Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214401	Write in Standard Form	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \cdot 10^{- 5})}{(7.8 \cdot 10^{- 8})}$
214402	Evaluate	(-6)^-21*(-6)^18	${(- 6)}^{- 21} \cdot {(- 6)}^{18}$
214403	Find the Parabola with Focus (5,6) and Directrix x=-2	focus (5,6) ; directrix x=-2	focus $(5, 6)$ ; directrix $x = - 2$
214404	Multiply	(5a)/(5a+5)*(10a+10)	$\frac{5 a}{5 a + 5} \cdot (10 a + 10)$
214405	Divide	(500x^9y^6z^4)/(50x^5y^3z^2)	$\frac{500 x^{9} y^{6} z^{4}}{50 x^{5} y^{3} z^{2}}$
214406	Simplify	square root of 3v(2 square root of 15v- square root of 6)	$\sqrt{3 v} (2 \sqrt{15 v} - \sqrt{6})$
214407	Graph	x<2 y>3	$x < 2$ $y > 3$
214408	Solve the System of Equations	4-0.8x=0.5y -y+0.3x=1.1	$4 - 0.8 x = 0.5 y$ $- y + 0.3 x = 1.1$
214409	Solve for x	(1/49)^(x+2)=(7)^(x-3)	${(\frac{1}{49})}^{x + 2} = {(7)}^{x - 3}$
214410	Simplify	f+f+8f	$f + f + 8 f$
214411	Solve for a	-1/4+3/4a=-(-7/4a-1)	$- \frac{1}{4} + \frac{3}{4} a = - (- \frac{7}{4} a - 1)$
214412	Simplify	1/27y^9-27/1000x^12	$\frac{1}{27} y^{9} - \frac{27}{1000} x^{12}$
214413	Write in Standard Form	(x^2+2x-3)(3x^2-2x+4)	$(x^{2} + 2 x - 3) (3 x^{2} - 2 x + 4)$
214414	Convert to Scientific Notation	(10^-15)/(3.9*10^-7)	$\frac{10^{- 15}}{3.9 \times 10^{- 7}}$
214415	Simplify	square root of -12*2i square root of -9	$\sqrt{- 12} \cdot 2 i \sqrt{- 9}$
214416	Solve for x	x-xe^(5x+2)=0	$x - x e^{5 x + 2} = 0$
214417	Factor by Grouping	22c+33d	$22 c + 33 d$
214418	Divide	(-3/2)÷(7/4)	$- \frac{3}{2} \div \frac{7}{4}$
214419	Simplify	(x^9yz^4)^5 ?	${(x^{9} y z^{4})}^{5}$ ?
214420	Simplify	cube root of -125* fourth root of 16	$\sqrt[3]{- 125} \cdot \sqrt[4]{16}$
214421	Solve for z	-5z+1<-14	$- 5 z + 1 < - 14$
214422	Find the x and y Intercepts	f(x) = log base 1/3 of x+1-2	$f (x) = \log_{\frac{1}{3}} (x + 1) - 2$
214423	Simplify the Radical Expression	((2^-10)/(4^2))^7	${(\frac{2^{- 10}}{4^{2}})}^{7}$
214424	Solve for z	square root of z+5+4<=13	$\sqrt{z + 5} + 4 \leq 13$
214425	Solve for x	x(x+1)-x^2+8=0	$x (x + 1) - x^{2} + 8 = 0$
214426	Simplify	((2+i)^2(-i))/(1+i)	$\frac{{(2 + i)}^{2} (- i)}{1 + i}$
214427	Find the Domain and Range	g(x)=-2sec(3x+4)+1	$g (x) = - 2 \sec (3 x + 4) + 1$
214428	Find the Roots (Zeros)	f(x)=8x^7(x^2+x-12)	$f (x) = 8 x^{7} (x^{2} + x - 12)$
214429	Solve for x	log base 4 of 4x+2 log base 4 of x=4	$\log_{4} (4 x) + 2 \log_{4} (x) = 4$
214430	Solve for x	square root of 8x^2-72=5	$\sqrt{8 x^{2} - 72} = 5$
214431	Find the Domain and Range	y=sin(x-pi/2)	$y = \sin (x - \frac{π}{2})$
214432	Simplify	(x^(1/2+1))/(1/2+1)	$\frac{x^{\frac{1}{2} + 1}}{\frac{1}{2} + 1}$
