Mathway | Các bài toán phổ biến

Những bài toán phổ biến

Hạng	Chủ đề	Bài toán	Bài toán đã được định dạng
60101	Rút gọn	1/2+(2/3+3/4)-(4/5*5/6)	$\frac{1}{2} + (\frac{2}{3} + \frac{3}{4}) - (\frac{4}{5} \cdot \frac{5}{6})$
60102	Rút gọn	1/2+(3/9-3/10)	$\frac{1}{2} + (\frac{3}{9} - \frac{3}{10})$
60103	Rút gọn	-1/2+( căn bậc hai của 6)/2	$- \frac{1}{2} + \frac{\sqrt{6}}{2}$
60104	Rút gọn	1/2+1/2*(3 2/7+5/7)^2	$\frac{1}{2} + \frac{1}{2} \cdot {(3 \frac{2}{7} + \frac{5}{7})}^{2}$
60105	Rút gọn	1/2+1/2N-1/2	$\frac{1}{2} + \frac{1}{2} N - \frac{1}{2}$
60106	Rút gọn	1/2+1/(2n)-1/2	$\frac{1}{2} + \frac{1}{2 n} - \frac{1}{2}$
60107	Rút gọn	1/2+1/3+1/4	$\frac{1}{2} + \frac{1}{3} + \frac{1}{4}$
60108	Rút gọn	1/2+1/3+3/16	$\frac{1}{2} + \frac{1}{3} + \frac{3}{16}$
60109	Rút gọn	1/2+1/5	$\frac{1}{2} + \frac{1}{5}$
60110	Rút gọn	158.00+55.30	$158 + 55.3$
60111	Rút gọn	1/2+14/y	$\frac{1}{2} + \frac{14}{y}$
60112	Rút gọn	-1/2+2/3-3/4+n=0	$- \frac{1}{2} + \frac{2}{3} - \frac{3}{4} + n = 0$
60113	Rút gọn	1/2+2/5	$\frac{1}{2} + \frac{2}{5}$
60114	Rút gọn	1/2+3/4+3/16+1/16	$\frac{1}{2} + \frac{3}{4} + \frac{3}{16} + \frac{1}{16}$
60115	Rút gọn	1/2+3/5+8/16	$\frac{1}{2} + \frac{3}{5} + \frac{8}{16}$
60116	Rút gọn	1/2+3/8	$\frac{1}{2} + \frac{3}{8}$
60117	Rút gọn	1/2+7/3	$\frac{1}{2} + \frac{7}{3}$
60118	Rút gọn	1/2+ căn bậc hai của 3/2*i	$\frac{1}{2} + \sqrt{\frac{3}{2} \cdot i}$
60119	Rút gọn	1/2+1 1/2+1 3/4+1/2	$\frac{1}{2} + 1 \frac{1}{2} + 1 \frac{3}{4} + \frac{1}{2}$
60120	Rút gọn	1/-2+1 1/3	$\frac{1}{- 2} + 1 \frac{1}{3}$
60121	Rút gọn	(1/2)÷(1/2)	$\frac{1}{2} \div \frac{1}{2}$
60122	Rút gọn	(1/2)÷(1/3)	$\frac{1}{2} \div \frac{1}{3}$
60123	Rút gọn	(-1/2)÷(-2/5)	$- \frac{1}{2} \div (- \frac{2}{5})$
60124	Rút gọn	(-1/2)÷(-5/9)	$- \frac{1}{2} \div (- \frac{5}{9})$
60125	Rút gọn	(1/2)÷(1/3)+3/2*3/5	$\frac{1}{2} \div \frac{1}{3} + \frac{3}{2} \cdot \frac{3}{5}$
60126	Rút gọn	(y-5)^2+2(y+3)^2	${(y - 5)}^{2} + 2 {(y + 3)}^{2}$
60127	Rút gọn	(yz)^2	${(y z)}^{2}$
