Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
95501	Simplify	(x^7)^-6	${(x^{7})}^{- 6}$
95502	Simplify	(x^4y^5)^3	${(x^{4} y^{5})}^{3}$
95503	Simplify	(x^4y^2)^3	${(x^{4} y^{2})}^{3}$
95504	Simplify	(x^-4)^5	${(x^{- 4})}^{5}$
95505	Simplify	(y^3)^5	${(y^{3})}^{5}$
95506	Simplify	(y^-4)^3	${(y^{- 4})}^{3}$
95507	Simplify	(x^m)^n	${(x^{m})}^{n}$
95508	Simplify	(x^9)^3	${(x^{9})}^{3}$
95509	Find the Function Rule	table[[x,y],[1,4],[2,8],[3,16]]	$\begin{array}{c} x & y \\ 1 & 4 \\ 2 & 8 \\ 3 & 16 \end{array}$
95510	Simplify	(x^9)^6	${(x^{9})}^{6}$
95511	Find the Function Rule	table[[x,y],[2,-18],[6,-27],[10,-36]]	$\begin{array}{c} x & y \\ 2 & - 18 \\ 6 & - 27 \\ 10 & - 36 \end{array}$
95512	Simplify	(e^x)^2	${(e^{x})}^{2}$
95513	Simplify	(n^7)^2	${(n^{7})}^{2}$
95514	Find the Function Rule	table[[x,y],[0,0],[1,3],[2,6]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 3 \\ 2 & 6 \end{array}$
95515	Simplify	(p^2)^3	${(p^{2})}^{3}$
95516	Find the Function Rule	table[[x,y],[1,2],[3,-2],[5,2]]	$\begin{array}{c} x & y \\ 1 & 2 \\ 3 & - 2 \\ 5 & 2 \end{array}$
95517	Simplify	(b^2)^2	${(b^{2})}^{2}$
95518	Find the Function Rule	table[[x,y],[-2,-6],[-1,-5],[0,-4]]	$\begin{array}{c} x & y \\ - 2 & - 6 \\ - 1 & - 5 \\ 0 & - 4 \end{array}$
95519	Simplify	(x/5)^4	${(\frac{x}{5})}^{4}$
95520	Find the Function Rule	table[[x,y],[3,14],[5,8.4],[7,6]]	$\begin{array}{c} x & y \\ 3 & 14 \\ 5 & 8.4 \\ 7 & 6 \end{array}$
95521	Simplify	(x/8)^3	${(\frac{x}{8})}^{3}$
95522	Find the Function Rule	table[[x,y],[1,22],[2,26.9],[3,31.8]]	$\begin{array}{c} x & y \\ 1 & 22 \\ 2 & 26.9 \\ 3 & 31.8 \end{array}$
95523	Simplify	(w^7)^-5	${(w^{7})}^{- 5}$
95524	Find the Function Rule	table[[x,y],[1,0.10],[2,0.20],[3,0.30]]	$\begin{array}{c} x & y \\ 1 & 0.1 \\ 2 & 0.2 \\ 3 & 0.3 \end{array}$
95525	Simplify	(-(3x^4)/(2y^5))^-3	${(- \frac{3 x^{4}}{2 y^{5}})}^{- 3}$
95526	Find the Function Rule	table[[x,y],[1,29],[2,47],[3,65]]	$\begin{array}{c} x & y \\ 1 & 29 \\ 2 & 47 \\ 3 & 65 \end{array}$
95527	Simplify	((3xy^-3)/(z^2))^4	${(\frac{3 x y^{- 3}}{z^{2}})}^{4}$
95528	Find the Function Rule	table[[x,y],[0,0],[1,-0.25],[2,-1],[3,-2.25],[4,-4]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & - 0.25 \\ 2 & - 1 \\ 3 & - 2.25 \\ 4 & - 4 \end{array}$
95529	Find the Function Rule	table[[x,y],[13,2.3],[17,2.7],[21,3.1]]	$\begin{array}{c} x & y \\ 13 & 2.3 \\ 17 & 2.7 \\ 21 & 3.1 \end{array}$
95530	Simplify	((2x^-3)/(3y^-4))^-2	${(\frac{2 x^{- 3}}{3 y^{- 4}})}^{- 2}$
