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

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Question 415397: My teacher says you shouldn't have a negative exponent. What do I do to figure out a problem like this:(2b^4)^-1????
Click here to see answer by sudhanshu_kmr(1152) About Me 
Question 415397: My teacher says you shouldn't have a negative exponent. What do I do to figure out a problem like this:(2b^4)^-1????
Click here to see answer by Edwin McCravy(20060) About Me 

Question 415970: Multiply.
%285x%2B7%29%28x%5E3-x%2B7%29

I got to different answes for it.
1 was 5x%5E2%2B7x%5E3-5x%5E2%2B28x%2B49
the other was..... 5x%5E4%2B7x%5E3-5x%5E2%2B28x%2B49 which one is it?

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

Question 416273: multiply
7x(4x+3)

I got 28x%5E2%2B21x is this correct.

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

Question 416414: What is 9 over x to the negative 4th power equal
Click here to see answer by MathLover1(20850) About Me 

Question 416748: Need to solve by factoring:
t^(5/3)-25t^(-1/3)=0
Book shows we take out t^(-1/3) and end up with t^(-1/3)[t^2-25]=0
Why do we take out the t^(-1/3)?
Thanks!!

Click here to see answer by lwsshak3(11628) About Me 

Question 416960: (3 times 22) divided by 6 +[28-(4)^2]=
Click here to see answer by Alan3354(69443) About Me 

Question 417003: How do I solve the following problem?
(-5)-3exponent

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

Question 416943: -5 1/2 + (-2 1/2)=
Click here to see answer by checkley79(3341) About Me 

Question 417400: How do I factor 12x^2 - 12X^3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 418698: Factor the trinomial
v%5E2%2B12v%2B27

Click here to see answer by rfer(16322) About Me 

Question 419964: the mass of a grain of salt is about 10 to the power of negative 4. about how many grains of salt in a box containing 100 grams of salt?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 419288: Please, help me solve this equation step by step so I can understand it. I have tried to simplify the 1/2 exponent on the left side to get rid of it, but it made the right side more complicated... I am confused on how to approach this equation. thanks!
(x-2)^1/2=11*(x-2)^1/4-18

Click here to see answer by jsmallt9(3758) About Me 

Question 421390: (x^-1 +y^-1)/( x^-1*y^-1)
Click here to see answer by robertb(5830) About Me 

Question 421895: I can't quite understand where I am going wrong.
-32a^-15b^10/-52a^13b^-14
I had answered it as 8b^4/13a^2
Wouldn't you change the places of the original exponents to make them positive and then subtract since you are dividing? The correct answer is 8b^24/13a^28. I cannot seem to grasp this idea of the negative exponents. I know you have to change the places to make them psoitive and that is what I had done. But it was marked wrong. This is the topic that is holding me back.
Thank You

Click here to see answer by ewatrrr(24785) About Me 
Question 421895: I can't quite understand where I am going wrong.
-32a^-15b^10/-52a^13b^-14
I had answered it as 8b^4/13a^2
Wouldn't you change the places of the original exponents to make them positive and then subtract since you are dividing? The correct answer is 8b^24/13a^28. I cannot seem to grasp this idea of the negative exponents. I know you have to change the places to make them psoitive and that is what I had done. But it was marked wrong. This is the topic that is holding me back.
Thank You

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

Question 422087: Please help me solve this equation, -8x +1 = 81 + 2x. Thank you.
Click here to see answer by ewatrrr(24785) About Me 

Question 422520: ok i think i have the right answer but i'm not sure. i cancelled out the 4's and flip the reminding fraction so i can multipy it.. the answer is 2?

