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

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Question 123923: Please can you help me with this equation?
x^2/3 - 8x^1/3+15=0

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Question 124098: write without negative exponents (3x-^4y^2)-^3
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Question 124562: 3. z^-5/3 = 243
4. 2a^-1/4 = 12
please explain how you got the answer with work, thank you so much

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Question 124505: simplify and write your answer with a positive exponent.
x to the -8 power OVER x to the -12 power

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Question 124686: 6. 2b^1/3 + 5 = 15

8. -4s^-3/5 - 1 =31

PLEase show work thank you

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Question 124861: (3/8)^-1 * (2a^3x^5)^2/(8a^-3x^-1)^-3
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Question 125132: Hello If anyone can please try and solve this equation I don't even know where to start! Help! :( okay i realize that the LAST PART of this equation AFTER THE 1 written and shown to you incorrectly: 3%2F4=1-3x-2%2Fx%2B1 it is supposed to be (3 over 4 ) 3/4 =1 (minus) - 3x-2 (over) / x+1. I don't know how to write this equation correctly as text. I apologize. Thank you and have blessed day!!
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 125429: Factor if possible
3(x-2y)^2 + 6(x-2y) - 45
**The answer has to be one of these choices
3(x+2y+5)(x-2y-3) , 3(x-2y-5)(x-2y+3), 3(x+2y-5)(x-2y+3) , 3(x-2y+5)(x-2y-3)

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Question 125481: x%5E3%2Ax%5E-5
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Question 126340: I am stuck on this problem after I have tried to work it out several different ways, but am unable to get the same answer as the textbook. Your assistance would be greatly appreciated. Thank you.
The problem is as follows:
2+X/X^2+X-3/3X.
This is how I have gone about this.
2+X/X^2+X-3/3X
which gives me
6X+3X^2/3X^3+X^3-3X^2/3X^3
which gives me
6X+3X^2+X^3-3X^2/3X^3
which gives me
X^3+3X^2-3X^2+6X/3X^3
which gives me
X^3+6X/3X^3
And I simply cannot see how the textbook has come up with the answer of
X^2+6/3X^2
Please would you be able to show me with an explanation as to why each step is done. Thank you so very much.
Cheers D.

Click here to see answer by solver91311(24713) About Me 
Question 126340: I am stuck on this problem after I have tried to work it out several different ways, but am unable to get the same answer as the textbook. Your assistance would be greatly appreciated. Thank you.
The problem is as follows:
2+X/X^2+X-3/3X.
This is how I have gone about this.
2+X/X^2+X-3/3X
which gives me
6X+3X^2/3X^3+X^3-3X^2/3X^3
which gives me
6X+3X^2+X^3-3X^2/3X^3
which gives me
X^3+3X^2-3X^2+6X/3X^3
which gives me
X^3+6X/3X^3
And I simply cannot see how the textbook has come up with the answer of
X^2+6/3X^2
Please would you be able to show me with an explanation as to why each step is done. Thank you so very much.
Cheers D.

Click here to see answer by ilana(307) About Me 

Question 126477: Help with this problem!
-(x^4y^3)^2(xy^2)^3
Thank you.

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Question 126575: Hi! I am supposed to write the equation 1%2F2x%5E-5 with positive exponents. I am struggling. I thought the solution was 2x^5, but when I tested it, the equations did not match. Please help me. Much appreciated, Megan Behnke
Click here to see answer by stanbon(75887) About Me 
Question 126575: Hi! I am supposed to write the equation 1%2F2x%5E-5 with positive exponents. I am struggling. I thought the solution was 2x^5, but when I tested it, the equations did not match. Please help me. Much appreciated, Megan Behnke
Click here to see answer by solver91311(24713) About Me 

Question 127063: Please help me solve this equation with only positive exponents: +4%5E0%2A5%5E3%5B+2%5E-3+%5D+. My Algebra 1 teacher isn't using the textbook so I don't know what to do. When I work the problem to get positive exponents, I get 4^0*5^3*2^3, and I get lost afterwards.
Click here to see answer by stanbon(75887) About Me 

Question 127386: Solve by addition or subtraction. If a unique solution does not exist, state whether the system is dependent or inconsistent.
2x + 3y = 1
5x + 3y =16

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Question 127889: A company distributes its product by train and by truck. The cost of distributing by train can be modeled as -0.07x^2+34x-135, and the cost of distributing by trucks can be modeled as -0.02x^2+24x-180, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by trucks.

