{2} - 4 x}$
109241	Simplify	(5xy)^3	${(5 x y)}^{3}$
109242	Simplify	(-6a^4b^5c)^2	${(- 6 a^{4} b^{5} c)}^{2}$
109243	Simplify	(6x)^-2	${(6 x)}^{- 2}$
109244	Simplify	(6x+4)^2	${(6 x + 4)}^{2}$
109245	Simplify	(-6+7i)^2	${(- 6 + 7 i)}^{2}$
109246	Solve Using the Quadratic Formula	6x^2-6x-2=0	$6 x^{2} - 6 x - 2 = 0$
109247	Simplify	(6x^2y)^2(y^2)^3	${(6 x^{2} y)}^{2} {(y^{2})}^{3}$
109248	Simplify	(x+y)^4	${(x + y)}^{4}$
109249	Convert to Interval Notation	\|x-4\|>=4	$\| x - 4 \| \geq 4$
109250	Simplify	(x+h)^2-3(x+h)	${(x + h)}^{2} - 3 (x + h)$
109251	Simplify	((x-3)(x+4))/((x-1)(x+2))*(x+2)/(2(x-3))	$\frac{(x - 3) (x + 4)}{(x - 1) (x + 2)} \cdot \frac{x + 2}{2 (x - 3)}$
109252	Simplify	(x-2)^4	${(x - 2)}^{4}$
109253	Convert to Interval Notation	\|1-x\|<=7	$\| 1 - x \| \leq 7$
109254	Simplify	-(x+4)^2	$- {(x + 4)}^{2}$
109255	Simplify	(xy)^(1/9)	${(x y)}^{\frac{1}{9}}$
109256	Simplify	(xy)^(1/10)	${(x y)}^{\frac{1}{10}}$
109257	Simplify	(z-5)^3	${(z - 5)}^{3}$
109258	Convert to Interval Notation	\|x-5\|>=1	$\| x - 5 \| \geq 1$
109259	Simplify	((x^5)^(1/2))/(x^(9/2))	$\frac{{(x^{5})}^{\frac{1}{2}}}{x^{\frac{9}{2}}}$
109260	Convert to Radical Form	(54a)^(2/3)	${(54 a)}^{\frac{2}{3}}$
109261	Simplify	((x^6y^8)^3)/(x^2y^2)	$\frac{{(x^{6} y^{8})}^{3}}{x^{2} y^{2}}$
109262	Convert to Radical Form	y^(-6/5)	$y^{- \frac{6}{5}}$
109263	Simplify	((10w^3)^2)/(5w)	$\frac{{(10 w^{3})}^{2}}{5 w}$
109264	Convert to Radical Form	(n^3)^(2/5)	${(n^{3})}^{\frac{2}{5}}$
109265	Simplify	((-2ab^2)^3)/(20ab^4)	$\frac{{(- 2 a b^{2})}^{3}}{20 a b^{4}}$
109266	Simplify	((2j^-4y^5)^3)/((3j^6y^3)^3)	$\frac{{(2 j^{- 4} y^{5})}^{3}}{{(3 j^{6} y^{3})}^{3}}$
109267	Simplify	((2y^(1/4))^3)/(y^(1/12))	$\frac{{(2 y^{\frac{1}{4}})}^{3}}{y^{\frac{1}{12}}}$
109268	Simplify	((2x^-3y^4)^3)/((4xy)^2)	$\frac{{(2 x^{- 3} y^{4})}^{3}}{{(4 x y)}^{2}}$
109269	Find the Center and Radius	x^2+y^2+8x-4y-5=0	$x^{2} + y^{2} + 8 x - 4 y - 5 = 0$
109270	Expand the Logarithmic Expression	log base b of square root of 57/74	$\log_{b} (\sqrt{\frac{57}{74}})$
109271	Simplify	((m+n)^2)/(m-n)*m/(m^2+mn)	$\frac{{(m + n)}^{2}}{m - n} \cdot \frac{m}{m^{2} + m n}$
