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

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Question 828851: I have to simplify the expression and show my work as well as understand for future. x^2-16-x-20 / 3x-15
top bottom

Click here to see answer by josgarithmetic(39613) About Me 

Question 828849: (14x^5 y^3)/(21x^7 y) I need to simplify the exponential expression understand and show my work.
Click here to see answer by Fombitz(32388) About Me 

Question 828656: +2%5E%28w%2B5%29-2%5Ew=124%28sqrt%282%29%29+
Could someone help? Thanks!

Click here to see answer by Fombitz(32388) About Me 

Question 828968: Given: 10^m = 2 & 10^n = 3
Find the value of 3.10^(3m-n)
Please help me. Thanks:)

Click here to see answer by Fombitz(32388) About Me 

Question 829492: wite 4 × 9 × 125 index form
Click here to see answer by Edwin McCravy(20054) About Me 

Question 829745: this is the problem I have about simplifying radicals. the book is extremely complicated and I cannot figure these out. I would appreciate if someone explained their steps, so maybe I could understand how to do these more. thank you!
27^-2/3
over (fraction)
27^-1/3

Click here to see answer by josmiceli(19441) About Me 
Question 829745: this is the problem I have about simplifying radicals. the book is extremely complicated and I cannot figure these out. I would appreciate if someone explained their steps, so maybe I could understand how to do these more. thank you!
27^-2/3
over (fraction)
27^-1/3

Click here to see answer by MathTherapy(10549) About Me 

Question 829760: how do you simplify (8x) to the third power times 8 to the negative fourth power?
Click here to see answer by MathLover1(20849) About Me 

Question 830065: A to the negative sixth power divided by B to the fifth power

Click here to see answer by LinnW(1048) About Me 

Question 830086: Can you help me show my work on this problem?
6^2-3^2+1^-1=

Click here to see answer by Alan3354(69443) About Me 

Question 830101: The original problem: (8n^6+3n^4+2)-(-4n^6+11n^4-13)
I simplified it to this: 12n^6-8n^4+15
I feel like it is still not simplified enough. Can the two ns be combined even though the exponents are different?

Click here to see answer by richwmiller(17219) About Me 

Question 830090: 9x^2-12=8x^2-4x
What is the value of X?

Click here to see answer by TimothyLamb(4379) About Me 

Question 830256: Hello,
I am doing a price supply and demand problem. The problem i am having is that my x(2) and Y(2) are less than my x(1) and Y(1). The equation is as follows(1.82-1.94)/(9,400-9,800). I keep getting (-.12/-400). My calculator gives me the answer 3E-4. What does 3E-4 mean, and what does it convert into. Thank you

Click here to see answer by Fombitz(32388) About Me 

Question 829404: 1/2 [(x+y)×(x+y)-(x-y)×(x-y)]=___________ if xy= 125
Click here to see answer by Fombitz(32388) About Me 

Question 830344: x^2+x-12<0
Click here to see answer by stanbon(75887) About Me 

Question 829600: 6-4^2+10-3^2
6-16+10-9
6+10-16-9
16-23
-7
Is this correct?

Click here to see answer by Fombitz(32388) About Me 

Question 830762: +-%283%29%2F%282%2Asqrt%28x%5E5%29%29+=+-%283%2Asqrt%28x%29%29%2F%282x%5E3%29+ is true when x>0
i know that +sqrt%28x%29=x%5E%281%2F2%29+ and that when moving a variable from the numerator to the denominator we change the sign of the exponent,, yet i still can't figure how did the left part become the right part of the equation?
could you show me a step by step operation
and i've checked it at wolframalpha[dot]com [-(3)\(2*sqrt(x^5))=-(3*sqrt(x))/(2x^3)] and it says it's true so there's no error in the equation

Click here to see answer by Edwin McCravy(20054) About Me 

Question 831116: How do i simplify without the use of a calculator?
Click here to see answer by Alan3354(69443) About Me 

Question 831607: If x is a real number, find the minimum value of
+3%5E%28x%5E2+-+4x%2B8%29
Please Help! Thanks to you all!

Click here to see answer by Alan3354(69443) About Me 
Question 831607: If x is a real number, find the minimum value of
+3%5E%28x%5E2+-+4x%2B8%29
Please Help! Thanks to you all!