60128	Rút gọn	(z+13)^6(z^2+26z+175)	${(z + 13)}^{6} (z^{2} + 26 z + 175)$
60129	Rút gọn	((z+2)(z-2))/(z-2)	$\frac{(z + 2) (z - 2)}{z - 2}$
60130	Rút gọn	(z+3)/(z-6)+(z-1)/(z-2)*(6z)/(z^2-8z+12)	$\frac{z + 3}{z - 6} + \frac{z - 1}{z - 2} \cdot \frac{6 z}{z^{2} - 8 z + 12}$
60131	Rút gọn	((z+3)-9)/(13(z+3)-10)	$\frac{(z + 3) - 9}{13 (z + 3) - 10}$
60132	Rút gọn	(((z+4)(3z-11))/(z^2))÷(z+4)*(8z+1)/(z^2)	$\frac{(z + 4) (3 z - 11)}{z^{2}} \div (z + 4) \cdot \frac{8 z + 1}{z^{2}}$
60133	Rút gọn	(z+4)^2	${(z + 4)}^{2}$
60134	Rút gọn	(z+y)^3	${(z + y)}^{3}$
60135	Rút gọn	(z-1)^2-16	${(z - 1)}^{2} - 16$
60136	Rút gọn	(((z-2)(z+7))/(z^2+4))÷(z^2-49)	$\frac{(z - 2) (z + 7)}{z^{2} + 4} \div (z^{2} - 49)$
60137	Rút gọn	(z-3y)^2	${(z - 3 y)}^{2}$
60138	Rút gọn	(((z-4)(z+8))/(2z^8))÷((7z-28)/(14z^9))	$\frac{(z - 4) (z + 8)}{2 z^{8}} \div \frac{7 z - 28}{14 z^{9}}$
60139	Rút gọn	(Z-4)^2	${(Z - 4)}^{2}$
60140	Rút gọn	(z-7)^5	${(z - 7)}^{5}$
60141	Rút gọn	(z-e)^2	${(z - e)}^{2}$
60142	Rút gọn	(z-y)/5*60/(3(z-y))	$\frac{z - y}{5} \cdot \frac{60}{3 (z - y)}$
60143	Rút gọn	0.01475^(4t)	${0.01475}^{4 t}$
60144	Rút gọn	0.5/2.2	$\frac{0.5}{2.2}$
60145	Rút gọn	0.6/0.24	$\frac{0.6}{0.24}$
60146	Rút gọn	(((a^(1/2)a^(1/4))÷a)a^(3/2))^4	${((a^{\frac{1}{2}} \cdot a^{\frac{1}{4}} \div a) \cdot a^{\frac{3}{2}})}^{4}$
60147	Rút gọn	((a^-1+b^-1)(a^-1-b^-1))^-1	${((a^{- 1} + b^{- 1}) (a^{- 1} - b^{- 1}))}^{- 1}$
60148	Rút gọn	(a^-1+b^-1)^-1(a^-1-b^-1)^-1	${(a^{- 1} + b^{- 1})}^{- 1} {(a^{- 1} - b^{- 1})}^{- 1}$
60149	Rút gọn	((3k-y)-1)^2	${((3 k - y) - 1)}^{2}$
60150	Rút gọn	((--4 1/2)÷(-5 2/5))^2	${(- - 4 \frac{1}{2} \div (- 5 \frac{2}{5}))}^{2}$
60151	Rút gọn	((7*-2)+2y)^2	${((7 \cdot - 2) + 2 y)}^{2}$
60152	Rút gọn	((7^n)^-1(14^n)^6)/((1287^4)^n)	$\frac{{(7^{n})}^{- 1} \cdot {(14^{n})}^{6}}{{(128 \cdot 7^{4})}^{n}}$
60153	Trừ	9-15	$9 - 15$
60154	Rút gọn	((2z-1)^2-1)^2	${({(2 z - 1)}^{2} - 1)}^{2}$
60155	Rút gọn	((-3n^-4y^-2)^-3)^-2	${({(- 3 n^{- 4} y^{- 2})}^{- 3})}^{- 2}$
