Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
60301	Simplify	10^2*10^5	$10^{2} \cdot 10^{5}$
60302	Simplify	((10^2+42b+36)/(6b^2-2b-60))÷((40b+48)/(3b^2-13b+10))	$\frac{10^{2} + 42 b + 36}{6 b^{2} - 2 b - 60} \div \frac{40 b + 48}{3 b^{2} - 13 b + 10}$
60303	Simplify	(10^2-3(5((2+24)/(6-3/3)4+2)))/((3+4-2)^2-2^2(122-45)*1^8)	$\frac{10^{2} - 3 (5 (\frac{2 + 2 \cdot 4}{6 - \frac{3}{3}} \cdot 4 + 2))}{{(3 + 4 - 2)}^{2} - 2^{2} (12 \cdot 2 - 4 \cdot 5) \cdot 1^{8}}$
60304	Simplify	(10^4)/(10^-1)	$\frac{10^{4}}{10^{- 1}}$
60305	Simplify	(10^5)/(10^-7)	$\frac{10^{5}}{10^{- 7}}$
60306	Simplify	((10a^3)/(6b^2c^4))÷((15a)/(20bc^2))	$\frac{10 a^{3}}{6 b^{2} c^{4}} \div \frac{15 a}{20 b c^{2}}$
60307	Simplify	(11^16)/(11^19)	$\frac{11^{16}}{11^{19}}$
60308	Simplify	((15y^-7)/(22y^5))/((9y^-5)/(4y^-2))	$\frac{\frac{15 y^{- 7}}{22 y^{5}}}{\frac{9 y^{- 5}}{4 y^{- 2}}}$
60309	Simplify	((15z^2+25)/(z-4))/(6z^2+10/(z-4))	$\frac{\frac{15 z^{2} + 25}{z - 4}}{6 z^{2} + \frac{10}{z - 4}}$
60310	Simplify	(15/1)/1 8/17	$\frac{\frac{15}{1}}{1 \frac{8}{17}}$
60311	Simplify	((156^2y^3)/(4y))÷((5b)/(2y))	$\frac{156^{2} y^{3}}{4 y} \div \frac{5 b}{2 y}$
60312	Simplify	cube root of 125x^7	$\sqrt[3]{125 x^{7}}$
60313	Evaluate	23.1462+23.14*6^2	$2 \cdot 3.14 \cdot 6 \cdot 2 + 2 \cdot 3.14 \cdot 6^{2}$
60314	Simplify	(18/(h-9)+h/(h-5))/(4/(h-10)-3/(h-9))	$\frac{\frac{18}{h - 9} + \frac{h}{h - 5}}{\frac{4}{h - 10} - \frac{3}{h - 9}}$
60315	Simplify	(18^(p^2))/(q^3)*q/(10^(p^2))	$\frac{18^{p^{2}}}{q^{3}} \cdot \frac{q}{10^{p^{2}}}$
60316	Simplify	((2.88^(1/2))/(2^(1/2)))÷((0.09)^(3/2))	$\frac{{2.88}^{\frac{1}{2}}}{2^{\frac{1}{2}}} \div {(0.09)}^{\frac{3}{2}}$
60317	Simplify	((2a^2+12a)/(a+6))/((a+3)/10)	$\frac{\frac{2 a^{2} + 12 a}{a + 6}}{\frac{a + 3}{10}}$
60318	Simplify	((2r^4t^2)/(5r^2t^5))/(3r)	$\frac{\frac{2 r^{4} t^{2}}{5 r^{2} t^{5}}}{3 r}$
60319	Simplify	((2z^3)/(z^2-9))/((z^6)/((z+3)^2))	$\frac{\frac{2 z^{3}}{z^{2} - 9}}{\frac{z^{6}}{{(z + 3)}^{2}}}$
60320	Simplify	2/(5^3)	$\frac{2}{5^{3}}$
60321	Simplify	(2^-1y^6)/(2^2y^-4)	$\frac{2^{- 1} y^{6}}{2^{2} y^{- 4}}$
60322	Simplify	(2^n8^n)/(2^(2n)16)	$\frac{2^{n} \cdot 8^{n}}{2^{2 n} \cdot 16}$
60323	Simplify	((2^(n+1))/((2^n)^n2^-1))÷((22^(n+1))/((2^(n-1))^(n+1)))	$\frac{2^{n + 1}}{{(2^{n})}^{n} \cdot 2^{- 1}} \div \frac{2 \cdot 2^{n + 1}}{{(2^{n - 1})}^{n + 1}}$
