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

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Question 161262: pg 276
Simplify each expression:
-(x^2y^2)^2=?
Click here to see answer by jim_thompson5910(35256)

Question 161288: 2y^2+5 when y=3 Do you do the exponent first?

Click here to see answer by vleith(2983)

Question 161452: Hi, I'm having a real difficult time understanding why the answer to the following problem is like it is.

x^3y^2/5xy6
My text book shows the answer as x^2/5y^4
Why does x go in the numerator, and y in the denominator?
My text book fails to explain why this is.
When subtracting the y exponents, the larger number is the denominator, and the smaller number is in the numerator, so shouldn't the end result look like this:
1/5x^2y^4

I can't get past this. I'd really appreciate any help.
Click here to see answer by nerdybill(7384)

Question 161664: I haven't done a problem like this for several years and I don't remember how to solve it! It's driving me crazy! Here is the problem:
1024=2^n-1. Solve for n.
I don't remember how to bring the exponent (n-1) down so that I can solve for n.
Click here to see answer by jim_thompson5910(35256)

Question 161758: how would i do this problum?
Click here to see answer by Fombitz(32388)

Question 161757: how would i do this problum?
Click here to see answer by gonzo(654)

Question 161757: how would i do this problum?
Click here to see answer by Alan3354(69443)

Question 161849: 70=19-3x
Click here to see answer by checkley77(12844)

Question 161863:
I'm working on expression using only positive exponents . I have 7p-6
I think the answer is 1
_________
7p6 does this look correct? Also Y12. Y12

I think that answer is Y24 Am I right in my thinking?
Click here to see answer by jim_thompson5910(35256)

Question 161858: -6
I'm working on expression using only positive exponents . I have 7p
I think the answer is 1
_________ 12 -12
7p6 does this look correct? Also Y . Y
24
I think that answer is Y Am I right in my thinking?
Click here to see answer by edjones(8007)

Question 162167: is (-3)^2 equal -3^2?
Click here to see answer by Alan3354(69443)

Question 162599: (x^4 + x^2 - 3x + 5) / (x^2 + 2)
solve by using longg divison. thank youuu !
Click here to see answer by vleith(2983)

Question 163180: Can you help with this please.
1.733985 = 1.035^n
How do I work out what n is? I know that it is 16 on this occasion but don't know how to do the maths to get 16 as the answer.
Thanks
Darren
Click here to see answer by Earlsdon(6294)

Question 163321: how would you solve this
(6.4 x 10^6) / (8.9 x 10^2)

Click here to see answer by checkley77(12844)

Question 163458: (u^8z^7 ) / (z^3u^ -2 )
I have that this can't be simplied anymore. I think I'm correct just want to make sure.
36^1/2/15^2
I'm really lost on this one I want to go ahead a ^2 15 and get 225, but I come put with a decimal as the answer.
Click here to see answer by checkley77(12844)

Question 163882: We have the answer to this problem, but we are unsure of how it was solved. Obviously we got a different answer�.please help!
x� + 2x� if x=20

Click here to see answer by jim_thompson5910(35256)

Question 163979: A rectangular light-switch plate is made according to the following dimensions. The length is 7 inches, and the width is 5.5 inches; a rectangular hole measuring 1.2 inches by 0.3 inches is left in the center. (See diagram below) (a) How many square inches in area is the light-switch plate (the shaded region)? (b) If the cost to construct the plate is $4.27 per square inch, what is the construction cost?
Click here to see answer by nerdybill(7384)

Question 163989: A semicircular window of radius 15 inches is to be laminated with a sunblock coating that costs $0.85 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (Use p = 3.14. Hint: Area of Circle: A = pr�)
Click here to see answer by nerdybill(7384)

Question 164257: Simplify (-5a^-2b^2)(-3a^3b^-4)
Click here to see answer by jim_thompson5910(35256)

Question 164257: Simplify (-5a^-2b^2)(-3a^3b^-4)
Click here to see answer by padmameesala(42)

Question 164344: Factor completely as possible.
9x^2-39x-30
Factor by grouping
10x^2-4xy-15xy+6y^2
Click here to see answer by jim_thompson5910(35256)

Question 164344: Factor completely as possible.
9x^2-39x-30
Factor by grouping
10x^2-4xy-15xy+6y^2
Click here to see answer by Earlsdon(6294)

Question 164452: x to the 5th power plus y to the 5th power divided by x plus y. Can you please help?
Click here to see answer by jim_thompson5910(35256)

Question 164452: x to the 5th power plus y to the 5th power divided by x plus y. Can you please help?
Click here to see answer by padmameesala(42)

Question 164663: Express using a positive exponent
c^-6
(simply your answer. type a positive exponent)
Click here to see answer by Alan3354(69443)

Question 164663: Express using a positive exponent
c^-6
(simply your answer. type a positive exponent)
Click here to see answer by Mathtut(3670)

Question 161860:
I'm working on expression using only positive exponents . I have 7p-6
I think the answer is 1
_________
7p6 does this look correct? Also Y12. Y12

I think that answer is Y24 Am I right in my thinking?
Click here to see answer by Alan3354(69443)

Question 164695: sorry I made a mistake when I typed it in:
(4^-2 x y^-3/x^-3 y)^3 times (8^-1 x^-2 y/x^4 y^-1)^-2 = answer x^24/64y^16 - I cannot figure out how to get the 64 in the answer.
Click here to see answer by Fombitz(32388)

Question 164730: evaluate is m=-2 and n=3: m^-2+n^-1

-2^-2+3^-1 = -8+(-3) = -11?

Click here to see answer by edjones(8007)

Question 164728: (3m^-2p^-4/m^-1p^-3)^-2
We are supposed to write the final answer without negative exponents and completely evaluate. I would know how to do it if there wasn't the negitive 2 exponent outside the ().
Click here to see answer by checkley77(12844)

Question 164741: Multiply and simplify. Assume variables represent nonzero real numbers.
c^15*c^0
Click here to see answer by checkley77(12844)

Question 164743: use rational exponents to write x^1/8*y^1/4*z^1/2 as a single radical expression.
Click here to see answer by Mathtut(3670)

Question 164864: What is the ones's digit of 8^1007?

THANK YOU SO MUCH!
Click here to see answer by Alan3354(69443)

Question 164864: What is the ones's digit of 8^1007?

THANK YOU SO MUCH!
Click here to see answer by gonzo(654)

Question 161750: how would you do this problum?
Click here to see answer by Alan3354(69443)

Question 165340: Explain why the solution set of |3x/50 + 1/45|>= -4/5 is the set of all real numbers.
Click here to see answer by gonzo(654)

Question 165534: (3x^2)^3(2x)^4
Click here to see answer by Fombitz(32388)

Question 165649: what is a to the zero power
Click here to see answer by Alan3354(69443)

Question 165902: 1.7N=7.71 N=? Can you tell me how to solve this?
Click here to see answer by tutorcecilia(2152)

Question 166888: ((5^2/3)^1/5)^2
Click here to see answer by Fombitz(32388)

Question 167069: (2.5 multiplied by 10 to the 7th power)+(5.5 multiplied by 10 to the 6th power)
Click here to see answer by checkley77(12844)

Question 167069: (2.5 multiplied by 10 to the 7th power)+(5.5 multiplied by 10 to the 6th power)
Click here to see answer by Alan3354(69443)

Question 167283: Simplify
(2xy/5)^-2
Click here to see answer by jim_thompson5910(35256)

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