Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
203701	Simplify the Radical Expression	sixth root of 27x^15y^12z^3	$\sqrt[6]{27 x^{15} y^{12} z^{3}}$
203702	Find the Domain and Range	2x=y	$2 x = y$
203703	Simplify the Radical Expression	((m^(1/2)n^(2/3))/(m^(2/5)n^(3/4)))^6	${(\frac{m^{\frac{1}{2}} n^{\frac{2}{3}}}{m^{\frac{2}{5}} n^{\frac{3}{4}}})}^{6}$
203704	Solve the Inequality for x	2x+3y<6	$2 x + 3 y < 6$
203705	Multiply	(a+b)(2a+3b)(2x-y)	$(a + b) (2 a + 3 b) (2 x - y)$
203706	Solve for x	Solve log of x=3	Solve $\log (x) = 3$
203707	Simplify the Radical Expression	( square root of 6)/( square root of 3- square root of 5)	$\frac{\sqrt{6}}{\sqrt{3} - \sqrt{5}}$
203708	Convert to a Percentage	What percent of 25 is 12 ?	What percent of $25$ is $12$ ?
203709	Simplify	10x square root of (x^2)/12	$10 x \sqrt{\frac{x^{2}}{12}}$
203710	Simplify	( square root of 21x^12)/( square root of 3x^3)	$\frac{\sqrt{21 x^{12}}}{\sqrt{3 x^{3}}}$
203711	Simplify	(4y^3)(-5y^2)(3y)	$(4 y^{3}) (- 5 y^{2}) (3 y)$
203712	Solve for b	A=0.5h(a+b)	$A = 0.5 h (a + b)$
203713	Simplify	( square root of 2)/( square root of 2-1)	$\frac{\sqrt{2}}{\sqrt{2 - 1}}$
203714	Simplify	(-3/(4c))^3	${(- \frac{3}{4 c})}^{3}$
203715	Simplify	eighth root of w^3*w^-1	$\sqrt[8]{w^{3} \cdot w^{- 1}}$
203716	Simplify	(x^2-2)-(3x+5)	$(x^{2} - 2) - (3 x + 5)$
203717	Graph	The graph of y=f(x) is shown below. Draw the graph of y=1/2f(x)	The graph of $y = f (x)$ is shown below. Draw the graph of $y = \frac{1}{2} f (x)$
203718	Solve for n	7(1+4n)=7(6+3n)	$7 (1 + 4 n) = 7 (6 + 3 n)$
203719	Write the Fraction in Simplest Form	((3a^4)^5)/(4a)	$\frac{{(3 a^{4})}^{5}}{4 a}$
203720	Simplify	(rn)(rn^3)(n^2)	$(r n) (r n^{3}) (n^{2})$
203721	Rationalize the Denominator	(15 square root of 60x^5)/(3 square root of 12x)	$\frac{15 \sqrt{60 x^{5}}}{3 \sqrt{12 x}}$
203722	Simplify	(a^2)/(ax-x^2)+x/(x-a)	$\frac{a^{2}}{a x - x^{2}} + \frac{x}{x - a}$
203723	Graph	f(x)=(3/4)^(2(x+1))-5	$f (x) = {(\frac{3}{4})}^{2 (x + 1)} - 5$
203724	Solve for x	square root of x-2x+7=0	$\sqrt{x - 2 x + 7} = 0$
203725	Solve for a	(a+bc)(d-e)=f	$(a + b c) (d - e) = f$
203726	Solve by Graphing	y=-3/5x+2 y=-6/5x-1	$y = - \frac{3}{5} x + 2$ $y = - \frac{6}{5} x - 1$
203727	Simplify	1/2-2^-4*4^2	$\frac{1}{2} - 2^{- 4} \cdot 4^{2}$
203728	Simplify	(5-10x)/6*(6x+8)/(10-20x)	$\frac{5 - 10 x}{6} \cdot \frac{6 x + 8}{10 - 20 x}$
203729	Simplify	2 square root of 53 square root of 2 square root of 6	$2 \sqrt{5} \cdot 3 \sqrt{2} \cdot \sqrt{6}$
203730	Solve for A	A=1/2(a+b)	$A = \frac{1}{2} (a + b)$
203731	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-7x^2-7-4x^4	$f (x) = - 7 x^{2} - 7 - 4 x^{4}$
203732	Solve the System of Equations	x+y+z=1 2x+4y+6z=2 -x+3y-5z=11	$x + y + z = 1$ $2 x + 4 y + 6 z = 2$ $- x + 3 y - 5 z = 11$
