Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
237501	Write in Exponential Form	( cube root of x square root of y)/( fourth root of xy^2)	$\frac{\sqrt[3]{x \sqrt{y}}}{\sqrt[4]{x y^{2}}}$
237502	Solve for x	y = square root of x+a	$y = \sqrt{x + a}$
237503	Simplify	-2(-3)^3-3	$- 2 {(- 3)}^{3} - 3$
237504	Determine the Possible Number of Real Roots	-0.000125	$- 0.000125$
237505	Evaluate Using the Given Value	Solve for V V/(LW)=H	Solve for $V$ $\frac{V}{L W} = H$
237506	Multiply	(10a+b)*(10a+2b)	$(10 a + b) \cdot (10 a + 2 b)$
237507	Solve for b	a^2-b^2=0	$a^{2} - b^{2} = 0$
237508	Graph	2x>12 or 4>=2x	$2 x > 12$ or $4 \geq 2 x$
237509	Determine if Perpendicular	y=-4x+1 4y=x+3	$y = - 4 x + 1$ $4 y = x + 3$
237510	Simplify	(5+i)/( square root of -3)	$\frac{5 + i}{\sqrt{- 3}}$
237511	Evaluate	square root of 2x+3=x	$\sqrt{2 x + 3} = x$
237512	Simplify	4^05^-2100^01/(2^-1)	$4^{0} \cdot 5^{- 2} \cdot 100^{0} \frac{1}{2^{- 1}}$
237513	Evaluate Using the Given Value	h-b if h=9 , b=4	$h - b$ if $h = 9$ , $b = 4$
237514	Simplify	m^(4/9)*m^(1/4)	$m^{\frac{4}{9}} \times m^{\frac{1}{4}}$
237515	Solve Over the Interval	cot(x)=1 , pi<=x<=(3pi)/2	$\cot (x) = 1$ , $π \leq x \leq \frac{3 π}{2}$
237516	Evaluate	(1/4x^2+2/3x+4)+(-1/2x^2-5/3x-1 1/2)	$(\frac{1}{4} x^{2} + \frac{2}{3} x + 4) + (- \frac{1}{2} x^{2} - \frac{5}{3} x - 1 \frac{1}{2})$
237517	Simplify	(1/4x-5)+(3/16x+8)	$(\frac{1}{4} x - 5) + (\frac{3}{16} x + 8)$
237518	Solve for x	log base 4 of x = log base 4 of 15- log base 4 of 3	$\log_{4} (x) = \log_{4} (15) - \log_{4} (3)$
237519	Evaluate	2x=3	$2 x = 3$
237520	Evaluate	g(x)=3	$g (x) = 3$
237521	Graph	y = square root of 1-x+2	$y = \sqrt{1 - x} + 2$
237522	Find the Roots (Zeros)	2x^4+2x^3+2x^2+15x-9	$2 x^{4} + 2 x^{3} + 2 x^{2} + 15 x - 9$
237523	Simplify	(7 square root of 6+6 square root of 7)/(7 square root of 7+6 square root of 6)	$\frac{7 \sqrt{6} + 6 \sqrt{7}}{7 \sqrt{7} + 6 \sqrt{6}}$
237524	Simplify the Radical Expression	(x^5)/(x^3)	$\frac{x^{5}}{x^{3}}$
237525	Simplify	fifth root of 64x^4y^3* fifth root of 16xy^2	$\sqrt[5]{64 x^{4} y^{3}} \cdot \sqrt[5]{16 x y^{2}}$
237526	Simplify	(2mn^2(3m^2n)^2)/(12m^3(n^4)^-3)	$\frac{2 m n^{2} {(3 m^{2} n)}^{2}}{12 m^{3} {(n^{4})}^{- 3}}$
237527	Find the 5th Term	1/6 , 1/9 , 2/27 , 4/81	$\frac{1}{6}$ , $\frac{1}{9}$ , $\frac{2}{27}$ , $\frac{4}{81}$
237528	Solve for x	1/(x-1)-8/(x^2-x)=(7x)/(x-1)	$\frac{1}{x - 1} - \frac{8}{x^{2} - x} = \frac{7 x}{x - 1}$
237529	Solve for n	what number is 120% of 70	what number is $120 %$ of $70$
237530	Graph	f(x)=(5x^2+25x)/(-3x^2-21x-30)	$f (x) = \frac{5 x^{2} + 25 x}{- 3 x^{2} - 21 x - 30}$
