Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204601	Evaluate the Function	y=3^x , x=2	$y = 3^{x}$ , $x = 2$
204602	Write as a Single Logarithm	3 log of a+ log of a-2	$3 \log (a) + \log (a - 2)$
204603	Factor	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
204604	Simplify	y^2 cube root of 8x^8y^3	$y^{2} \sqrt[3]{8 x^{8} y^{3}}$
204605	Find the Product	(a-b)(a+b)(a-3b)	$(a - b) (a + b) (a - 3 b)$
204606	Simplify	(2x^3)^4(-3x^2y^3)^2	${(2 x^{3})}^{4} {(- 3 x^{2} y^{3})}^{2}$
204607	Rationalize the Denominator	square root of 5/(3b)	$\sqrt[2]{\frac{5}{3 b}}$
204608	Solve for x	1/2(20-8x)=-3(-2-x)+18	$\frac{1}{2} (20 - 8 x) = - 3 (- 2 - x) + 18$
204609	Simplify the Radical Expression	((4m^8y^12)/(8p^20))^(1/4)	${(\frac{4 m^{8} y^{12}}{8 p^{20}})}^{\frac{1}{4}}$
204610	Solve for a	3^(a-7)=27^(2a)	$3^{a - 7} = 27^{2 a}$
204611	Solve for a	y=(ab)/(2c)	$y = \frac{a b}{2 c}$
204612	Factor	pi(16x^2+24x+9)	$π (16 x^{2} + 24 x + 9)$
204613	Solve for x	2/3x+1/3=1/3x+2/3	$\frac{2}{3} x + \frac{1}{3} = \frac{1}{3} x + \frac{2}{3}$
204614	Find the Product	(3a^2b+2ab^2)(3a^2b-2ab^2)	$(3 a^{2} b + 2 a b^{2}) (3 a^{2} b - 2 a b^{2})$
204615	Solve Using the Quadratic Formula	8x^3-27=0	$8 x^{3} - 27 = 0$
204616	Simplify	square root of 81(x^5-2)^10	$\sqrt{81 {(x^{5} - 2)}^{10}}$
204617	Write as a Single Logarithm	log of 4x+2* log of x-3	$\log (4 x) + 2 \cdot \log (x - 3)$
204618	Solve for y	y=2x^3 , x=3	$y = 2 x^{3}$ , $x = 3$
204619	Solve for x	square root of square root of x+9 = square root of x+3	$\sqrt{\sqrt{x + 9}} = \sqrt{x + 3}$
204620	Solve for c	ab=cde	$a b = c d e$
204621	Write in Exponential Form	m root of n root of a	$\sqrt[m]{\sqrt[n]{a}}$
204622	Simplify	((3z^5)/(4x^-5y^3))^-2	${(\frac{3 z^{5}}{4 x^{- 5} y^{3}})}^{- 2}$
204623	Simplify	((ab^2)^3)/(a^5b^3)	$\frac{{(a b^{2})}^{3}}{a^{5} b^{3}}$
204624	Solve the Inequality for c	E=mc^2	$E = m c^{2}$
204625	Evaluate	(5/11)÷8-7/22*1/7	$\frac{5}{11} \div 8 - \frac{7}{22} \cdot \frac{1}{7}$
204626	Simplify	(36a^4b^0c^48)(2a^0b^-6c^-28)	$(36 a^{4} b^{0} c^{48}) (2 a^{0} b^{- 6} c^{- 28})$
204627	Solve the Inequality for x	square root of 4x-4-2<4	$\sqrt{4 x - 4} - 2 < 4$
204628	Factor	x^3-3x^2-10x-x^2+3x+10	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10$
204629	Find the Exact Value	(4((3-5)^2-2(5/2-6/4)^3)+6(8/12))- square root of 25	$(4 ({(3 - 5)}^{2} - 2 {(\frac{5}{2} - \frac{6}{4})}^{3}) + 6 (\frac{8}{12})) - \sqrt{25}$
204630	Write in Exponential Form	-29 root of (4n)/(m^5p)	$\sqrt[- 29]{\frac{4 n}{m^{5} p}}$
204631	Solve for c	-20+18c=6c+14+10c	$- 20 + 18 c = 6 c + 14 + 10 c$
204632	Simplify	(2 square root of 10)/( square root of 5+ square root of 6- square root of 7)	$\frac{2 \sqrt{10}}{\sqrt{5} + \sqrt{6} - \sqrt{7}}$
204633	Solve for x	square root of 15x+10=2x+3	$\sqrt{15 x + 10} = 2 x + 3$
