Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235901	Evaluate	(x^6)^(1/2)	${(x^{6})}^{\frac{1}{2}}$
235902	Evaluate	(6a^10b^9)/(3ab^3)	$\frac{6 a^{10} b^{9}}{3 a b^{3}}$
235903	Solve for x	(ax+b)/c-d=e	$\frac{a x + b}{c} - d = e$
235904	Factor	x^2+bx-ax-ab	$x^{2} + b x - a x - a b$
235905	Solve the Absolute Value Inequality for x	\|x/2-3\|=1	$\| \frac{x}{2} - 3 \| = 1$
235906	Solve the Rational Equation for x	square root of 6x+1-8=3	$\sqrt{6 x + 1} - 8 = 3$
235907	Find the Domain and Range	F(x)=x^3-6x^2+8x	$F (x) = x^{3} - 6 x^{2} + 8 x$
235908	Simplify	(z^a*z^b)/(z^c)	$\frac{z^{a} \cdot z^{b}}{z^{c}}$
235909	Graph	h(x)=(x+2)^2(x+1)	$h (x) = {(x + 2)}^{2} (x + 1)$
235910	Evaluate	(x^2+3x-9)(4-x)^-1	$(x^{2} + 3 x - 9) {(4 - x)}^{- 1}$
235911	Simplify the Radical Expression	( cube root of 250x^7y^3)/( cube root of 2x^2y)	$\frac{\sqrt[3]{250 x^{7} y^{3}}}{\sqrt[3]{2 x^{2} y}}$
235912	Solve for x	(x-3)^4=21	${(x - 3)}^{4} = 21$
235913	Evaluate	(16/3)^(-3/4)	${(\frac{16}{3})}^{- \frac{3}{4}}$
235914	Evaluate	(x^6)/(x^-2*x^4)	$\frac{x^{6}}{x^{- 2} \cdot x^{4}}$
235915	Solve for x	6x+10=6x+0.2(x-7.8)+1	$6 x + 10 = 6 x + 0.2 (x - 7.8) + 1$
235916	Simplify	(5c^2-15c^3)/(20c^2d+25c^2)	$\frac{5 c^{2} - 15 c^{3}}{20 c^{2} d + 25 c^{2}}$
235917	Solve the Absolute Value Inequality for k	\|2x+7\|-k<=5	$\| 2 x + 7 \| - k \leq 5$
235918	Simplify	2 square root of 2x(3 square root of 6x^3-4 square root of 8y+7 square root of xy^2)	$2 \sqrt{2 x} (3 \sqrt{6 x^{3}} - 4 \sqrt{8 y} + 7 \sqrt{x y^{2}})$
235919	Simplify	8/(4x^-4)	$\frac{8}{4 x^{- 4}}$
235920	Solve for x	x^2=(x+4)(x-4)+16	$x^{2} = (x + 4) (x - 4) + 16$
235921	Evaluate	(2^(2/5))/2	$\frac{2^{\frac{2}{5}}}{2}$
235922	Evaluate	16^(1/2)*2^-3	$16^{\frac{1}{2}} \cdot 2^{- 3}$
235923	Find the Exact Value	cos(-810 degrees )	$\cos (- 810 °)$
235924	Solve for x	x^2>2	$x^{2} > 2$
235925	Solve for x	sec(x)^2+3sec(x)+2=0	$\sec^{2} (x) + 3 \sec (x) + 2 = 0$
235926	Evaluate	e^(2infinity)	$e^{2 \infty}$
235927	Solve the System of Equations	3x-9y-3z=6 2x-7y-4z=8 4x-8y+4z=-8	$3 x - 9 y - 3 z = 6$ $2 x - 7 y - 4 z = 8$ $4 x - 8 y + 4 z = - 8$
235928	Solve for x	(13k+10x)+(-8x-9k)=12k	$(13 k + 10 x) + (- 8 x - 9 k) = 12 k$
235929	Simplify	4(0.5x+2.5y-0.7x-1.3y+4)	$4 (0.5 x + 2.5 y - 0.7 x - 1.3 y + 4)$
235930	Evaluate	(x^-2)/(x^-6*x^-6)	$\frac{x^{- 2}}{x^{- 6} \cdot x^{- 6}}$
235931	Solve for x	log base x of 2x+3=2	$\log_{x} (2 x + 3) = 2$
235932	Evaluate	-pi/6+pi/2	$- \frac{π}{6} + \frac{π}{2}$
235933	Evaluate	3m^-8p^0	$3 m^{- 8} p^{0}$
235934	Solve for w	(6w-1)/5-3w=(12w-16)/15	$\frac{6 w - 1}{5} - 3 w = \frac{12 w - 16}{15}$
235935	Solve for x	3^(x+2)-3^(x+1)=18	$3^{x + 2} - 3^{x + 1} = 18$
235936	Solve for a	a/2=13/20	$\frac{a}{2} = \frac{13}{20}$