214433	Factor	3x^3y^2z+6x^2y	$3 x^{3} y^{2} z + 6 x^{2} y$
214434	Solve the System of Equations	8x-1/3y=0 12x+3=y	$8 x - \frac{1}{3} y = 0$ $12 x + 3 = y$
214435	Write in Standard Form	(x^2-4x-4)(x^2-2x+2)	$(x^{2} - 4 x - 4) (x^{2} - 2 x + 2)$
214436	Divide	(51/7)÷(-7)	$\frac{51}{7} \div (- 7)$
214437	Graph	y<=2x+3 3x+y<=-2	$y \leq 2 x + 3$ $3 x + y \leq - 2$
214438	Divide	(8p^6+12p^9)/(2p^3)	$\frac{8 p^{6} + 12 p^{9}}{2 p^{3}}$
214439	Solve the System of Inequalities	-x-6<=-3 or -4x+3>-1	$- x - 6 \leq - 3$ or $- 4 x + 3 > - 1$
214440	Evaluate	( fourth root of -52)^5	${(\sqrt[4]{- 52})}^{5}$
214441	Simplify the Radical Expression	fourth root of (2m^7)/(625n^4)	$\sqrt[4]{\frac{2 m^{7}}{625 n^{4}}}$
214442	Find the Product	square root of 3* square root of 2	$\sqrt{3} \cdot \sqrt{2}$
214443	Solve the System of Equations	4x^2+25y^2=100 y=x+2	$4 x^{2} + 25 y^{2} = 100$ $y = x + 2$
214444	Solve for x	\|3x-4\|=2.5 square root of 3-x	$\| 3 x - 4 \| = 2.5 \sqrt{3 - x}$
214445	Simplify	(6x^2+11x-2)/(4x^2-3x-1)*(5x^2-3x-2)/(3x^2+7x+2)	$\frac{6 x^{2} + 11 x - 2}{4 x^{2} - 3 x - 1} \cdot \frac{5 x^{2} - 3 x - 2}{3 x^{2} + 7 x + 2}$
214446	Solve for x	log base (5/2) of x=-3	$\log_{(\frac{5}{2})} (x) = - 3$
214447	Simplify the Radical Expression	(2+ square root of 6)(2- square root of 6)	$(2 + \sqrt{6}) (2 - \sqrt{6})$
214448	Evaluate	(sec(theta))/(cos(theta))	$\frac{\sec (θ)}{\cos (θ)}$
214449	Simplify	-2x-3xx	$- 2 x \cdot - 3 x \cdot x$
214450	Solve for w	4(w-6)<=-12	$4 (w - 6) \leq - 12$
214451	Evaluate	square root of 3x+28-8=x	$\sqrt{3 x + 28} - 8 = x$
214452	Solve for h	256=4h^6	$256 = 4 h^{6}$
214453	Solve the Rational Equation for x	(x^2+20)/(x(x-2))=(14-x)/(x-2)	$\frac{x^{2} + 20}{x (x - 2)} = \frac{14 - x}{x - 2}$
214454	Solve the Inequality for x	5\|x+5\|+2>=42	$5 \| x + 5 \| + 2 \geq 42$
214455	Evaluate	8^(x-1)=2^(x+2)	$8^{x - 1} = 2^{x + 2}$
214456	Find the Exact Value	tan(arcsin(1)-arccos(1/2))	$\tan (\arcsin (1) - \arccos (\frac{1}{2}))$
214457	Solve for x	log base (3/5) of x=-3	$\log_{(\frac{3}{5})} (x) = - 3$
214458	Evaluate	5/6(3)^1	$\frac{5}{6} {(3)}^{1}$
214459	Solve Using the Quadratic Formula	27x^2+bx+3=0	$27 x^{2} + b x + 3 = 0$
214460	Simplify the Radical Expression	square root of 144xy^2z^3	$\sqrt{144 x y^{2} z^{3}}$
214461	Evaluate	(-2x)^-1	${(- 2 x)}^{- 1}$
214462	Solve the Absolute Value Inequality for x	\|x-3\|+1=0	$\| x - 3 \| + 1 = 0$
214463	Solve for x	x+2=(6x-3)/x	$x + 2 = \frac{6 x - 3}{x}$
214464	Simplify	( cube root of 256)^4	${(\sqrt[3]{256})}^{4}$
214465	Find the LCM	5 and 20	$5$ and $20$
214466	Simplify	2x sixth root of x^8	$2 x \sqrt[6]{x^{8}}$