60156	Rút gọn	(((4n)/e)^(4n))^2	${({(\frac{4 n}{e})}^{4 n})}^{2}$
60157	Rút gọn	((5m^4n^-2)^-1)^-3	${({(5 m^{4} n^{- 2})}^{- 1})}^{- 3}$
60158	Rút gọn	((b+2)^8)^3	${({(b + 2)}^{8})}^{3}$
60159	Rút gọn	(((-3ay^2)^3(a^2y))/((3a^2)^2y^5))^3	${(\frac{{(- 3 a y^{2})}^{3} (a^{2} y)}{{(3 a^{2})}^{2} y^{5}})}^{3}$
60160	Rút gọn	((-2y^2)/y)^6	${(\frac{- 2 y^{2}}{y})}^{6}$
60161	Rút gọn	((m^-3m^-7)/((m^-4)^-3))^5	${(\frac{m^{- 3} m^{- 7}}{{(m^{- 4})}^{- 3}})}^{5}$
60162	Rút gọn	((12ny^4)/(16n^(-3y^5)))^-2	${(\frac{12 n y^{4}}{16 n^{- 3 y^{5}}})}^{- 2}$
60163	Rút gọn	((-16a^5b^7)/((2a^-2b)(ab^-2)))^2	${(\frac{- 16 a^{5} b^{7}}{(2 a^{- 2} b) (a b^{- 2})})}^{2}$
60164	Rút gọn	((27p^2y^3z^-3)/(8p^5y^-2z^2))^-4	${(\frac{27 p^{2} y^{3} z^{- 3}}{8 p^{5} y^{- 2} z^{2}})}^{- 4}$
60165	Rút gọn	((3u+6)/(u+5))/((u+2)/(5u))	$\frac{\frac{3 u + 6}{u + 5}}{\frac{u + 2}{5 u}}$
60166	Rút gọn	((7p^2q^4)/(8r^2s^3))^3*((12p^5s^7)/(21p^5q^3s^4))^3	${(\frac{7 p^{2} q^{4}}{8 r^{2} s^{3}})}^{3} \cdot {(\frac{12 p^{5} s^{7}}{21 p^{5} q^{3} s^{4}})}^{3}$
60167	Rút gọn	(5s^4)^2	${(5 s^{4})}^{2}$
60168	Rút gọn	(5ab+2a(2b))^3+(1/3(ab))^2(ab)+3/2(a^2b(1/3(ab^2)))-1/9(a^3b^3)	${(5 a b + 2 a (2 b))}^{3} + {(\frac{1}{3} \cdot (a b))}^{2} (a b) + \frac{3}{2} \cdot (a^{2} b (\frac{1}{3} \cdot (a b^{2}))) - \frac{1}{9} \cdot (a^{3} b^{3})$
60169	Rút gọn	(-6(p+q)^9)^(2/3)	${(- 6 {(p + q)}^{9})}^{\frac{2}{3}}$
60170	Rút gọn	((61(1+h)-0.83(1+h)^2)-60.17)/h	$\frac{(61 (1 + h) - 0.83 {(1 + h)}^{2}) - 60.17}{h}$
60171	Rút gọn	((z^3y^-4)^-2)/((4z^-5y^4)^3)	$\frac{{(z^{3} y^{- 4})}^{- 2}}{{(4 z^{- 5} y^{4})}^{3}}$
60172	Rút gọn	((\|10-7.15\|-0.5)^2)/7.15	$\frac{{(\| 10 - 7.15 \| - 0.5)}^{2}}{7.15}$
60173	Rút gọn	((3^-1a^4b^-3)^-2)/((6a^2b^-1c^-2)^2)	$\frac{{(3^{- 1} a^{4} b^{- 3})}^{- 2}}{{(6 a^{2} b^{- 1} c^{- 2})}^{2}}$
60174	Rút gọn	((4a^-4y^3)^2)/((6a^-10y^5)^3)	$\frac{{(4 a^{- 4} y^{3})}^{2}}{{(6 a^{- 10} y^{5})}^{3}}$
60175	Rút gọn	((6^0g^4)^5)/((2g^2)^2)	$\frac{{(6^{0} g^{4})}^{5}}{{(2 g^{2})}^{2}}$
