Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12301	Simplify	(z^(5/2Z)-1/2)/(z^(1/3))	$\frac{z^{\frac{5}{2} Z} - \frac{1}{2}}{z^{\frac{1}{3}}}$
12302	Simplify	\|(-4-i)-3i(-4-i)\|	$\| (- 4 - i) - 3 i (- 4 - i) \|$
12303	Simplify	\|0.5/(4+3i)\|	$\| \frac{0.5}{4 + 3 i} \|$
12304	Simplify	\|(2x+3)/6\|	$\| \frac{2 x + 3}{6} \|$
12305	Simplify	\|0.1x^2-2x+3\|	$\| 0.1 x^{2} - 2 x + 3 \|$
12306	Simplify	\|4a-5\|	$\| 4 a - 5 \|$
12307	Simplify	\|-6\|	$\| - 6 \|$
12308	Simplify	(2x^2-1/400y^2)^2-(2x^2+1/400y^2)^2	${(2 x^{2} - \frac{1}{400} y^{2})}^{2} - {(2 x^{2} + \frac{1}{400} y^{2})}^{2}$
12309	Simplify	(0.1(1-2^n))/(1-2)	$\frac{0.1 (1 - 2^{n})}{1 - 2}$
12310	Simplify	-0.32/0.2	$- \frac{0.32}{0.2}$
12311	Simplify	0.501/0.956	$\frac{0.501}{0.956}$
12312	Simplify	(0.8550-0.8515)/(0.0565 square root of 27)	$\frac{0.855 - 0.8515}{0.0565 \sqrt{27}}$
12313	Simplify	1.005^-36	${1.005}^{- 36}$
12314	Simplify	1.008^n((1-1.008^n)/(1-1.008))	${1.008}^{n} (\frac{1 - {1.008}^{n}}{1 - 1.008})$
12315	Simplify	1.008^n*((1-1.008^n)/(1-1.008))	${1.008}^{n} \cdot (\frac{1 - {1.008}^{n}}{1 - 1.008})$
12316	Simplify	1.2323/(e^(5r))	$\frac{1.2323}{e^{5 r}}$
12317	Simplify	1.7/( square root of 2.71)	$\frac{1.7}{\sqrt{2.71}}$
12318	Simplify	1.9/( square root of 903)	$\frac{1.9}{\sqrt{903}}$
12319	Simplify	-1/12*((x+8)(x-3))	$- \frac{1}{12} \cdot ((x + 8) (x - 3))$
12320	Simplify	-1/2*20^2+20(20)	$- \frac{1}{2} \cdot 20^{2} + 20 (20)$
12321	Simplify	1/2(8-4x)+1/3(9x-6)	$\frac{1}{2} \cdot (8 - 4 x) + \frac{1}{3} \cdot (9 x - 6)$
12322	Simplify	1/2*(8-x)	$\frac{1}{2} \cdot (8 - x)$
12323	Simplify	1/2(((p4)/3*(p(2)))(800))	$\frac{1}{2} \cdot ((\frac{p \cdot 4}{3} \cdot (p (2))) (800))$
12324	Simplify	1/2(((p4)/3*(p(7)))(2800))	$\frac{1}{2} \cdot ((\frac{p \cdot 4}{3} \cdot (p (7))) (2800))$
12325	Simplify	1/2*(x-3)	$\frac{1}{2} \cdot (x - 3)$
12326	Simplify	1/2*5/4	$\frac{1}{2} \cdot \frac{5}{4}$
12327	Simplify	1/2z^2	$\frac{1}{2} z^{2}$
12328	Simplify	-1/2+1/5x-(2/5x-27(5x-5/2))	$- \frac{1}{2} + \frac{1}{5} x - (\frac{2}{5} x - 27 (5 x - \frac{5}{2}))$
12329	Simplify	1/2-2	$\frac{1}{2} - 2$
12330	Simplify	1/2(ab(3/4(a^3b)-7/5*(ab^4)+6ab))	$\frac{1}{2} \cdot (a b (\frac{3}{4} \cdot (a^{3} b) - \frac{7}{5} \cdot (a b^{4}) + 6 a b))$
12331	Simplify	1/(2x)+3/x-1/(3y)	$\frac{1}{2 x} + \frac{3}{x} - \frac{1}{3 y}$
12332	Simplify	-1/3-(-2/9)	$- \frac{1}{3} - (- \frac{2}{9})$
12333	Simplify	-1/3*(3y+2)	$- \frac{1}{3} \cdot (3 y + 2)$
12334	Simplify	1/3*(y^2(9y^2-6y+1))	$\frac{1}{3} \cdot (y^{2} (9 y^{2} - 6 y + 1))$