237531	Combine Like Terms	8mn^5-2m^6+5m^2n^4-m^3n^3+n^6-4m^6+9m^2n^4-mn^5-4m^3n^3	$8 m n^{5} - 2 m^{6} + 5 m^{2} n^{4} - m^{3} n^{3} + n^{6} - 4 m^{6} + 9 m^{2} n^{4} - m n^{5} - 4 m^{3} n^{3}$
237532	Simplify	((56^(1/4))/(7^(1/4)))^5	${(\frac{56^{\frac{1}{4}}}{7^{\frac{1}{4}}})}^{5}$
237533	Solve for x	square root of x+4-x+2=0	$\sqrt{x + 4} - x + 2 = 0$
237534	Solve for y	y = square root of 31-27	$y = \sqrt{31 - 27}$
237535	Solve for a	z=5/8ab	$z = \frac{5}{8} a b$
237536	Evaluate	(49^(3/8)*49^(7/8))/(7^(5/4))	$\frac{49^{\frac{3}{8}} \cdot 49^{\frac{7}{8}}}{7^{\frac{5}{4}}}$
237537	Simplify	(x^2+6x)/(5x+2)+2/(5x+2)-(x^2+x)/(5x+2)	$\frac{x^{2} + 6 x}{5 x + 2} + \frac{2}{5 x + 2} - \frac{x^{2} + x}{5 x + 2}$
237538	Solve for x	x-3=5/2x-4	$x - 3 = \frac{5}{2} x - 4$
237539	Solve the Inequality for x	x-5=13	$x - 5 = 13$
237540	Simplify	square root of (7x^5)/(63x)	$\sqrt{\frac{7 x^{5}}{63 x}}$
237541	Solve for x	cube root of 7x^2=3x	$\sqrt[3]{7 x^{2}} = 3 x$
237542	Evaluate	(x^5)/(x^-2)	$\frac{x^{5}}{x^{- 2}}$
237543	Graph	y=-(2x+5)(x-1)^2	$y = - (2 x + 5) {(x - 1)}^{2}$
237544	Simplify	(-3x^2y^2)/(-xy)	$\frac{- 3 x^{2} y^{2}}{- x y}$
237545	Solve for x	0.04x-0.02(1000+x)=500	$0.04 x - 0.02 (1000 + x) = 500$
237546	Graph	f(x)=(2x^2-5)/(x^2)	$f (x) = \frac{2 x^{2} - 5}{x^{2}}$
237547	Simplify the Radical Expression	(-3 square root of -63)(9 square root of -7)	$(- 3 \sqrt{- 63}) (9 \sqrt{- 7})$
237548	Solve for x	x-5/8=-3/4	$x - \frac{5}{8} = - \frac{3}{4}$
237549	Simplify	(x^6y^5)/(x^3y^5)	$\frac{x^{6} y^{5}}{x^{3} y^{5}}$
237550	Simplify	(cos(x)^4-sin(x)^4)/(cos(x)^2)	$\frac{\cos^{4} (x) - \sin^{4} (x)}{\cos^{2} (x)}$
237551	Find the Exact Value	(( square root of 2)/2)÷(( square root of 2)/2)	$\frac{\sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$
237552	Solve for x	-1/((x-2)^2)=0	$- \frac{1}{{(x - 2)}^{2}} = 0$
237553	Evaluate	1/3-1/2-6	$\frac{1}{3} - \frac{1}{2} - 6$
237554	Combine Like Terms	-4/7+2/7x-14x+4/7	$- \frac{4}{7} + \frac{2}{7} x - 14 x + \frac{4}{7}$
237555	Solve for M	M=(10^(m+n)10^(n-m)10^(n+1))/(10^(n-1)*10^(2n+1))	$M = \frac{10^{m + n} \cdot 10^{n - m} \cdot 10^{n + 1}}{10^{n - 1} \cdot 10^{2 n + 1}}$
237556	Simplify	-x^-4y^-4	$- x^{- 4} y^{- 4}$
237557	Graph	f(x)=-cos(1/(2x)+pi/2)+1	$f (x) = - \cos (\frac{1}{2 x} + \frac{π}{2}) + 1$
237558	Evaluate the Function	Evaluate the exponential function f(x)=5^(2x) when x=-1	Evaluate the exponential function $f (x) = 5^{2 x}$ when $x = - 1$
237559	Solve for f	3(2+f)=-15	$3 (2 + f) = - 15$
237560	Solve for b	-3b=a	$- 3 b = a$
237561	Simplify	-(2(p^-4y^4)^-3)/(6p^-3y^-1)	$- \frac{2 {(p^{- 4} y^{4})}^{- 3}}{6 p^{- 3} y^{- 1}}$
237562	Simplify	(4y)/(2x^4y^3)	$\frac{4 y}{2 x^{4} y^{3}}$
237563	Simplify	((18a^3b^-2)/(27a^-2b^-4))^-3	${(\frac{18 a^{3} b^{- 2}}{27 a^{- 2} b^{- 4}})}^{- 3}$