60324	Simplify	((21n^5)/(3p^5q^2))/((7mn^3)/(9p^2q))	$\frac{\frac{21 n^{5}}{3 p^{5} q^{2}}}{\frac{7 m n^{3}}{9 p^{2} q}}$
60325	Simplify	(21/40)/(9/28)	$\frac{\frac{21}{40}}{\frac{9}{28}}$
60326	Simplify	((25b^4C^3)/(11b))/((5bc^4)/(c^2))	$\frac{\frac{25 b^{4} C^{3}}{11 b}}{\frac{5 b c^{4}}{c^{2}}}$
60327	Simplify	-(26/3)/10	$- \frac{\frac{26}{3}}{10}$
60328	Simplify	((28^3)/18)÷(2/(9y^2))	$\frac{28^{3}}{18} \div \frac{2}{9 y^{2}}$
60329	Simplify	(2a^2-2)/(10a^2-160)*(50a+200)/(5a-5)	$\frac{2 a^{2} - 2}{10 a^{2} - 160} \cdot \frac{50 a + 200}{5 a - 5}$
60330	Simplify	(2c^4)/3*c/5	$\frac{2 c^{4}}{3} \cdot \frac{c}{5}$
60331	Simplify	(2p^2-p+5)/(3p^3-12p)	$\frac{2 p^{2} - p + 5}{3 p^{3} - 12 p}$
60332	Simplify	((2r^2-3s)/12)÷(4r^2-12rs+9s^2)	$\frac{2 r^{2} - 3 s}{12} \div (4 r^{2} - 12 r s + 9 s^{2})$
60333	Simplify	(2u^2-16u+24)/(u^2-7u+6)	$\frac{2 u^{2} - 16 u + 24}{u^{2} - 7 u + 6}$
60334	Simplify	((2y)/5)/((6y+12)/(5y+1))	$\frac{\frac{2 y}{5}}{\frac{6 y + 12}{5 y + 1}}$
60335	Simplify	(2y^2-9y-13)/(y^2+4y+3)-y/(y+1)+12/(y+3)	$\frac{2 y^{2} - 9 y - 13}{y^{2} + 4 y + 3} - \frac{y}{y + 1} + \frac{12}{y + 3}$
60336	Simplify	((3c^4d^3)/(20b^3))/((6c^2d)/(5ab^2))	$\frac{\frac{3 c^{4} d^{3}}{20 b^{3}}}{\frac{6 c^{2} d}{5 a b^{2}}}$
60337	Simplify	((3k^2-2k-1)/(3k^2+14k+11))/((9k^2-1)/(3k^2+8k-11))	$\frac{\frac{3 k^{2} - 2 k - 1}{3 k^{2} + 14 k + 11}}{\frac{9 k^{2} - 1}{3 k^{2} + 8 k - 11}}$
60338	Simplify	((3mn^2)/(21v^2y))/((9n^5)/(7v^3y^2))	$\frac{\frac{3 m n^{2}}{21 v^{2} y}}{\frac{9 n^{5}}{7 v^{3} y^{2}}}$
60339	Simplify	(3/12)/(1/3)	$\frac{\frac{3}{12}}{\frac{1}{3}}$
60340	Simplify	(3/4-9/8)/(1/10+12/5)	$\frac{\frac{3}{4} - \frac{9}{8}}{\frac{1}{10} + \frac{12}{5}}$
60341	Simplify	(3/5-5/3)/(1/n)	$\frac{\frac{3}{5} - \frac{5}{3}}{\frac{1}{n}}$
60342	Simplify	(3/n)/(5/n)	$\frac{\frac{3}{n}}{\frac{5}{n}}$
60343	Simplify	(3^(2/5)y^(-1/4)z^(2/5))/(3^(-8/5)y^(7/4))	$\frac{3^{\frac{2}{5}} y^{- \frac{1}{4}} z^{\frac{2}{5}}}{3^{- \frac{8}{5}} y^{\frac{7}{4}}}$
60344	Simplify	(3^-1+5^-1)/(2^-1)	$\frac{3^{- 1} + 5^{- 1}}{2^{- 1}}$
60345	Simplify	(3^-2)/(3^-3)(2^-2)/(2^-2)(3^4)/(2^-5)(2^4)/(3^5)(2^-3)/(3^2)	$\frac{3^{- 2}}{3^{- 3}} \cdot \frac{2^{- 2}}{2^{- 2}} \cdot \frac{3^{4}}{2^{- 5}} \cdot \frac{2^{4}}{3^{5}} \cdot \frac{2^{- 3}}{3^{2}}$