60176	Rút gọn	((7/4)^6)/16a*6	$\frac{{(\frac{7}{4})}^{6}}{16} a \cdot 6$
60177	Rút gọn	((a^(1/2)s^(6/9))^18)/(a^6)	$\frac{{(a^{\frac{1}{2}} s^{\frac{6}{9}})}^{18}}{a^{6}}$
60178	Rút gọn	((A^3)^7)/((B^4)^5)	$\frac{{(A^{3})}^{7}}{{(B^{4})}^{5}}$
60179	Rút gọn	((a^5)^(1/2))/(a^(9/2))	$\frac{{(a^{5})}^{\frac{1}{2}}}{a^{\frac{9}{2}}}$
60180	Rút gọn	((a^-5)^3)/(a^-5)	$\frac{{(a^{- 5})}^{3}}{a^{- 5}}$
60181	Rút gọn	((a^5)^4)/(a^4)	$\frac{{(a^{5})}^{4}}{a^{4}}$
60182	Rút gọn	((a^-5b^4)^-3)/((3a^5b^-3)^2)	$\frac{{(a^{- 5} b^{4})}^{- 3}}{{(3 a^{5} b^{- 3})}^{2}}$
60183	Rút gọn	((-b^2)^3)/((-b^2)^2)	$\frac{{(- b^{2})}^{3}}{{(- b^{2})}^{2}}$
60184	Rút gọn	((k^2)^-2(p^3)(12z^4))/(p^2(3k^3)(4z^3))	$\frac{{(k^{2})}^{- 2} \cdot (p^{3}) \cdot (12 z^{4})}{p^{2} \cdot (3 k^{3}) \cdot (4 z^{3})}$
60185	Rút gọn	((m^2)^2m)/(m^2)	$\frac{{(m^{2})}^{2} m}{m^{2}}$
60186	Rút gọn	((m^2)^(2m))/(m^2)	$\frac{{(m^{2})}^{2 m}}{m^{2}}$
60187	Rút gọn	((m^3)^6m)/(m^9)	$\frac{{(m^{3})}^{6} m}{m^{9}}$
60188	Rút gọn	((m^-3n^5)^2)/(3(mn^3)^-3)	$\frac{{(m^{- 3} n^{5})}^{2}}{3 {(m n^{3})}^{- 3}}$
60189	Rút gọn	((m^5n^-2)^6)/(m^4n^-3)	$\frac{{(m^{5} n^{- 2})}^{6}}{m^{4} n^{- 3}}$
60190	Rút gọn	((m^7n^3)^3)/(m^14n^21)	$\frac{{(m^{7} n^{3})}^{3}}{m^{14} n^{21}}$
60191	Rút gọn	((p^4)^5(p^5)^2)/((p^5)^4)	$\frac{{(p^{4})}^{5} {(p^{5})}^{2}}{{(p^{5})}^{4}}$
60192	Rút gọn	((r^(1/3)s^(2/7))^21)/(r^2)	$\frac{{(r^{\frac{1}{3}} s^{\frac{2}{7}})}^{21}}{r^{2}}$
60193	Rút gọn	((r^(1/4)y^(3/9))^36)/(r^3)	$\frac{{(r^{\frac{1}{4}} y^{\frac{3}{9}})}^{36}}{r^{3}}$
60194	Rút gọn	((rs^3)^3)/((r^-2s^3)^2)	$\frac{{(r s^{3})}^{3}}{{(r^{- 2} s^{3})}^{2}}$
60195	Rút gọn	((u^2)^5)/((-2v^4)^5)	$\frac{{(u^{2})}^{5}}{{(- 2 v^{4})}^{5}}$
60196	Làm tròn đến Hàng Phần Trăm	5.75	$5.75$
60197	Rút gọn	((-u^3n^-5)^-4)/((un)^-1)	$\frac{{(- u^{3} n^{- 5})}^{- 4}}{{(u n)}^{- 1}}$
60198	Rút gọn	(v^6y^6)/((z^6)^6)	$\frac{v^{6} y^{6}}{{(z^{6})}^{6}}$
60199	Rút gọn	((y^2)^3)/(y^10)	$\frac{{(y^{2})}^{3}}{y^{10}}$
60200	Rút gọn	((y^3)^3)/(y^11)	$\frac{{(y^{3})}^{3}}{y^{11}}$