109272	Find the x and y Intercepts	f(x)=20/(1+9e^(3x))	$f (x) = \frac{20}{1 + 9 e^{3 x}}$
109273	Simplify	((x+y)^2)/(x^2-y^2)*(x-y)/1	$\frac{{(x + y)}^{2}}{x^{2} - y^{2}} \cdot \frac{x - y}{1}$
109274	Factor	-3x^2+17x-20	$- 3 x^{2} + 17 x - 20$
109275	Simplify	(b^3(b-3))/((b-4)(b-2))*((b-4)(b+2))/(9b(b-3))	$\frac{b^{3} (b - 3)}{(b - 4) (b - 2)} \cdot \frac{(b - 4) (b + 2)}{9 b (b - 3)}$
109276	Simplify	(c^2-3c)/(c^2-25)*(c^2+4c-5)/(c^2-4c+3)	$\frac{c^{2} - 3 c}{c^{2} - 25} \cdot \frac{c^{2} + 4 c - 5}{c^{2} - 4 c + 3}$
109277	Simplify	(b^(2/3))/(b^(1/7))	$\frac{b^{\frac{2}{3}}}{b^{\frac{1}{7}}}$
109278	Subtract	(y^2-7y-5)-(-3y^2+3y-4)	$(y^{2} - 7 y - 5) - (- 3 y^{2} + 3 y - 4)$
109279	Simplify	(a^7)/(a^4)	$\frac{a^{7}}{a^{4}}$
109280	Subtract	100-49	$100 - 49$
109281	Simplify	(3/(x+1))/(5/(x-1))	$\frac{\frac{3}{x + 1}}{\frac{5}{x - 1}}$
109282	Subtract	25-6	$25 - 6$
109283	Simplify	((4x^2-2x)/(x^2+5x+4))/((2x)/(x^2+2x+1))	$\frac{\frac{4 x^{2} - 2 x}{x^{2} + 5 x + 4}}{\frac{2 x}{x^{2} + 2 x + 1}}$
109284	Simplify	(5^-2)/p	$\frac{5^{- 2}}{p}$
109285	Find the Asymptotes	f(x)=2 log base 3 of x+1-3	$f (x) = 2 \log_{3} (x + 1) - 3$
109286	Simplify	(18^x)/3	$\frac{18^{x}}{3}$
109287	Simplify	1/(x+1)-1/(x-1)	$\frac{1}{x + 1} - \frac{1}{x - 1}$
109288	Add	18+16	$18 + 16$
109289	Simplify	1/(x+1)+1/(x-1)	$\frac{1}{x + 1} + \frac{1}{x - 1}$
109290	Add	(-3p^3+5p^2-2p)+(-p^3-8p^2-15p)	$(- 3 p^{3} + 5 p^{2} - 2 p) + (- p^{3} - 8 p^{2} - 15 p)$
109291	Simplify	1/(7x)+5/(6x)	$\frac{1}{7 x} + \frac{5}{6 x}$
109292	Expand the Logarithmic Expression	natural log of 4x^2y	$\ln (4 x^{2} y)$
109293	Simplify	1/(x^-3)	$\frac{1}{x^{- 3}}$
109294	Simplify	1/(x^2+2x+1)+x/(x+1)	$\frac{1}{x^{2} + 2 x + 1} + \frac{x}{x + 1}$
109295	Expand the Logarithmic Expression	log base 5 of square root of a^7b	$\log_{5} (\sqrt{a^{7} b})$
109296	Find the Roots (Zeros)	f(x)=x^2+9x-70	$f (x) = x^{2} + 9 x - 70$
109297	Simplify	1/((x+h)^2)-1/(x^2)	$\frac{1}{{(x + h)}^{2}} - \frac{1}{x^{2}}$
109298	Add	(s^3-2s-9)+(2s^2-6s^3+s)	$(s^{3} - 2 s - 9) + (2 s^{2} - 6 s^{3} + s)$
109299	Simplify	1/2+2/3	$\frac{1}{2} + \frac{2}{3}$
109300	Simplify	1/27+1/6	$\frac{1}{27} + \frac{1}{6}$