203733	Solve for x	6x^3(x^2+1)^(-1/2)-4x(x^2+1)^(1/2)=0	$6 x^{3} {(x^{2} + 1)}^{- \frac{1}{2}} - 4 x {(x^{2} + 1)}^{\frac{1}{2}} = 0$
203734	Solve for x	2(4x-1)+10x=6(3x+4)-26	$2 (4 x - 1) + 10 x = 6 (3 x + 4) - 26$
203735	Solve for x	2x^8=128	$2 x^{8} = 128$
203736	Simplify	1/24x^2(8x^3+x^2+2x)-1/22x^2(6x^3+2x)	$\frac{1}{2} \cdot 4 x^{2} (8 x^{3} + x^{2} + 2 x) - \frac{1}{2} \cdot 2 x^{2} (6 x^{3} + 2 x)$
203737	Simplify	fifth root of 5^2* square root of 5^3	$\sqrt[5]{5^{2}} \cdot \sqrt{5^{3}}$
203738	Solve for x	x/2-7=y/3	$\frac{x}{2} - 7 = \frac{y}{3}$
203739	Graph	8x-2y>6 32x-8y>-24	$8 x - 2 y > 6$ $32 x - 8 y > - 24$
203740	Simplify	(y/x-x/y)/(4/y-4/x)	$\frac{\frac{y}{x} - \frac{x}{y}}{\frac{4}{y} - \frac{4}{x}}$
203741	Simplify	(d^2e^3f^5)/(e^6f^7g^8)	$\frac{d^{2} e^{3} f^{5}}{e^{6} f^{7} g^{8}}$
203742	Simplify	(4a^3b^4)(5ab^2)+(a^2b^5)(-2a^2b)	$(4 a^{3} b^{4}) (5 a b^{2}) + (a^{2} b^{5}) (- 2 a^{2} b)$
203743	Subtract	(7p^2+3p)-(5p^2+4)	$(7 p^{2} + 3 p) - (5 p^{2} + 4)$
203744	Multiply	10^23	$10^{23}$
203745	Simplify the Radical Expression	i^28	$i^{28}$
203746	Write the Fraction in Simplest Form	(12h^9)/((3h^4)^5)	$\frac{12 h^{9}}{{(3 h^{4})}^{5}}$
203747	Simplify the Radical Expression	fourth root of 5/8	$\sqrt[4]{\frac{5}{8}}$
203748	Write in Standard Form	2i^3(5-12i)	$2 i^{3} (5 - 12 i)$
203749	Simplify the Radical Expression	2 square root of 3( square root of 27-8 square root of 6)	$2 \sqrt{3} (\sqrt{27} - 8 \sqrt{6})$
203750	Graph	y>-1/2x-8y	$y > - \frac{1}{2} x - 8 y$
203751	Find the Exact Value	11-3*2+2^3+90÷6	$11 - 3 \times 2 + 2^{3} + 90 \div 6$
203752	Evaluate	12tan(pi/6)^2+24sec(pi/3)^2	$12 \tan^{2} (\frac{π}{6}) + 24 \sec^{2} (\frac{π}{3})$
203753	Find the End Behavior	f(x)=-1/2x^2+6x^3-x	$f (x) = - \frac{1}{2} x^{2} + 6 x^{3} - x$
203754	Simplify	(6x^3+29x^2+23x-34)(x+3)^-1	$(6 x^{3} + 29 x^{2} + 23 x - 34) {(x + 3)}^{- 1}$
203755	Simplify	(3y^(-5/4))/(y^-1*2y^(-1/3))	$\frac{3 y^{- \frac{5}{4}}}{y^{- 1} \cdot 2 y^{- \frac{1}{3}}}$
203756	Evaluate the Function	f(-1)=3(2)^-1	$f (- 1) = 3 {(2)}^{- 1}$
203757	Solve for x	3^(2x^2+12)=(1/9)^(-14x+34)	$3^{2 x^{2} + 12} = {(\frac{1}{9})}^{- 14 x + 34}$
203758	Simplify	(1+ square root of 6)(5- square root of 7)	$(1 + \sqrt{6}) (5 - \sqrt{7})$
203759	Simplify	((3q^(5/2)r^(1/4))/(6^(1/2)))^2	${(\frac{3 q^{\frac{5}{2}} r^{\frac{1}{4}}}{6^{\frac{1}{2}}})}^{2}$
203760	Solve for c	2/5=4/5c	$\frac{2}{5} = \frac{4}{5} c$
203761	Simplify	(10-(2-8)^2)÷(3^2+2^2)	$(10 - {(2 - 8)}^{2}) \div (3^{2} + 2^{2})$
203762	Simplify	2a(3a^2b)^2	$2 a {(3 a^{2} b)}^{2}$
203763	Solve for m	-4(5m+6)=6m+3(-10m-4)	$- 4 (5 m + 6) = 6 m + 3 (- 10 m - 4)$
203764	Simplify	(-2xy)^-3	${(- 2 x y)}^{- 3}$
203765	Plot	y<=-3x+1 y>=-1/4x+6	$y \leq - 3 x + 1$ $y \geq - \frac{1}{4} x + 6$