204634	Simplify	( square root of 7x+3)( square root of 7x-3)	$(\sqrt{7 x} + 3) (\sqrt{7 x} - 3)$
204635	Find the Parallel Line	through: (4,2) ; parallel to y=-3/4x-5	through: $(4, 2)$ ; parallel to $y = - \frac{3}{4} x - 5$
204636	Solve for x	-hx+4=2x-1	$- h x + 4 = 2 x - 1$
204637	Simplify	2 square root of 18+3 cube root of 27-4 cube root of 16	$2 \sqrt{18} + 3 \sqrt[3]{27} - 4 \sqrt[3]{16}$
204638	Solve the Inequality for n	n+2<6	$n + 2 < 6$
204639	Multiply	pi/2*2	$\frac{π}{2} \cdot 2$
204640	Solve for x	(x^2+x)/2=(8x-7)/3	$\frac{x^{2} + x}{2} = \frac{8 x - 7}{3}$
204641	Simplify	(5v^2-3v^4-7v+6v^3)-(8v^4+6+4v^3-6v)	$(5 v^{2} - 3 v^{4} - 7 v + 6 v^{3}) - (8 v^{4} + 6 + 4 v^{3} - 6 v)$
204642	Evaluate	e-1/e	$e - \frac{1}{e}$
204643	Solve the Rational Equation for v	square root of v-4=3	$\sqrt{v - 4} = 3$
204644	Simplify	4j^2k^6(2j^11)^3k^5	$4 j^{2} k^{6} {(2 j^{11})}^{3} k^{5}$
204645	Solve for x	2sin(pi/3x) = square root of 2	$2 \sin (\frac{π}{3} x) = \sqrt{2}$
204646	Evaluate	((-4)^-2)÷(4^-4)	${(- 4)}^{- 2} \div 4^{- 4}$
204647	Simplify	1/27x(6x^2+4x-2)-1/25x(4x^2+6x-2)	$\frac{1}{2} \cdot 7 x (6 x^{2} + 4 x - 2) - \frac{1}{2} \cdot 5 x (4 x^{2} + 6 x - 2)$
204648	Simplify the Radical Expression	4 square root of 98+ square root of 150-2 square root of 32	$4 \sqrt{98} + \sqrt{150} - 2 \sqrt{32}$
204649	Simplify the Radical Expression	(v^-1)^(1/9)	${(v^{- 1})}^{\frac{1}{9}}$
204650	Solve for z	0.3z=2(z-8.5)	$0.3 z = 2 (z - 8.5)$
204651	Evaluate	fourth root of 16x^8y^4	$\sqrt[4]{16 x^{8} y^{4}}$
204652	Graph	5x-2>13 or -4x>=8	$5 x - 2 > 13$ or $- 4 x \geq 8$
204653	Factor	(2x^3y-3y)^2	${(2 x^{3} y - 3 y)}^{2}$
204654	Simplify	(4x^4+7x^2+6x)-(x^3-7x+10)	$(4 x^{4} + 7 x^{2} + 6 x) - (x^{3} - 7 x + 10)$
204655	Determine if True	sec(x)-tan(x)sin(x)=1/(sec(x))	$\sec (x) - \tan (x) \sin (x) = \frac{1}{\sec (x)}$
204656	Simplify	( square root of 180x^2y^5)/( square root of 10x^2)	$\frac{\sqrt{180 x^{2} y^{5}}}{\sqrt{10 x^{2}}}$
204657	Solve for x	log base 6 of 3x^2-3- log base 6 of 2x+5=0	$\log_{6} (3 x^{2} - 3) - \log_{6} (2 x + 5) = 0$
204658	Solve for z	(4z)/3-2=2z	$\frac{4 z}{3} - 2 = 2 z$
204659	Solve for x	1/4(x-7)=1+3x	$\frac{1}{4} (x - 7) = 1 + 3 x$
204660	Write in Standard Form	3x^2-5x-4+x^3	$3 x^{2} - 5 x - 4 + x^{3}$
204661	Solve for x	3^(x+3)-3^(x+2)+3^(x+1)-3^x=60^x	$3^{x + 3} - 3^{x + 2} + 3^{x + 1} - 3^{x} = 60^{x}$
204662	Find the Roots (Zeros)	f(x)=x^6-2x^5-5x^4+6x^3	$f (x) = x^{6} - 2 x^{5} - 5 x^{4} + 6 x^{3}$
204663	Evaluate	36÷((3^2)÷(3/4))-2.4	$36 \div (3^{2} \div \frac{3}{4}) - 2.4$
204664	Simplify	(2 cube root of 3)^3	${(2 \sqrt[3]{3})}^{3}$
204665	Simplify the Radical Expression	square root of 4^3	$\sqrt{4^{3}}$
204666	Graph Using a Table of Values	f(x)=(1/2)^(x+4)-3	$f (x) = {(\frac{1}{2})}^{x + 4} - 3$
