Questions on Algebra: Exponents and operations on exponents answered by real tutors!

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Question 982688: (27x^-3y^6)^2
Click here to see answer by CubeyThePenguin(3113)

Question 987941: simplify expression and eliminate any negative exponents (x^3y^-2/x^-3y^2)^-2
Click here to see answer by CubeyThePenguin(3113)

Question 980830: 6 to the second power / 2 * 3
Click here to see answer by CubeyThePenguin(3113)

Question 980830: 6 to the second power / 2 * 3
Click here to see answer by josgarithmetic(39613)

Question 981734: 7^70-8^78=?
Click here to see answer by CubeyThePenguin(3113)

Question 988031: Decide how many solutions the equation has: y=1/3 x^2 +2x-3
Click here to see answer by ikleyn(52750)

Question 1176791: (-1)^(-1)^(-1)
Click here to see answer by ewatrrr(24785)

Question 1177015: Determine whether the table could represent a function that is linear, exponential, or neither. If it appears to be exponential, find a function that passes through the points.
x: 1, 2, 3, 4
h(x): 70, 49, 34.3, 24.01
Click here to see answer by MathLover1(20849)

Question 1178912: What are the steps is solving this problem?
(2/5)^-3
Click here to see answer by ikleyn(52750)

Question 1179352: 3^2(x+1) - 8×3^x+1 = 9

Click here to see answer by greenestamps(13195)

Question 1179387: Evaluate: (-1)^2/3
In general, how can I evaluate when the base is negative and the exponent is a fraction?
Click here to see answer by ikleyn(52750)

Question 1180626: (5a-4)x2-9a
Click here to see answer by josgarithmetic(39613)

Question 1180655: 1.There are currently 61 million cars
Click here to see answer by ikleyn(52750)

Question 1181163: If 1 and w are 2 of the 5 roots of (w)^5 = 1, then prove the following:
a) (w)^2, (w)^3, and (w)^4 are the remaining roots of (w)^5 = 1
b) 1 + w + (w)^2 + (w)^3 + (w)^4 = 0
c) (w)^(5n) = 1 for any integer n
Click here to see answer by Edwin McCravy(20054)

Question 1181257: A sequence is defined recursively by f(1)=20 and fn=f(n-1)-4n find f(3)
Click here to see answer by ikleyn(52750)

Question 1181456: How to write a polynomial of degree 3, with integer coefficients that has zeros √3i and 0
Click here to see answer by MathLover1(20849)

Question 1181456: How to write a polynomial of degree 3, with integer coefficients that has zeros √3i and 0
Click here to see answer by mananth(16946)

Question 1183794: What is -3ˆ2 (-3 squared)?
And is -3ˆ2 and (-3)ˆ2 the same?
Click here to see answer by Theo(13342)

Question 1183850: When the sum of a set of numbers is divided by the average (arithmetic mean) of these numbers, the result of j. What does j represent?
A. Half of the sum of the numbers in the set
B. The average of the numbers in the set
C. Half of the average of the numbers in the set
D. The quantity of numbers in the set.
Click here to see answer by ikleyn(52750)

Question 1184035: Which of the following could be an exact value of n^4 where n is an integer?
A. 1.6 x 10^20
B. 1.6 x 10^21
C. 1.6 x 10^22
D. 1.6 x 10^23
E. 1.6 x 10^24
The correct answer is suppose to be A but I don't know how.
Click here to see answer by josgarithmetic(39613)

Question 1184060: Solve the initial value problem yy′+x=√x^2+y^2 with y(1)=√3
a)To solve this, we should use the substitution
u= My answer is y/x , wrong.
u′= My answer is (xy'-y)/x^2 , wrong.
Enter derivatives using prime notation (e.g., you would enter y′ for dy/dx).
b)After the substitution from the previous part, we obtain the following linear differential equation in x,u,u′.
My answer is xu'+u=(sqrt(1+u^2)-1)/u , wrong.
c)The solution to the original initial value problem is described by the following equation in x,y.
My answer is sqrt(x^2+y^2)-x=1 , wrong.

Click here to see answer by robertb(5830)

Question 1184629: 28p^5q^3 divided by 40p^3q^5
How do I simply this?
Click here to see answer by Alan3354(69443)

Question 1184714: Find the sum of 84 raised to 2,1,2,2,3
Click here to see answer by ikleyn(52750)

Question 1184752: f(x)=-5x+4 g(x) =3x3+5 find(6) and g(-3)
Click here to see answer by Alan3354(69443)

Question 1184752: f(x)=-5x+4 g(x) =3x3+5 find(6) and g(-3)
Click here to see answer by MathLover1(20849)

Question 1184762: Tom's gas tank is 1/2 full. After he buys 7 gallons of gas, it is 3/4 full. How many gallons can Tom's tank hold?
Click here to see answer by josgarithmetic(39613)

Question 1184806: Tom's gas tank is 1/2 full. After he buys gallons of gas, it is 3/4 full. How many gallons can Tom's tank hold?

Click here to see answer by josgarithmetic(39613)

Question 1184807: Tom's gas tank is 1/2 full. After he buys 7 gallons of gas, it is 3/4 full. How many gallons can Tom's tank hold?

Click here to see answer by josgarithmetic(39613)

Question 1184810: The general form of the equation of a quadratic is y = ax2+bx+c. If a < 0, what do you know about the graph of y = ax2+bx+c?
Click here to see answer by greenestamps(13195)

Question 1184808: 6x-5y=9
x-intercept
y-intercept
answers as exact values
Click here to see answer by greenestamps(13195)

Question 1184808: 6x-5y=9
x-intercept
y-intercept
answers as exact values
Click here to see answer by Pussy Licker(3)

Question 1184823: When plotting the data by hand, how do you determine the values that you will use on your x and y axis?
Click here to see answer by Boreal(15235)

Question 1184814: Sqrt2Z^6r^9SqrtZ^ r^7
How do i simplify assuming variables represent positive quantities?
Click here to see answer by josgarithmetic(39613)

Question 1184814: Sqrt2Z^6r^9SqrtZ^ r^7
How do i simplify assuming variables represent positive quantities?
Click here to see answer by greenestamps(13195)

Question 1185181:
How do I divide and simply this?
Click here to see answer by Edwin McCravy(20054)

Question 1185265: write 6750 as a product of prime numbers using exponents

Click here to see answer by Edwin McCravy(20054)

Question 1185265: write 6750 as a product of prime numbers using exponents

Click here to see answer by MathLover1(20849)

Question 1185265: write 6750 as a product of prime numbers using exponents

Click here to see answer by greenestamps(13195)

Question 1185782: find the number of round-trip rail tickets sold (1) Thirty times as many round trip tickets as 12 ride tickets were sold. (2) The total number of tickets sold represented was 1440
Click here to see answer by josgarithmetic(39613)

Question 1185993: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

Can you please help me with this homework question?
Click here to see answer by ikleyn(52750)

Question 1186688: A satellite orbits the earth at about 13^4 km/hr. How long would it take to complete 24 orbits, which is a distance of 13^5 km?
Click here to see answer by MathLover1(20849)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020