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Question 128168:
I'm just not sure about these two. Please help!
(5r5)^-3 2ab divided by 4ab^7

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Question 129121: 10a2b5c-5 (a to the 2nd power b to the 5th power and c to the -5th power)
__________ (over or divided by)
2a2b-4c4 (a to the 2nd power b to the -4th power and c to the 4th power)

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Question 125137: EVALUATE (1/64)4/3
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Question 125428: x^2 - ( 3x+4) = (x +8)(x-5) SOLVE
**** the 1st x is sq.

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Question 123026: How do you simplify the following fraction?
2x + 8
_______
x + 4

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Question 129611: These are confusing???
120xy/10x^2y^7
2x(14x+12)/2^2
(8k^-7)^4
22a^7b^7/11a^3b^-7

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Question 129643: Okay, I'm trying to help my 13-year-old with Algebra. Some of it I remember, but I can't recall what to do with fractional exponents. The problem is:
(81)^-3/4. I have tried everything that I can think of, but to no avail. I don't know what to do with the negative sign when dealing with a negative fractional exponent. I know what to do with it when it's just a negative exponent, but the negative fractional exponent is throwing me.
Thanks,
Downs in Georgia

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Question 129679: evaluating indices (216/27) to the power of -2/3
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Question 129600: if A represents the number of the apples purchased at 15 cents each and B represents the number of bananas purchased at 10 cents, then what is the total value
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Question 129750: (1/32)^-3/5
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Question 129747: (1/32)^-3/5
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Question 129749: (1/32)^-3/5
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Question 129934: 9usquared-9u+2
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Question 129507: I have tried everything on this problem that I know to do. It involves a fraction and positive and negative exponents. Assume all variables represent positive real numbers. Write your answers with positive exponents.
(x^2 y^-3 z) ^1/2
_________________
x^1/2 y z^-1/2
first I multiiplied everything on the top by the exponent outside the ()
x^2/1*1/2, y^-3*1/2, z^1/2 = x y^-3/2 z^1/2
__________________________ _______________
x^1/2 y z^-1/2 x^1/2 y z^-1/2 This is where I get stuck

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Question 129931: 9usquared-9u+2
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Question 130094: Hey! __
It says to express 0.01 as a fraction.


Please help! Thank You=)

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Question 130104: if x^(1/3) = 8 then what is x?
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Question 130104: if x^(1/3) = 8 then what is x?
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Question 130430: What is x X x6?
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Question 130704: Write each expression so that it contains only positive exponents.

8/4^-2
I understand that the 4^-2 needs to go to the top with the 8 but im not sure whether I need to add the 8 and the 16 (4^2) together or not.
Please help. Thank you.

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Question 131243: reduce to lowest terms mn-rs over amn-ars
Click here to see answer by jim_thompson5910(35256) About Me 

Question 131558: (a^negative 1 - b^ negative 1)^ negative 1
I keep doing this, and getting a-b.
I have the answer (its in the back of the book) ab/b-a , but I don't know how they got it.

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Question 131558: (a^negative 1 - b^ negative 1)^ negative 1
I keep doing this, and getting a-b.
I have the answer (its in the back of the book) ab/b-a , but I don't know how they got it.

Click here to see answer by solver91311(24713) About Me 

Question 131618: Solve for x.
2^x2^=2^
The first ^ is 3.
The second ^ is 4.
The third ^ is x.

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Question 131610: Rewrite 3.94x10^ in decimal form
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Question 131823: 1/y^9 X y^15
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Question 131823: 1/y^9 X y^15
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Question 129437: Hi can you explain the formula for :
7 - X = 8
Thanks

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