204667	Find the Degree, Leading Term, and Leading Coefficient	f(x)=6x+7x^3+4x^2+6-x^4	$f (x) = 6 x + 7 x^{3} + 4 x^{2} + 6 - x^{4}$
204668	Graph	2x-2y=4 -x+y=-2	$2 x - 2 y = 4$ $- x + y = - 2$
204669	Simplify	- square root of 3/7	$- \sqrt{\frac{3}{7}}$
204670	Simplify	4a square root of (16x+16y)/36	$4 a \sqrt{\frac{16 x + 16 y}{36}}$
204671	Simplify	i^20i^25i^23*i^18	$i^{20} \cdot i^{25} \cdot i^{23} \cdot i^{18}$
204672	Find the Inverse	y=5^(x/2)	$y = 5^{\frac{x}{2}}$
204673	Solve for b	3b=2/3	$3 b = \frac{2}{3}$
204674	Simplify	(-6a^2b)*(1/2ab)	$(- 6 a^{2} b) \cdot (\frac{1}{2} a b)$
204675	Write the Fraction in Simplest Form	(6w^8)/(2(w^4)^4)	$\frac{6 w^{8}}{2 {(w^{4})}^{4}}$
204676	Solve the Inequality for c	\|-2c-3\|>-4	$\| - 2 c - 3 \| > - 4$
204677	Write in Exponential Form	n root of x^n	$\sqrt[n]{x^{n}}$
204678	Evaluate	3+2+8÷4(4-2)	$3 + 2 + 8 \div 4 (4 - 2)$
204679	Find the Exact Value	cot(-(13pi)/6)	$\cot (- \frac{13 π}{6})$
204680	Simplify	xy cube root of 54x^7y^10	$x y \sqrt[3]{54 x^{7} y^{10}}$
204681	Solve for x	(1/9)^(-2x+46)=3^(-2x^2+4)	${(\frac{1}{9})}^{- 2 x + 46} = 3^{- 2 x^{2} + 4}$
204682	Graph	-8x>-24 and -10<=2x-6	$- 8 x > - 24$ and $- 10 \leq 2 x - 6$
204683	Solve for x	(1/125)^(-4x-10)=(1/5)^(-2x^2-16)	${(\frac{1}{125})}^{- 4 x - 10} = {(\frac{1}{5})}^{- 2 x^{2} - 16}$
204684	Simplify	cube root of (x^15)/(y^6)	$\sqrt[3]{\frac{x^{15}}{y^{6}}}$
204685	Solve for x	81^(-3x-84)=(1/9)^(3x^2+9x)	$81^{- 3 x - 84} = {(\frac{1}{9})}^{3 x^{2} + 9 x}$
204686	Simplify the Radical Expression	square root of 5^9	$\sqrt{5^{9}}$
204687	Find the End Behavior	f(x)=-960x^2+60x^4+6x^6+42x^5-1248x-240x^3-576	$f (x) = - 960 x^{2} + 60 x^{4} + 6 x^{6} + 42 x^{5} - 1248 x - 240 x^{3} - 576$
204688	Solve for x	2^(4(x-3))=16^(x+1)	$2^{4 (x - 3)} = 16^{x + 1}$
204689	Solve for x	3+(1/x-2)=27	$3 + (\frac{1}{x} - 2) = 27$
204690	Solve for m	cube root of m=3	$\sqrt[3]{m} = 3$
204691	Evaluate	square root of 10-x^2+6<\|10-x^2\|	$\sqrt{10 - x^{2}} + 6 < \| 10 - x^{2} \|$
204692	Solve for x	5(2x+4)-3(4x-6)=2(20-x)	$5 (2 x + 4) - 3 (4 x - 6) = 2 (20 - x)$
204693	Factor	(m-n)+s*(n-m)	$(m - n) + s \cdot (n - m)$
204694	Solve for x	(x-2)/5+3=12	$\frac{x - 2}{5} + 3 = 12$
204695	Determine if Dependent, Independent, or Inconsistent	3x+y=-5 3y+15=-9x	$3 x + y = - 5$ $3 y + 15 = - 9 x$
204696	Factor by Grouping	x^4+a^2x^2+b^2x^2+a^2b^2	$x^{4} + a^{2} x^{2} + b^{2} x^{2} + a^{2} b^{2}$
204697	Determine if a Polynomial	(x^4)/8-4x^2 square root of 2	$\frac{x^{4}}{8} - 4 x^{2} \sqrt{2}$
204698	Expand the Logarithmic Expression	log base 3 of fourth root of m^5n^2	$\log_{3} (\sqrt[4]{m^{5} n^{2}})$
204699	Find the Exact Value	sin(theta)+cos(theta)*cot(theta)	$\sin (θ) + \cos (θ) \cdot \cot (θ)$
204700	Simplify	7 cube root of 16* cube root of 8	$7 \sqrt[3]{16} \cdot \sqrt[3]{8}$