12335	Simplify	1/4-2 cube root of -1/216	$\frac{1}{4} - 2 \sqrt[3]{- \frac{1}{216}}$
12336	Simplify	1/4(x2)/4	$\frac{1}{4} \cdot \frac{x \cdot 2}{4}$
12337	Simplify	-1/40x^2+3550x-20000	$- \frac{1}{40} x^{2} + 3550 x - 20000$
12338	Simplify	1/5000	$\frac{1}{5000}$
12339	Simplify	-1/6*(6y+5)	$- \frac{1}{6} \cdot (6 y + 5)$
12340	Simplify	1/635013559600	$\frac{1}{635013559600}$
12341	Simplify	1/x+1/y+1/z	$\frac{1}{x} + \frac{1}{y} + \frac{1}{z}$
12342	Simplify	1/(x-1)+1/(x-2)	$\frac{1}{x - 1} + \frac{1}{x - 2}$
12343	Simplify	1^3+2^3+3^3+(n^2(n+1)^2)/4	$1^{3} + 2^{3} + 3^{3} + \frac{n^{2} {(n + 1)}^{2}}{4}$
12344	Simplify	1+0.05/(2^2)-1	$1 + \frac{0.05}{2^{2}} - 1$
12345	Simplify	(10(uv^2)^3)/((5u)^3v^4)	$\frac{10 {(u v^{2})}^{3}}{{(5 u)}^{3} v^{4}}$
12346	Simplify	(10n^2+23n-5)/(3n^2+7n+2)*(4n^2+8n)/(2n^2+7n+5)	$\frac{10 n^{2} + 23 n - 5}{3 n^{2} + 7 n + 2} \cdot \frac{4 n^{2} + 8 n}{2 n^{2} + 7 n + 5}$
12347	Simplify	(10v^2+5v-15)/5	$\frac{10 v^{2} + 5 v - 15}{5}$
12348	Simplify	(10x^2)/(x^(1/3))	$\frac{10 x^{2}}{x^{\frac{1}{3}}}$
12349	Simplify	(-10x^3y^5)/(-5x^2y^6)	$\frac{- 10 x^{3} y^{5}}{- 5 x^{2} y^{6}}$
12350	Simplify	(10y^7+9y^4-4y^2)/(2y^3)	$\frac{10 y^{7} + 9 y^{4} - 4 y^{2}}{2 y^{3}}$
12351	Simplify	10/45	$\frac{10}{45}$
12352	Simplify	10^(-2x)	$10^{- 2 x}$
12353	Simplify	10^-3+10^6	$10^{- 3} + 10^{6}$
12354	Simplify	(1073.50+952.50)/19000*100	$\frac{1073.5 + 952.5}{19000} \cdot 100$
12355	Simplify	(10pi)/3*180/pi	$\frac{10 π}{3} \cdot \frac{180}{π}$
12356	Simplify	((11a^3b^5)/(4a^2b))÷((121a^5b)/(110a^4b^3))	$\frac{11 a^{3} b^{5}}{4 a^{2} b} \div \frac{121 a^{5} b}{110 a^{4} b^{3}}$
12357	Simplify	11/(5x-8)+x/2	$\frac{11}{5 x - 8} + \frac{x}{2}$
12358	Simplify	111/1 , 0 , 111 binary	$\frac{111}{1}$ , $0$ , $111$ binary
12359	Simplify	(12x^3+15x)/(3x^2)	$\frac{12 x^{3} + 15 x}{3 x^{2}}$
12360	Simplify	12/(a-1)-12/(1-a)	$\frac{12}{a - 1} - \frac{12}{1 - a}$
12361	Simplify	12^(c*8)	$12^{c \cdot 8}$
12362	Simplify	126/1716	$\frac{126}{1716}$
12363	Simplify	(13sin(h)+14cos(h))/(15sin(h)-16cos(h))	$\frac{13 \sin (h) + 14 \cos (h)}{15 \sin (h) - 16 \cos (h)}$
12364	Simplify	(145-150)/(16/( square root of 36))	$\frac{145 - 150}{\frac{16}{\sqrt{36}}}$
12365	Simplify	((r^(-3/4))/(s^(-2/3)))^12	${(\frac{r^{- \frac{3}{4}}}{s^{- \frac{2}{3}}})}^{12}$
12366	Simplify	((r^(5/6))/(r^(2/3)))^(4/7)	${(\frac{r^{\frac{5}{6}}}{r^{\frac{2}{3}}})}^{\frac{4}{7}}$
12367	Simplify	(( square root of 3)/2)^14-(1/2*i)^14	${(\frac{\sqrt{3}}{2})}^{14} - {(\frac{1}{2} \cdot i)}^{14}$