95531	Find the Function Rule	table[[x,y],[3,2],[6,4],[9,6]]	$\begin{array}{c} x & y \\ 3 & 2 \\ 6 & 4 \\ 9 & 6 \end{array}$
95532	Simplify	((2pi)/(q^2))^5((3pi^7)/(q^-7))^-1	${(\frac{2 π}{q^{2}})}^{5} {(\frac{3 π^{7}}{q^{- 7}})}^{- 1}$
95533	Find the Function Rule	table[[x,y],[1,2],[2,4],[3,8],[4,16],[5,32]]	$\begin{array}{c} x & y \\ 1 & 2 \\ 2 & 4 \\ 3 & 8 \\ 4 & 16 \\ 5 & 32 \end{array}$
95534	Find the Function Rule	table[[x,y],[1,3],[2,4],[3,5],[4,6],[5,7]]	$\begin{array}{c} x & y \\ 1 & 3 \\ 2 & 4 \\ 3 & 5 \\ 4 & 6 \\ 5 & 7 \end{array}$
95535	Simplify	((8x^9y^3)/(27x^2y^12))^(2/3)	${(\frac{8 x^{9} y^{3}}{27 x^{2} y^{12}})}^{\frac{2}{3}}$
95536	Simplify	((8x^3)/27)^(2/3)	${(\frac{8 x^{3}}{27})}^{\frac{2}{3}}$
95537	Simplify	(a^2)^-3(a^3b)^2(b^3)^4	${(a^{2})}^{- 3} {(a^{3} b)}^{2} {(b^{3})}^{4}$
95538	Find the Function Rule	table[[x,y],[-35,18],[-28,14],[-21,10]]	$\begin{array}{c} x & y \\ - 35 & 18 \\ - 28 & 14 \\ - 21 & 10 \end{array}$
95539	Find the Function Rule	table[[x,y],[3,64],[4,256],[5,1024]]	$\begin{array}{c} x & y \\ 3 & 64 \\ 4 & 256 \\ 5 & 1024 \end{array}$
95540	Simplify	(a^3b)^4(ab^6)^2	${(a^{3} b)}^{4} {(a b^{6})}^{2}$
95541	Find the Function Rule	table[[x,y],[-2,-8],[-1,-5],[0,-2],[1,1],[2,4]]	$\begin{array}{c} x & y \\ - 2 & - 8 \\ - 1 & - 5 \\ 0 & - 2 \\ 1 & 1 \\ 2 & 4 \end{array}$
95542	Simplify	(-a^2b)^4(-a^2b^4)	${(- a^{2} b)}^{4} (- a^{2} b^{4})$
95543	Find the Function Rule	table[[x,y],[1,16],[2,64],[3,256]]	$\begin{array}{c} x & y \\ 1 & 16 \\ 2 & 64 \\ 3 & 256 \end{array}$
95544	Simplify	(a^(2/3))^3c^4	${(a^{\frac{2}{3}})}^{3} c^{4}$
95545	Simplify	((5s)/(6t))^-2	${(\frac{5 s}{6 t})}^{- 2}$
95546	Find the Function Rule	table[[x,f(x)],[9,2],[27,3],[81,4]]	$\begin{array}{c} x & f (x) \\ 9 & 2 \\ 27 & 3 \\ 81 & 4 \end{array}$
95547	Find the Function Rule	table[[x,y],[-5,-36],[-4,-25],[-3,-16]]	$\begin{array}{c} x & y \\ - 5 & - 36 \\ - 4 & - 25 \\ - 3 & - 16 \end{array}$
95548	Simplify	(2ab^2)^3	${(2 a b^{2})}^{3}$
95549	Simplify	(-2ab^2)^3	${(- 2 a b^{2})}^{3}$
95550	Find the Function Rule	table[[x,y],[-5,18.5],[-2,15.5],[-1,14.5]]	$\begin{array}{c} x & y \\ - 5 & 18.5 \\ - 2 & 15.5 \\ - 1 & 14.5 \end{array}$
95551	Simplify	(-1-i)^2	${(- 1 - i)}^{2}$
95552	Find the Function Rule	table[[x,y],[1,5],[3,15],[4,20]]	$\begin{array}{c} x & y \\ 1 & 5 \\ 3 & 15 \\ 4 & 20 \end{array}$
95553	Find the Function Rule	table[[x,y],[0,3],[1,5],[2,7]]	$\begin{array}{c} x & y \\ 0 & 3 \\ 1 & 5 \\ 2 & 7 \end{array}$
95554	Simplify	(0.2a^2b^3)^2	${(0.2 a^{2} b^{3})}^{2}$