214467	Solve for x	cube root of 4x+5=1/2	$\sqrt[3]{4 x + 5} = \frac{1}{2}$
214468	Find the Domain and Range	f(x)=-1/4 square root of 8-4x+1	$f (x) = - \frac{1}{4} \sqrt{8 - 4 x} + 1$
214469	Factor	(x^3-x^2+3x-3)	$(x^{3} - x^{2} + 3 x - 3)$
214470	Solve the Inequality for x	(x^2(x+4))/((x+2)(x-1))>0	$\frac{x^{2} (x + 4)}{(x + 2) (x - 1)} > 0$
214471	Solve for m	-64=m^3	$- 64 = m^{3}$
214472	Solve for d	19-15d=-8(d-19)	$19 - 15 d = - 8 (d - 19)$
214473	Simplify	((2x^3)/(x^32x^22x^4))^4	${(\frac{2 x^{3}}{x^{3} \cdot 2 x^{2} \cdot 2 x^{4}})}^{4}$
214474	Solve the Rational Equation for x	2 square root of x+2- square root of x-3 = square root of x+9	$2 \sqrt{x + 2} - \sqrt{x - 3} = \sqrt{x + 9}$
214475	Simplify	(m^2)/(m^2-9)+(m-6)/(m^2-9)	$\frac{m^{2}}{m^{2} - 9} + \frac{m - 6}{m^{2} - 9}$
214476	Solve for y	2+y-8=19	$2 + y - 8 = 19$
214477	Solve for n	\|2n\|-4=8	$\| 2 n \| - 4 = 8$
214478	Evaluate	cos(-3pi)	$\cos (- 3 π)$
214479	Simplify	(3a)(5x^2+8a)	$(3 a) (5 x^{2} + 8 a)$
214480	Simplify	fifth root of -16*2^(1/5)	$\sqrt[5]{- 16} \cdot 2^{\frac{1}{5}}$
214481	Multiply	x^2(8x^2-x)	$x^{2} (8 x^{2} - x)$
214482	Factor	xy^2-x-2xy	$x y^{2} - x - 2 x y$
214483	Find the Domain and Range	f(x)=- square root of x^3+8	$f (x) = - \sqrt{x^{3} + 8}$
214484	Simplify	(-6c^2d)(-4c^3d^4e)	$(- 6 c^{2} d) (- 4 c^{3} d^{4} e)$
214485	Solve for w	31/4=1/2+w	$\frac{31}{4} = \frac{1}{2} + w$
214486	Find the Inverse	y=1/2(x-1)^3	$y = \frac{1}{2} {(x - 1)}^{3}$
214487	Convert to a Decimal	cos(165)deg	$\cos (165)$ degrees
214488	Find the y-intercept	f(x)=-2x-1	$f (x) = - 2 x - 1$
214489	Solve the Rational Equation for k	square root of 3k-29 = square root of 41-2k	$\sqrt{3 k - 29} = \sqrt{41 - 2 k}$
214490	Solve for x	square root of x=1/3x	$\sqrt{x} = \frac{1}{3} x$
214491	Solve the Rational Equation for x	cube root of x+40=-5	$\sqrt[3]{x + 40} = - 5$
214492	Write in Standard Form	(9x^2-5x)-(-3x-8)	$(9 x^{2} - 5 x) - (- 3 x - 8)$
214493	Solve for x	x-4-4x=6x+9-8x	$x - 4 - 4 x = 6 x + 9 - 8 x$
214494	Solve the Inequality for y	12-3y<27	$12 - 3 y < 27$
214495	Solve for x	6/7+(3x+3)/x=-6/(7x)	$\frac{6}{7} + \frac{3 x + 3}{x} = \frac{- 6}{7 x}$
214496	Solve the System of Inequalities	-8x+3>=27 ; AND , -13x+5>=57	$- 8 x + 3 \geq 27$ ; AND , $- 13 x + 5 \geq 57$
214497	Simplify	(x/(x+3)+2/(x+3))/(x+3-1/(x+3))	$\frac{\frac{x}{x + 3} + \frac{2}{x + 3}}{x + 3 - \frac{1}{x + 3}}$
214498	Divide Using Long Polynomial Division	(x^4+6x-2.5)÷(x^2+3x+0.5)	$(x^{4} + 6 x - 2.5) \div (x^{2} + 3 x + 0.5)$
214499	Evaluate the Function	g(2/3)=x/( square root of 9-x^2)	$g (\frac{2}{3}) = \frac{x}{\sqrt{9 - x^{2}}}$
214500	Evaluate	( cube root of 1000)^3+6	${(\sqrt[3]{1000})}^{3} + 6$