Questions on Algebra: Negative and Fractional exponents answered by real tutors!

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Question 894043: Not sure if this would be hard to understand what I mean on this problem. Also not sure if this is the right section for it to be in.
(Fraction) 5/x^2 (over) (Fraction) x+5/x
Simplify.
This is a screenshot of the actual problem: http://gyazo.com/ea664be23d615d1477b050082155e615

If you cannot click on the link, copy and paste into search bar please.

Click here to see answer by josgarithmetic(39623) About Me 

Question 894424: Without using a calculator how do you solve 5^(123/1000)?
I know this problem can be evaluated as the 1000th root of 5 raised to the 123rd power, so I figured one could solve it using natural logarithms. [I have already found the two formulas for solving an unknown logarithm by hand.] However, when I search for ways to convert (a number (x) raised to a fractional exponent) to a natural log, I can't find any formula that doesn't involve the Euler number (e). All the formulas that have (e) in them also have a fractional exponent to deal with; therefore I'm right back where I started.
So to reiterate, by hand and with NO calculator, how do I convert 5 to the power of (123/1000)to another form that I can solve by using natural logarithms or some other formula or equation?
Thanks.

Click here to see answer by josgarithmetic(39623) About Me 

Question 894522: How to work out aproblem young conversion factor like a bedroom is 5.2 meters wide.find it's width in feet 1 meter is approxemetly 3.28ft
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Question 895610: How do you solve 2/3x-6=12? I have tried turning all of it into fractions. but I am not sure on how to do that. Please help me.
Charlotte

Click here to see answer by rfer(16322) About Me 
Question 895610: How do you solve 2/3x-6=12? I have tried turning all of it into fractions. but I am not sure on how to do that. Please help me.
Charlotte

Click here to see answer by DrBeeee(684) About Me 
Question 895610: How do you solve 2/3x-6=12? I have tried turning all of it into fractions. but I am not sure on how to do that. Please help me.
Charlotte

Click here to see answer by MathTherapy(10555) About Me 

Question 895911: how do you do the following: x6y14 / x4y9
Click here to see answer by Fombitz(32388) About Me 

Question 895994: what is x-1y?
Click here to see answer by Alan3354(69443) About Me 

Question 896237: Write an expression using a positive exponent (-3)^-5
Click here to see answer by josmiceli(19441) About Me 

Question 896451: -5
8 Have to express using a positive exponet

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Question 896506: 216 to the positive 2 thirds power
216^2/3

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Question 897278: Need help with this problem:
(x+3)^3/2 = -64

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Question 897210: how to solve 10^4 + 5*10^-3
Click here to see answer by Fombitz(32388) About Me 

Question 898165: I asked a similar question using variables, but I also don’t know how to divide with negative exponents with a number. Example:
6^-4 / 6^8
(Six raised to the -4 over 6 raised to the 8)
Thanks!!

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

Question 898168: I just want to make sure this is correct. my problem said simplify
s^-5 x s^7
my answer is s^2

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Question 898164: I don’t understand how to divide with negative exponents. Example:
m^8 / m^-4
my problem is a fraction (m raised to the 8 over m raised to the negative 4)
my work says to simplify

Click here to see answer by Theo(13342) About Me 

Question 899351: Evaluate the expression and simplify. Express answer as a fraction in lowest terms.
-5 squared - 2 squared over (-1) squared - 4 (-1) -5

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

Question 900396: How do I solve this equation?
(2x-1)^(-2/5)=1

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Question 900537: Please help me solve this equation, (36r^6)^1/2

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

Question 900987: 4 divided by (x squared - 9) + 5 divided by (x-3) = ?
We have to simplify algebraic fractions like this, I tried to simplify it myself and I got an answer of 9 but I have a feeling I am going wrong somewhere as I did:
4(x-3) divided by (x+3)(x-3) + 5(x+3)(x-3) divided by (x-3) in which I cancelled out the brackets which were the same and I ended up with 4+5(x+3) divided by (x+3) and then I cancelled out the (x+3) and ended up with 4+5 which is 9
Am I right? Or am I doing something wrong?
Thanks :)

Click here to see answer by ewatrrr(24785) About Me 

Question 901106: Do you know the final answer for 6x[2+(10-5)]? And can you plz send me how you did it please, thanks Taylor :}
Click here to see answer by JulietG(1812) About Me 

Question 902049: 4 (5n-7)=10n+2. need help to learn how to solve these kind of problems
Click here to see answer by Fombitz(32388) About Me 

Question 902019: Solve the following equation.
|5 x - 8 | = |8 x +7|

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Question 902582: 1/32^3/5

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Question 902521: open bracket x to the half power close bracket multiplied by the power seven times square root sign x to the ninetieth power
(x 1/2 halved power )7th power x square root sign x9th power

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Question 903549: How do you solve z-8z=5z-9-z
Click here to see answer by josgarithmetic(39623) About Me 

Question 906761: how do you solve x squared - 18x = negative 77

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Question 908821: What is-19/2 divided by 38/7
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Question 909089: Simplify 27^3/4
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Question 910130: Simplify each expression. Write your answer using a positive exponent.
5.2-3(this is an exponent) ÷2.6-3(this is an exponent)
Thanks,
Luis

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

Question 911811: how is four time of seven is equal to 100
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Question 912020: My problem reads: "Write a division problem that has a dividend of a/3 and a quotient of 5a^2 /6b." I don't know how to find the divisor.
Click here to see answer by josgarithmetic(39623) About Me 

Question 913946: What is (1/r^4)^-6 ???
Click here to see answer by jim_thompson5910(35256) About Me 

Question 914139: ZkLxV9 http://www.QS3PE5ZGdxC9IoVKTAPT2DBYpPkMKqfz.com
Click here to see answer by Fombitz(32388) About Me 

Question 915458: how do you solve 5s = -2/3 and how do you solve 3/7q = -6
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Question 915638: how do you figure out 3c divided (2b to the 2nd power)
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Question 916532: WHAT IS 0-(-5)
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Question 917227: A cylindrical container with radius 10 cm is filled with water to a height of 2 cm. The water is poured into a second cylindrical container with radius 4 cm. How high will the water be in the second container?
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Question 917504: how do you solve a negative over a positive?
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Question 917785: (x ^ -3) ^3
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Question 919517: express in simplest form : x-y/y/1/y-1/x
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Question 919824: How would I solve (2a^-3)^3?
Thanks!

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Question 919870: {2x^3y^-3/x^-4y^3}^-2
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Question 920358: The question is -5w/9w-27+ 10-2w/3w^2-27
Adding fraction!!
Thank You in advance!!!

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

Question 920862: simplify, answer must have a positive exponent
125p^-5(5p^4)^-2 divided by p^-4

Click here to see answer by MathLover1(20850) About Me