95555	Find the Function Rule	table[[x,y],[1,34],[2,56],[3,78]]	$\begin{array}{c} x & y \\ 1 & 34 \\ 2 & 56 \\ 3 & 78 \end{array}$
95556	Simplify	(1+4i)^2	${(1 + 4 i)}^{2}$
95557	Find the Function Rule	table[[x,y],[3,6.50],[7,12.50],[11,18.50]]	$\begin{array}{c} x & y \\ 3 & 6.5 \\ 7 & 12.5 \\ 11 & 18.5 \end{array}$
95558	Simplify	(-125)^(2/3)	${(- 125)}^{\frac{2}{3}}$
95559	Find the Function Rule	table[[x,y],[1,4],[2,7],[3,10]]	$\begin{array}{c} x & y \\ 1 & 4 \\ 2 & 7 \\ 3 & 10 \end{array}$
95560	Find the Function Rule	table[[x,y],[216,3],[1296,4],[7776,5]]	$\begin{array}{c} x & y \\ 216 & 3 \\ 1296 & 4 \\ 7776 & 5 \end{array}$
95561	Simplify	(2y^2)^5	${(2 y^{2})}^{5}$
95562	Find the Function Rule	table[[x,y],[1,-4],[7,-7],[13,-10]]	$\begin{array}{c} x & y \\ 1 & - 4 \\ 7 & - 7 \\ 13 & - 10 \end{array}$
95563	Simplify	(2xy^3)^4	${(2 x y^{3})}^{4}$
95564	Find the Function Rule	table[[x,y],[1,34],[2,50],[3,66]]	$\begin{array}{c} x & y \\ 1 & 34 \\ 2 & 50 \\ 3 & 66 \end{array}$
95565	Simplify	(-2x^2y^4)^3	${(- 2 x^{2} y^{4})}^{3}$
95566	Simplify	(-2x^5)^3(-5xy^6)^2	${(- 2 x^{5})}^{3} {(- 5 x y^{6})}^{2}$
95567	Find the Function Rule	table[[x,y],[2,16.00],[4,32.00],[6,48.00]]	$\begin{array}{c} x & y \\ 2 & 16 \\ 4 & 32 \\ 6 & 48 \end{array}$
95568	Simplify	(2x^-3y^4)^-2	${(2 x^{- 3} y^{4})}^{- 2}$
95569	Simplify	(2x^3y^-4)^-3	${(2 x^{3} y^{- 4})}^{- 3}$
95570	Find the Function Rule	table[[x,y],[1,7],[2,12],[3,17]]	$\begin{array}{c} x & y \\ 1 & 7 \\ 2 & 12 \\ 3 & 17 \end{array}$
95571	Solve for x	square root of x+2 = square root of 2x-3	$\sqrt{x + 2} = \sqrt{2 x - 3}$
95572	Solve the Matrix Equation	-4X-[[-8,-17,4],[-16,-29,17]]=[[-24,-3,-16],[12,-3,15]]	$- 4 X - [\begin{array}{c} - 8 & - 17 & 4 \\ - 16 & - 29 & 17 \end{array}] = [\begin{array}{c} - 24 & - 3 & - 16 \\ 12 & - 3 & 15 \end{array}]$
95573	Solve the Matrix Equation	[[4x,3y]]=[[-12,15]]	$[\begin{array}{c} 4 x & 3 y \end{array}] = [\begin{array}{c} - 12 & 15 \end{array}]$
95574	Solve the Matrix Equation	A=[[3,6,9],[2,4,8]]	$A = [\begin{array}{c} 3 & 6 & 9 \\ 2 & 4 & 8 \end{array}]$
95575	Solve for x	cube root of 2x+1=2	$\sqrt[3]{2 x + 1} = 2$
95576	Solve the Matrix Equation	[[3+t,0],[8,-10]]=[[-5,0],[8,-2y+2]]	$[\begin{array}{c} 3 + t & 0 \\ 8 & - 10 \end{array}] = [\begin{array}{c} - 5 & 0 \\ 8 & - 2 y + 2 \end{array}]$
95577	Solve for x	x^-2-x^-1-6=0	$x^{- 2} - x^{- 1} - 6 = 0$
95578	Solve the Matrix Equation	x-[[2,5],[-5,2]]=[[6,-4],[3,0]]	$x - [\begin{array}{c} 2 & 5 \\ - 5 & 2 \end{array}] = [\begin{array}{c} 6 & - 4 \\ 3 & 0 \end{array}]$