12368	Simplify	((v^2)/(2u^4))^5	${(\frac{v^{2}}{2 u^{4}})}^{5}$
12369	Simplify	((x^-2y^-3)/(x^-3y^4))^-2	${(\frac{x^{- 2} y^{- 3}}{x^{- 3} y^{4}})}^{- 2}$
12370	Simplify	((x^4)/(y^6))^(-1/2)	${(\frac{x^{4}}{y^{6}})}^{- \frac{1}{2}}$
12371	Simplify	((x^n)/(x^(n-2)))^3	${(\frac{x^{n}}{x^{n - 2}})}^{3}$
12372	Simplify	(1/2x-5)^2	${(\frac{1}{2} x - 5)}^{2}$
12373	Simplify	(1/3)^0(2/3)^6	${(\frac{1}{3})}^{0} {(\frac{2}{3})}^{6}$
12374	Simplify	(-1/3*(x^2y))^-3	${(- \frac{1}{3} \cdot (x^{2} y))}^{- 3}$
12375	Simplify	(1/h+1/a)/(1/(h^2)-1/(a^2))	$\frac{\frac{1}{h} + \frac{1}{a}}{\frac{1}{h^{2}} - \frac{1}{a^{2}}}$
12376	Simplify	(1/(x-11))^2+11	${(\frac{1}{x - 11})}^{2} + 11$
12377	Simplify	((1+i)/(1-i))^15	${(\frac{1 + i}{1 - i})}^{15}$
12378	Simplify	((2xy^3)/(z^-1))^-3(y^-3z^7)	${(\frac{2 x y^{3}}{z^{- 1}})}^{- 3} (y^{- 3} z^{7})$
12379	Simplify	(2/7)^0-32^(-2/5)	${(\frac{2}{7})}^{0} - 32^{- \frac{2}{5}}$
12380	Simplify	((2x)/(3y^5))^4	${(\frac{2 x}{3 y^{5}})}^{4}$
12381	Simplify	((3m^3)/(9n^2))^5	${(\frac{3 m^{3}}{9 n^{2}})}^{5}$
12382	Simplify	((3r^9s^-4)/(4r^-3s^5))^-3	${(\frac{3 r^{9} s^{- 4}}{4 r^{- 3} s^{5}})}^{- 3}$
12383	Simplify	((4ab^-3)/(5b))^3	${(\frac{4 a b^{- 3}}{5 b})}^{3}$
12384	Simplify	((4x^-1y^-40)/(2^-2z^4y^-10))^-2	${(\frac{4 x^{- 1} y^{- 40}}{2^{- 2} z^{4} y^{- 10}})}^{- 2}$
12385	Simplify	((4xy^4)/(yx^3))^-3	${(\frac{4 x y^{4}}{y x^{3}})}^{- 3}$
12386	Simplify	(5/(9i))^2	${(\frac{5}{9 i})}^{2}$
12387	Simplify	((-64x^3)/(y^-6))^(2/3)	${(\frac{- 64 x^{3}}{y^{- 6}})}^{\frac{2}{3}}$
12388	Simplify	((9x^-2)/(16y^4))^(1/2)	${(\frac{9 x^{- 2}}{16 y^{4}})}^{\frac{1}{2}}$
12389	Simplify	((a^2+3a-54)(a^2-9a-10))/((a^2+4a-60)(a^2+10a+9))	$\frac{(a^{2} + 3 a - 54) \cdot (a^{2} - 9 a - 10)}{(a^{2} + 4 a - 60) \cdot (a^{2} + 10 a + 9)}$
12390	Simplify	(a^9c^8)^-7	${(a^{9} c^{8})}^{- 7}$
12391	Simplify	(b^(-1/4)*c^(5/4))^2	${(b^{- \frac{1}{4}} \cdot c^{\frac{5}{4}})}^{2}$
12392	Simplify	(b^-3c^(4/3))^(1/4)	${(b^{- 3} c^{\frac{4}{3}})}^{\frac{1}{4}}$
12393	Simplify	(e^(2t)+2+e^(-2t))^2	${(e^{2 t} + 2 + e^{- 2 t})}^{2}$
12394	Simplify	(j^5k^7)^4	${(j^{5} k^{7})}^{4}$
12395	Simplify	(u^-7)^-4	${(u^{- 7})}^{- 4}$
12396	Simplify	( square root of 12+5 square root of 3)^2	${(\sqrt{12} + 5 \sqrt{3})}^{2}$
12397	Simplify	( square root of -448)/-64	$\frac{\sqrt{- 448}}{- 64}$
12398	Simplify	( square root of 5)^x-125	${(\sqrt{5})}^{x} - 125$
12399	Simplify	( fourth root of -16)^3	${(\sqrt[4]{- 16})}^{3}$
12400	Simplify	(x^(1/4)z^2)^(-3/5)	${(x^{\frac{1}{4}} z^{2})}^{- \frac{3}{5}}$