Click here to see answer by josmiceli(19441) About Me 

Question 831796: 3k to the 3rd power multiply by 2k to the 2nd power

Click here to see answer by Fombitz(32388) About Me 

Question 831899: A brother and a sister, Peter and Fiona, are always thinking about numbers.
On his birthday, Peter said "My age is a square number."
His older sister Fiona said, "That's right, but the sum of our ages and the differemce of our ages also give squared numbers.
Peter replied "In 3 years time, both our ages will be prime numbers."
Fiona said "3 years ago, our ages were also prime numbers."
What are the ages of Peter and Fiona now?

Click here to see answer by richwmiller(17219) About Me 

Question 832084: Rewrite the following without an exponent.
3^-4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 832305: 12^n+1 . 9^2n-1 / 36^n . 8^1-n
Click here to see answer by Fombitz(32388) About Me 

Question 832365: what is 9x to the twelfth power
Click here to see answer by Fombitz(32388) About Me 

Question 832877: If 2^x = 7, find the value of 2^3x+2. Explanation please!
Click here to see answer by Fombitz(32388) About Me 

Question 833228: x^6y^-2
write the expression with positive exponents only.

Click here to see answer by Fombitz(32388) About Me 

Question 834078: (x6/5)4
(x to the 6th power over 5) to the 4th power

Click here to see answer by Alan3354(69443) About Me 

Question 834085: (x^6/5)^4
Click here to see answer by Fombitz(32388) About Me 

Question 834948: Find the area of the region bounded by the x-axis , the lines y=x and x=2 and the curve y=e^(1-x).
Thanks!!

Click here to see answer by Fombitz(32388) About Me 

Question 834917: How to I solve 6x^9(6x^2)
Click here to see answer by Fombitz(32388) About Me 

Question 834999: how would I factor the problem;
Y2 + 3x + 3y + xy (Y is squared)

Click here to see answer by Fombitz(32388) About Me 

Question 835093: Usually, I'm pretty good at Algebra, but I just cannot handle exponents! It's just so confusing. I can't seem to answer this question: ((-3x^2y)/(5x^-2y^4))^2
If you could please explain how to do this, I would greatly appreciate it!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 834984: Solve 3^t+1 = 7^t-1 for t
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 835312: 3z to the 3rd power over 7 divined by 6z
Click here to see answer by Fombitz(32388) About Me 

Question 834805: Please explain how to solve these. I already understand that I could use the calculator just want to know the process.
1)(-2^-1)^-2
2)(2^-1 * 3^0 * 5^-1)^-1
Thanks

Click here to see answer by Fombitz(32388) About Me 

Question 835600: what equation is true about x^2=sqrt(x)
1.always true
2.never true
3. true when x is negative
4. true when x=0

Click here to see answer by stanbon(75887) About Me 

Question 835731: Find a value of the variable that shows that the two expressions are not equivalent. (a + 5)^2; a^2 + 5^2
Click here to see answer by richwmiller(17219) About Me 

Question 835781: X 1/2=2
Click here to see answer by Fombitz(32388) About Me 

Question 835868: Simplify: pm-3p^2m^3 over pm
Click here to see answer by Fombitz(32388) About Me 
Question 835868: Simplify: pm-3p^2m^3 over pm
Click here to see answer by LinnW(1048) About Me 

Question 835983: Add & Subtract Mixed Numbers
18(1/4)- 2(5/6)

Click here to see answer by Alan3354(69443) About Me 

Question 836117: (ato the power 4-b to the power 4)/(a-b)

Click here to see answer by mananth(16946) About Me 

Question 836111: Please help by showing me the working on this problem:
A brother and sister, peter and Fiona, are always thinking about numbers. On his birthday peter said "my age is a square number ". His older sister Fiona said "that's right, but the sum if our ages and the difference of our ages also give squared numbers". Peter replied, "in 3 years time, both our ages will be prime numbers". Fiona replied" three years ago both our ages were also prime numbers". What are the ages of peter and Fiona now?
Help, I'm stuck
Ros1

Click here to see answer by KMST(5328) About Me 
Question 836111: Please help by showing me the working on this problem:
A brother and sister, peter and Fiona, are always thinking about numbers. On his birthday peter said "my age is a square number ". His older sister Fiona said "that's right, but the sum if our ages and the difference of our ages also give squared numbers". Peter replied, "in 3 years time, both our ages will be prime numbers". Fiona replied" three years ago both our ages were also prime numbers". What are the ages of peter and Fiona now?
Help, I'm stuck
Ros1

Click here to see answer by LinnW(1048) About Me 

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