95579	Solve for x	x^2-20=0	$x^{2} - 20 = 0$
95580	Solve the Matrix Equation	4x+[[1,0],[0,1]]=[[21,20],[4,5]]	$4 x + [\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}] = [\begin{array}{c} 21 & 20 \\ 4 & 5 \end{array}]$
95581	Solve the Matrix Equation	[[-9,5],[-7,3]]x=[[-4],[-5]]	$[\begin{array}{c} - 9 & 5 \\ - 7 & 3 \end{array}] x = [\begin{array}{c} - 4 \\ - 5 \end{array}]$
95582	Graph	f(x)=2*5^x	$f (x) = 2 \cdot 5^{x}$
95583	Solve the Matrix Equation	[[2,5],[1,3]]x=[[2],[0]]	$[\begin{array}{c} 2 & 5 \\ 1 & 3 \end{array}] x = [\begin{array}{c} 2 \\ 0 \end{array}]$
95584	Solve the Matrix Equation	2x-3[[2,-8],[-4,2]]=[[4,-6],[2,-8]]	$2 x - 3 [\begin{array}{c} 2 & - 8 \\ - 4 & 2 \end{array}] = [\begin{array}{c} 4 & - 6 \\ 2 & - 8 \end{array}]$
95585	Solve for x	x^2-2x+17=0	$x^{2} - 2 x + 17 = 0$
95586	Solve the Matrix Equation	X-[[8,-5,4],[3,-9,2],[0,1,-2]]=[[4,12,-12],[7,0,-1],[8,2,2]]	$X - [\begin{array}{c} 8 & - 5 & 4 \\ 3 & - 9 & 2 \\ 0 & 1 & - 2 \end{array}] = [\begin{array}{c} 4 & 12 & - 12 \\ 7 & 0 & - 1 \\ 8 & 2 & 2 \end{array}]$
95587	Solve for x	x^2-2x-6=0	$x^{2} - 2 x - 6 = 0$
95588	Solve for x	x^2-2x-9=0	$x^{2} - 2 x - 9 = 0$
95589	Solve the Matrix Equation	1/5X+[[4,7],[2,1],[8,6]]=[[9,-4],[-2,8],[-3,7]]	$\frac{1}{5} X + [\begin{array}{c} 4 & 7 \\ 2 & 1 \\ 8 & 6 \end{array}] = [\begin{array}{c} 9 & - 4 \\ - 2 & 8 \\ - 3 & 7 \end{array}]$
95590	Find the Domain and Range	f(x) = log of x-1+2	$f (x) = \log (x - 1) + 2$
95591	Solve the Matrix Equation	[[2,3],[1,1]]x=[[0],[7]]	$[\begin{array}{c} 2 & 3 \\ 1 & 1 \end{array}] x = [\begin{array}{c} 0 \\ 7 \end{array}]$
95592	Solve the Matrix Equation	a=[[6,9,-1],[0,2,4],[7,8,2]]	$a = [\begin{array}{c} 6 & 9 & - 1 \\ 0 & 2 & 4 \\ 7 & 8 & 2 \end{array}]$
95593	Simplify	x/(x+5)*(x^2-25)/(2x)	$\frac{x}{x + 5} \cdot \frac{x^{2} - 25}{2 x}$
95594	Solve the Matrix Equation	[[9,5],[7,-4]]x=[[2],[1]]	$[\begin{array}{c} 9 & 5 \\ 7 & - 4 \end{array}] x = [\begin{array}{c} 2 \\ 1 \end{array}]$
95595	Simplify	square root of 20- square root of 80+ square root of 125	$\sqrt{20} - \sqrt{80} + \sqrt{125}$
95596	Simplify	(p^9)^-2	${(p^{9})}^{- 2}$
95597	Find the Center	x^2+6x+4y^2-24y+9=0	$x^{2} + 6 x + 4 y^{2} - 24 y + 9 = 0$
95598	Solve for x	x^2-12x=0	$x^{2} - 12 x = 0$
95599	Find the Center	((y-2)^2)/16-((x+1)^2)/144=1	$\frac{{(y - 2)}^{2}}{16} - \frac{{(x + 1)}^{2}}{144} = 1$
95600	Solve for x	x^2-10x+61=0	$x^{2} - 10 x + 61 = 0$