235937	Simplify the Radical Expression	square root of 9+ square root of -27+ square root of 100- square root of -3	$\sqrt{9} + \sqrt{- 27} + \sqrt{100} - \sqrt{- 3}$
235938	Multiply	(1/2c^3d)^5	${(\frac{1}{2} c^{3} d)}^{5}$
235939	Write as a Single Logarithm	3/2 natural log of 16x^8-1/5 natural log of 2y^25	$\frac{3}{2} \ln (16 x^{8}) - \frac{1}{5} \ln (2 y^{25})$
235940	Simplify	(sin((11pi)/6)-cos(pi/6))/(sin(-pi/3)+cos((5pi)/6))	$\frac{\sin (\frac{11 π}{6}) - \cos (\frac{π}{6})}{\sin (- \frac{π}{3}) + \cos (\frac{5 π}{6})}$
235941	Simplify	5+4m^2+7m-m^2+3m-13	$5 + 4 m^{2} + 7 m - m^{2} + 3 m - 13$
235942	Evaluate Using the Given Value	x-y+6 ; use x=6 ; and y=1	$x - y + 6$ ; use $x = 6$ ; and $y = 1$
235943	Evaluate	fourth root of (16x^11y^8)/(81x^7y^6)	$\sqrt[4]{\frac{16 x^{11} y^{8}}{81 x^{7} y^{6}}}$
235944	Simplify	fourth root of x*x^2	$\sqrt[4]{x} \cdot x^{2}$
235945	Solve for x	9-x<=17	$9 - x \leq 17$
235946	Find the Equation Using Point-Slope Formula	(3,-2) and (5,-9)	$(3, - 2)$ and $(5, - 9)$
235947	Simplify	(x^3-1)/(x^3+x^2+x)	$\frac{x^{3} - 1}{x^{3} + x^{2} + x}$
235948	Find the Roots (Zeros)	cos(x)-sin(x)=0	$\cos (x) - \sin (x) = 0$
235949	Evaluate	-1/5(3/8-5/6)	$- \frac{1}{5} (\frac{3}{8} - \frac{5}{6})$
235950	Solve for k	7k-8+2(k+12)=52	$7 k - 8 + 2 (k + 12) = 52$
235951	Find the Function	f(x)=(x-1)^3+2	$f (x) = {(x - 1)}^{3} + 2$
235952	Expand Using the Binomial Theorem	(q^2+4/7)^2	${(q^{2} + \frac{4}{7})}^{2}$
235953	Solve for x	2^x-1=0	$2^{x} - 1 = 0$
235954	Find the Roots (Zeros)	5x^4+7x^8-x^12	$5 x^{4} + 7 x^{8} - x^{12}$
235955	Convert to Radical Form	((4^(5/4)*4^(1/4))/(4^(1/2)))^(1/2)	${(\frac{4^{\frac{5}{4}} \cdot 4^{\frac{1}{4}}}{4^{\frac{1}{2}}})}^{\frac{1}{2}}$
235956	Simplify	(4-5xi)(1+i)-(4-5xi)(5+i)	$(4 - 5 x i) (1 + i) - (4 - 5 x i) (5 + i)$
235957	Solve the System of Equations	x+y=-1 and 5x-7y=79	$x + y = - 1$ and $5 x - 7 y = 79$
235958	Convert to Radical Form	((12)^(3/4))/((4)^(1/4))	$\frac{{(12)}^{\frac{3}{4}}}{{(4)}^{\frac{1}{4}}}$
235959	Solve the System of Inequalities	-1+9y>-73 and (y-4)/-3>2	$- 1 + 9 y > - 73$ and $\frac{y - 4}{- 3} > 2$
235960	Write in Standard Form	-3i(7i-5)	$- 3 i (7 i - 5)$
235961	Solve for x	square root of x^2-1=x-2	$\sqrt{x^{2} - 1} = x - 2$
235962	Simplify the Radical Expression	8 5/3	$8 \frac{5}{3}$
235963	Simplify	((3-4i)/5)^-1	${(\frac{(3 - 4 i)}{5})}^{- 1}$
235964	Find the GCF	8c^2+7c	$8 c^{2} + 7 c$
235965	Subtract	(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)	$(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x)$
235966	Write in Standard Form	9+2x^3-7x^3-2x^3	$9 + 2 x^{3} - 7 x^{3} - 2 x^{3}$
235967	Evaluate	(7x^(3/2))/(-14x^(1/3))	$\frac{7 x^{\frac{3}{2}}}{- 14 x^{\frac{1}{3}}}$