60346	Simplify	(3^2)/(3^6)	$\frac{3^{2}}{3^{6}}$
60347	Simplify	(3^(-3-n)+33^(2-n)-93^(1-n))/(9*3^(2-n))	$\frac{3^{- 3 - n} + 3 \cdot 3^{2 - n} - 9 \cdot 3^{1 - n}}{9 \cdot 3^{2 - n}}$
60348	Simplify	(3^(4n^2)+3^(3n^2))/(3^(2*n^2)+3^2)	$\frac{3^{4 \cdot n^{2}} + 3^{3 \cdot n^{2}}}{3^{2 \cdot n^{2}} + 3^{2}}$
60349	Simplify	(3^(n+1))/(5^(n+1))*(5^n)/(3^n)	$\frac{3^{n + 1}}{5^{n + 1}} \cdot \frac{5^{n}}{3^{n}}$
60350	Simplify	(3^(n+2)*3^3)/(3.3^(n+1))	$\frac{3^{n + 2} \cdot 3^{3}}{{3.3}^{n + 1}}$
60351	Simplify	(389/4)/2334	$\frac{\frac{389}{4}}{2334}$
60352	Simplify	(3wy^-2)/((w^-1y)^3)	$\frac{3 w y^{- 2}}{{(w^{- 1} y)}^{3}}$
60353	Simplify	((3y)/8)/((7z)/4)	$\frac{\frac{3 y}{8}}{\frac{7 z}{4}}$
60354	Simplify	(3y^2-3)/(y^2+8y+7)	$\frac{3 y^{2} - 3}{y^{2} + 8 y + 7}$
60355	Simplify	(3y^2-9y-84)/(y^2-8y+7)	$\frac{3 y^{2} - 9 y - 84}{y^{2} - 8 y + 7}$
60356	Simplify	(3z^2-3)/(15z^2-15)*(75z+75)/(5z-5)	$\frac{3 z^{2} - 3}{15 z^{2} - 15} \cdot \frac{75 z + 75}{5 z - 5}$
60357	Simplify	(-4m^5n^4)/((24mn^-7)^-2)	$\frac{- 4 m^{5} n^{4}}{{(24 m n^{- 7})}^{- 2}}$
60358	Simplify	((4w^2-8w)/(w^2-7w-18))÷((w-2)/(w+2))	$\frac{4 w^{2} - 8 w}{w^{2} - 7 w - 18} \div \frac{w - 2}{w + 2}$
60359	Simplify	(4/15)/(3/5)	$\frac{\frac{4}{15}}{\frac{3}{5}}$
60360	Simplify	(4/3(p(3)^3))/(4/3(p(9)^3))	$\frac{\frac{4}{3} \cdot (p {(3)}^{3})}{\frac{4}{3} \cdot (p {(9)}^{3})}$
60361	Simplify	(4/5)/(2/25-5/16)	$\frac{\frac{4}{5}}{\frac{2}{25} - \frac{5}{16}}$
60362	Simplify	(4/(r+y))/(m/(r+y))	$\frac{\frac{4}{r + y}}{\frac{m}{r + y}}$
60363	Simplify	(4^11)/(4^7)	$\frac{4^{11}}{4^{7}}$
60364	Simplify	(4^-3a^8b^6)/(5^-2a^3b^-9)	$\frac{4^{- 3} a^{8} b^{6}}{5^{- 2} a^{3} b^{- 9}}$
60365	Simplify	(4^5)/(2^3)	$\frac{4^{5}}{2^{3}}$
60366	Simplify	(4^7)/(4^5)	$\frac{4^{7}}{4^{5}}$
60367	Simplify	(4^(a+6)-4^(a+2))/(4^(a+1))	$\frac{4^{a + 6} - 4^{a + 2}}{4^{a + 1}}$
60368	Simplify	(40j)/(1+4j)	$\frac{40 j}{1 + 4 j}$
60369	Simplify	((49y+21)/(6y))/((42y+18)/6)	$\frac{\frac{49 y + 21}{6 y}}{\frac{42 y + 18}{6}}$
60370	Simplify	(4a^-4)/5	$\frac{4 a^{- 4}}{5}$
60371	Simplify	((4t+9)/(t+6))/(16t^2-81)	$\frac{\frac{4 t + 9}{t + 6}}{16 t^{2} - 81}$
60372	Simplify	((4z-20)/(25z^5))/((3z-15)/(5z^4))	$\frac{\frac{4 z - 20}{25 z^{5}}}{\frac{3 z - 15}{5 z^{4}}}$
60373	Simplify	((5y^2-34y-7)/(y+2))/((5y^2+11y+2)/(y^2+4y+4))	$\frac{\frac{5 y^{2} - 34 y - 7}{y + 2}}{\frac{5 y^{2} + 11 y + 2}{y^{2} + 4 y + 4}}$