237564	Simplify	((7x^3)/9)/(5/(4x^3))	$\frac{\frac{7 x^{3}}{9}}{\frac{5}{4 x^{3}}}$
237565	Evaluate	--27/-3+4*(5-(-3))	$- \frac{- 27}{- 3} + 4 \cdot (5 - (- 3))$
237566	Simplify	(b-a)/(ab)+(c-b)/(bc)-(c-a)/(ac)	$\frac{b - a}{a b} + \frac{c - b}{b c} - \frac{c - a}{a c}$
237567	Evaluate	7x(4x^2+6)=4(7x^3+9x-12)	$7 x (4 x^{2} + 6) = 4 (7 x^{3} + 9 x - 12)$
237568	Simplify	-1/2*2	$- \frac{1}{2} \cdot 2$
237569	Evaluate	(5-3)!	$(5 - 3)!$
237570	Write the Fraction in Simplest Form	( cube root of k^8)/( square root of k)	$\frac{\sqrt[3]{k^{8}}}{\sqrt{k}}$
237571	Write in Standard Form	-4(x-4)^2+16=0	$- 4 {(x - 4)}^{2} + 16 = 0$
237572	Solve for x	3 square root of 3x+4-5=0	$3 \sqrt{3 x + 4} - 5 = 0$
237573	Simplify	cube root of 27a^6b^5- square root of 27a^5b^6	$\sqrt[3]{27 a^{6} b^{5}} - \sqrt{27 a^{5} b^{6}}$
237574	Evaluate	i^26*i^54	$i^{26} \cdot i^{54}$
237575	Find the Product	2x*2x	$2 x \cdot 2 x$
237576	Expand the Logarithmic Expression	log of (10x)/6	$\log (\frac{10 x}{6})$
237577	Solve the Inequality for y	7y+10>6y+11	$7 y + 10 > 6 y + 11$
237578	Solve the Absolute Value Inequality for x	8-\|2+2x\|=0	$8 - \| 2 + 2 x \| = 0$
237579	Simplify	(-300x^5y^4)÷xy^2	$- 300 x^{5} y^{4} \div x y^{2}$
237580	Evaluate	(x^3)^-3(-2y^5)^4	${(x^{3})}^{- 3} {(- 2 y^{5})}^{4}$
237581	Solve for x	2x+5+x-5=180	$2 x + 5 + x - 5 = 180$
237582	Find the Parabola with Vertex (-2,4) and Directrix x=-1	vertex (-2,4) ; directrix x=-1	vertex $(- 2, 4)$ ; directrix $x = - 1$
237583	Round to the Nearest Whole Number	square root of 31	$\sqrt{31}$
237584	Simplify	1/(y^2)+1/(x^2y)	$\frac{1}{y^{2}} + \frac{1}{x^{2} y}$
237585	Evaluate the Function	F(-3)=2(-3)^3+2	$F (- 3) = 2 {(- 3)}^{3} + 2$
237586	Graph	8*(5/4)^x	$8 \cdot {(\frac{5}{4})}^{x}$
237587	Solve for x	8-2kx=-3x	$8 - 2 k x = - 3 x$
237588	Simplify	(5^2-3^2)/(3-5)	$\frac{5^{2} - 3^{2}}{3 - 5}$
237589	Solve for x	(2x-1)/6-(x+5)/18=x+1	$\frac{2 x - 1}{6} - \frac{x + 5}{18} = x + 1$
237590	Simplify	3yx^2*3y^3	$3 y x^{2} \cdot 3 y^{3}$
237591	Simplify	(4y^3)/( square root of 20y^2)	$\frac{4 y^{3}}{\sqrt{20 y^{2}}}$
237592	Factor	7ac-2bd+bc-14ad	$7 a c - 2 b d + b c - 14 a d$
237593	Factor	(x-4)^2+(x-4)	${(x - 4)}^{2} + (x - 4)$
237594	Simplify	(xy)/4*(2x^2)/(y^3)	$\frac{x y}{4} \cdot \frac{2 x^{2}}{y^{3}}$
237595	Evaluate	-(6(8-9))/2	$- \frac{6 (8 - 9)}{2}$
237596	Solve for x	1/4x-2=-1/2x+4	$\frac{1}{4} x - 2 = - \frac{1}{2} x + 4$
237597	Multiply	square root of 3( square root of 6+ square root of 8)	$\sqrt{3} (\sqrt{6} + \sqrt{8})$
237598	Solve for b	b-6=18-3b	$b - 6 = 18 - 3 b$
237599	Write in Standard Form	2-5/6x=7/8	$2 - \frac{5}{6} x = \frac{7}{8}$
237600	Solve the System of Equations	3x+y=-8 -2x-y=6	$3 x + y = - 8$ $- 2 x - y = 6$