235968	Solve for a	ax+2ay=0	$a x + 2 a y = 0$
235969	Simplify	(8^-2x^-3y^11)/(x^2y^-5)	$\frac{8^{- 2} x^{- 3} y^{11}}{x^{2} y^{- 5}}$
235970	Write the Fraction in Simplest Form	(-3(u^3c^-5)^-3)/(2u^-5c^9)	$\frac{- 3 {(u^{3} c^{- 5})}^{- 3}}{2 u^{- 5} c^{9}}$
235971	Solve for x	2 square root of 10+3x = square root of 7+x	$2 \sqrt{10 + 3 x} = \sqrt{7 + x}$
235972	Evaluate	cube root of 27x-81-5	$\sqrt[3]{27 x - 81} - 5$
235973	Convert to Radical Form	2a^(1/2)b^(1/3)c^(1/4)	$2 a^{\frac{1}{2}} b^{\frac{1}{3}} c^{\frac{1}{4}}$
235974	Find the Inverse	4( cube root of x+10)	$4 (\sqrt[3]{x} + 10)$
235975	Solve Using the Quadratic Formula	x^3+2x^2-5x-6	$x^{3} + 2 x^{2} - 5 x - 6$
235976	Simplify	3(x-3y+7)+4+7x	$3 (x - 3 y + 7) + 4 + 7 x$
235977	Combine Like Terms	-3x-7(x+4)	$- 3 x - 7 (x + 4)$
235978	Solve the Inequality for x	3x<4-5x<5+3x	$3 x < 4 - 5 x < 5 + 3 x$
235979	Factor by Grouping	x^5+5x^2-4x^3-20	$x^{5} + 5 x^{2} - 4 x^{3} - 20$
235980	Simplify	Simplify 15c^-8d^0	Simplify $15 c^{- 8} d^{0}$
235981	Solve the System of Equations	x-2y=-4 y=1/2x+2	$x - 2 y = - 4$ $y = \frac{1}{2} x + 2$
235982	Solve the Inequality for x	-30+5x>4(6+8x)	$- 30 + 5 x > 4 (6 + 8 x)$
235983	Solve for n	5n^2=9n	$5 n^{2} = 9 n$
235984	Divide Using Synthetic Division	(3x^3+19x^2+x-21)÷(x+6)	$(3 x^{3} + 19 x^{2} + x - 21) \div (x + 6)$
235985	Solve the System of Inequalities	y<=x-1 y>-1/2x-4	$y \leq x - 1$ $y > - \frac{1}{2} x - 4$
235986	Find the Excluded Values	(x^2-81)/(8x+9)	$\frac{x^{2} - 81}{8 x + 9}$
235987	Simplify	square root of 320mn	$\sqrt{320 m n}$
235988	Simplify the Radical Expression	( cube root of 40x)÷( cube root of 5x^2)	$\sqrt[3]{40 x} \div \sqrt[3]{5 x^{2}}$
235989	Convert to a Percentage	0.31(3/8)	$0.31 (\frac{3}{8})$
235990	Round to the Nearest Hundredth	1/4	$\frac{1}{4}$
235991	Simplify	((5xy^3z^2)/(w^-3))^-5	${(\frac{5 x y^{3} z^{2}}{w^{- 3}})}^{- 5}$
235992	Solve for a	3(a-2)-(a+6)=4(a-1)	$3 (a - 2) - (a + 6) = 4 (a - 1)$
235993	Solve for x	3(6x-5)=3(6x-5)+x	$3 (6 x - 5) = 3 (6 x - 5) + x$
235994	Multiply	(2 square root of 3)(4 square root of 5)	$(2 \sqrt{3}) (4 \sqrt{5})$
235995	Solve for x	square root of 2+ cube root of 2x+4=2	$\sqrt{2 + \sqrt[3]{2 x + 4}} = 2$
235996	Solve for n	2/(5n-8)-1=n/(5n-8)	$\frac{2}{5 n - 8} - 1 = \frac{n}{5 n - 8}$
235997	Evaluate	f(x)=0.04(8(2)-(2)^2)	$f (x) = 0.04 (8 (2) - {(2)}^{2})$
235998	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+19x^2-12x-6 is divided by 3x+1	Use the long division method to find the result when $3 x^{3} + 19 x^{2} - 12 x - 6$ is divided by $3 x + 1$
235999	Solve for a	18a-9=5(2a+3)	$18 a - 9 = 5 (2 a + 3)$
236000	Solve for d	P=1+d/33	$P = 1 + \frac{d}{33}$