60374	Simplify	(5/6)/9	$\frac{\frac{5}{6}}{9}$
60375	Simplify	(5/6-2(-1 3/4))/5 1/5	$\frac{\frac{5}{6} - 2 (- 1 \frac{3}{4})}{5 \frac{1}{5}}$
60376	Simplify	(5/8)/1 1/4	$\frac{\frac{5}{8}}{1 \frac{1}{4}}$
60377	Simplify	(5/9)/4 1/5	$\frac{\frac{5}{9}}{4 \frac{1}{5}}$
60378	Simplify	(5^-2y^-6)/((2y^-7)^2)	$\frac{5^{- 2} y^{- 6}}{{(2 y^{- 7})}^{2}}$
60379	Simplify	(5^(2n)*9^(4n))/(15^(3n+1))	$\frac{5^{2 n} \cdot 9^{4 n}}{15^{3 n + 1}}$
60380	Simplify	(5^3)/2	$\frac{5^{3}}{2}$
60381	Simplify	(5^(4n)*25^(3n))/(125^(2n-3))	$\frac{5^{4 n} \cdot 25^{3 n}}{125^{2 n - 3}}$
60382	Simplify	(5+(1-2a+8)^2)/2*(-2a+8)	$\frac{5 + {(1 - 2 a + 8)}^{2}}{2} \cdot (- 2 a + 8)$
60383	Simplify	((5a-35)/3)/((a-7)/21)	$\frac{\frac{5 a - 35}{3}}{\frac{a - 7}{21}}$
60384	Simplify	((5t)/w)/(15t)	$\frac{\frac{5 t}{w}}{15 t}$
60385	Simplify	((6b^5)/(5c^5d^3))/((3ab^2)/(20c^3d))	$\frac{\frac{6 b^{5}}{5 c^{5} d^{3}}}{\frac{3 a b^{2}}{20 c^{3} d}}$
60386	Simplify	((6q^2)/(5pi))/((9pi)/(20q))	$\frac{\frac{6 q^{2}}{5 π}}{\frac{9 π}{20 q}}$
60387	Simplify	(-6^2+4^2)/(28-\|6-9\|)	$\frac{- 6^{2} + 4^{2}}{28 - \| 6 - 9 \|}$
60388	Simplify	((6^2+7a-3)/(2a^2-a-6))÷((a+5)/(a-2))	$\frac{6^{2} + 7 a - 3}{2 a^{2} - a - 6} \div \frac{a + 5}{a - 2}$
60389	Simplify	(6^(3 square root of 54n^5))/(2^3 square root of 2n)	$\frac{6^{3 \sqrt{54 n^{5}}}}{2^{3} \sqrt{2 n}}$
60390	Simplify	(6^5)/(6^-2)	$\frac{6^{5}}{6^{- 2}}$
60391	Simplify	((6a)/(y^2))/((3y)/5)	$\frac{\frac{6 a}{y^{2}}}{\frac{3 y}{5}}$
60392	Simplify	(6y^3z)/(2yz^2)	$\frac{6 y^{3} z}{2 y z^{2}}$
60393	Simplify	((7rs^3)/(10t^3u))/((21s^4)/(5t^4u^4))	$\frac{\frac{7 r s^{3}}{10 t^{3} u}}{\frac{21 s^{4}}{5 t^{4} u^{4}}}$
60394	Simplify	((7z^4)/(24y^5))/((21z)/(12y^4))	$\frac{\frac{7 z^{4}}{24 y^{5}}}{\frac{21 z}{12 y^{4}}}$
60395	Simplify	(7/80)/(1/10*7/8)	$\frac{\frac{7}{80}}{\frac{1}{10} \cdot \frac{7}{8}}$
60396	Simplify	-7/(9^2)+2/9	$- \frac{7}{9^{2}} + \frac{2}{9}$
60397	Simplify	((7n+49)/(7n+42))/(1/(n+6))	$\frac{\frac{7 n + 49}{7 n + 42}}{\frac{1}{n + 6}}$
60398	Simplify	((7y)/(y^2-36))/((4y-20)/(2y+12))	$\frac{\frac{7 y}{y^{2} - 36}}{\frac{4 y - 20}{2 y + 12}}$
60399	Simplify	(7y^3)/2	$\frac{7 y^{3}}{2}$
60400	Simplify	((7y-63)/22)/((y-9)/55)	$\frac{\frac{7 y - 63}{22}}{\frac{y - 9}{55}}$