203766	Write in Slope-Intercept Form	x+y<-8	$x + y < - 8$
203767	Solve for b	(2b-3)/7-b/2=(b+3)/14	$\frac{2 b - 3}{7} - \frac{b}{2} = \frac{b + 3}{14}$
203768	Find the Excluded Values	(x^2-14x+49)/(6x^2-42x)	$\frac{x^{2} - 14 x + 49}{6 x^{2} - 42 x}$
203769	Solve for f	4(f-0.2)=5f	$4 (f - 0.2) = 5 f$
203770	Simplify	(p^5r^2)^4(-7p^3r^4)(6pr^3)	${(p^{5} r^{2})}^{4} (- 7 p^{3} r^{4}) (6 p r^{3})$
203771	Solve for x	x=5+ square root of 4x-20	$x = 5 + \sqrt{4 x - 20}$
203772	Solve for x	2x^2-8x-10=x+8	$2 x^{2} - 8 x - 10 = x + 8$
203773	Solve for x	6 square root of 8x-32-13<=11	$6 \sqrt{8 x - 32} - 13 \leq 11$
203774	Solve for x	2cos(x)=4cos(x)sin(x)^2	$2 \cos (x) = 4 \cos (x) \sin^{2} (x)$
203775	Graph	y>-3 y>=5x	$y > - 3$ $y \geq 5 x$
203776	Simplify	(-(x-1))/(1-x)	$\frac{- (x - 1)}{1 - x}$
203777	Solve for x	3(x+5)^(1/2)-6=0	$3 {(x + 5)}^{\frac{1}{2}} - 6 = 0$
203778	Find the Exact Value	sin(30 degrees )-cos(45 degrees )	$\sin (30 °) - \cos (45 °)$
203779	Write in Standard Form	x=y^2-8y-11	$x = y^{2} - 8 y - 11$
203780	Simplify	( square root of 27- square root of 7)/( square root of 21-3)	$\frac{\sqrt{27} - \sqrt{7}}{\sqrt{21} - 3}$
203781	Find the GCF	-3k^3+15k^2-6k	$- 3 k^{3} + 15 k^{2} - 6 k$
203782	Simplify	((m-3)^2)/(m^2-6m+9)*(m^3-9m)/(m^2-9)	$\frac{{(m - 3)}^{2}}{m^{2} - 6 m + 9} \cdot \frac{m^{3} - 9 m}{m^{2} - 9}$
203783	Simplify	square root of (x^6)/(y^2)	$\sqrt{\frac{x^{6}}{y^{2}}}$
203784	Simplify	(x^4-1)/(x^2+1)	$\frac{x^{4} - 1}{x^{2} + 1}$
203785	Simplify	2x^2-(x-2y)(2x+y)	$2 x^{2} - (x - 2 y) (2 x + y)$
203786	Solve for x	10 = square root of x/9+10	$10 = \sqrt{\frac{x}{9}} + 10$
203787	Simplify	-5x^2(3xy^0z)^4	$- 5 x^{2} {(3 x y^{0} z)}^{4}$
203788	Graph	y=3/5x-1 y=2/5x	$y = \frac{3}{5} x - 1$ $y = \frac{2}{5} x$
203789	Write in Standard Form	(3v^2-7v-10)(v-4)^-1	$(3 v^{2} - 7 v - 10) {(v - 4)}^{- 1}$
203790	Simplify	(1/(a^-1+b^-1))^-1	${(\frac{1}{a^{- 1} + b^{- 1}})}^{- 1}$
203791	Evaluate	sin(arcsec(x))	$\sin (arcsec (x))$
203792	Divide Using Long Polynomial Division	(-x^5y^5-1/4x^3y^2+2/3x^5y-6xy^3)÷(-3x^2y^3)	$(- x^{5} y^{5} - \frac{1}{4} x^{3} y^{2} + \frac{2}{3} x^{5} y - 6 x y^{3}) \div (- 3 x^{2} y^{3})$
203793	Simplify	-1/4(20z+24)	$- \frac{1}{4} (20 z + 24)$
203794	Solve for x	square root of 4x-2 = square root of x+15	$\sqrt{4 x} - 2 = \sqrt{x + 15}$
203795	Solve for m	(-4t+m)/3=4m	$\frac{- 4 t + m}{3} = 4 m$
203796	Solve for g	1 7/10g=135	$1 \frac{7}{10} g = 135$
203797	Find the Inverse	d(x)=(x+8)^2	$d (x) = {(x + 8)}^{2}$
203798	Simplify	(x^16y^20z^8)1/4	$(x^{16} y^{20} z^{8}) \frac{1}{4}$
203799	Simplify	( square root of 20)/2+ square root of 5/4	$\frac{\sqrt{20}}{2} + \sqrt{\frac{5}{4}}$
203800	Simplify	6xy^3z*3x^2yx^2	$6 x y^{3} z \cdot 3 x^{2} y x^{2}$