1
--- +4
c-1
__________
2
--- -4
c-1

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

Question 423398: How do you solve for APR in this equation?
1.0593 = (1 + APR/3.3182)) ^3.3182

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

Question 423709: need help solving this
(1/3x-11)1/2=5

Click here to see answer by shree840(260) About Me 

Question 424382: simplify a^2+2ab+b^2/a+b

Click here to see answer by richard1234(7193) About Me 

Question 424775: How do you solve equation 2x^1/2 -3=0? (the one half is the exponent)
Click here to see answer by stanbon(75887) About Me 

Question 425701: 4x^-5
this needs to be solved to a positive exponet. I know it ends up as a fraction-could someone please explain the steps to getting to the answer. Thank you

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

Question 427202: I need to graph these two linear equations x+y=9 and x-y=3
Click here to see answer by josmiceli(19441) About Me 

Question 427903: what is 16º simplified?
Click here to see answer by Alan3354(69443) About Me 

Question 427789: I am working on exponents and have a couple of questions.
1) Solve -r^-2 if r=-3
I know the answer is -1/9 but I don't understand why it is a negative. I thought the negative symbol in the problem and the negative symbol on the 3 would cancel each other out and make it a positive.
2) What is the difference between the following three probs. I am just not understanding what to do about the - sign and when to do it!
-5^-3
(-5)^-3
-(5)^3
I was not sure how to show the exponents and someone told me to use the ^ symbol so I did. Hope it makes sense. I am stuck!!
Thank you.

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

Question 428134: Evaluate the following
4(-12y)0 power
4/3z 0power

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

Question 430116: Rewrite & simplify the given expression using positive exponents only.
(square root x^-5 + x^-5y^7z^-2)(x^9y^-2z^9)
Only x^-5 is a square root

Click here to see answer by haileytucki(390) About Me 

Question 430120: Expand & simplify. 5(3x-1) + 4(x^2 - 3x + 3)(x + 6)
Click here to see answer by haileytucki(390) About Me 
Question 430120: Expand & simplify. 5(3x-1) + 4(x^2 - 3x + 3)(x + 6)
Click here to see answer by algebrahouse.com(1659) About Me 

Question 367784: write as a fraction and simplify z-4

Click here to see answer by nkalgebra(1) About Me 

Question 430343: Multiply ((x^(2)z^(2)~(x)+y^(7)))/(x^(5)z^(2)) by (x^(9)z^(9))/(y^(2)) to get (x^(4)z^(7)(x^(2)z^(2)~(x)+y^(7)))/(y^(2)).
((x^(4)z^(7)(x^(2)z^(2)~(x)+y^(7)))/(y^(2)))
Remove the parentheses around the expression (x^(4)z^(7)(x^(2)z^(2)~(x)+y^(7)))/(y^(2)).
(x^(4)z^(7)(x^(2)z^(2)~(x)+y^(7)))/(y^(2))
- I don't how this part works: Multiply ((x^(2)z^(2)~(x)+y^(7)))/(x^(5)z^(2)) by (x^(9)z^(9))/(y^(2)) to get (x^(4)z^(7)(x^(2)z^(2)~(x)+y^(7)))/(y^(2)).
How do you get x^4z^7? Wouldn't you get x^11z^11????? HELP!

Click here to see answer by richard1234(7193) About Me 

Question 430356: Can someone confirm if I am doing this problem right? I have to provide the answer in fraction in lowest terms.
Question: 2/(x-1) - 4/(x-1)

My solution = 2(x-1)/(x-1)(x+1)- 4(x+1)/(x-1)(x+1)
= -2x-6/(x+1)(x-1)
Thanks

Click here to see answer by stanbon(75887) About Me 
Question 430356: Can someone confirm if I am doing this problem right? I have to provide the answer in fraction in lowest terms.
Question: 2/(x-1) - 4/(x-1)

My solution = 2(x-1)/(x-1)(x+1)- 4(x+1)/(x-1)(x+1)
= -2x-6/(x+1)(x-1)
Thanks

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

Question 430362: 2/(x+1) - 4/(x-1)
Express as a fraction in lowest terms.
Thanks

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

Question 430413: Simplify 11m^-5
Click here to see answer by algebrahouse.com(1659) About Me 

Question 430664: evaluate 243^(-2/5) without a calculator
Click here to see answer by jsmallt9(3758) About Me 
Question 430664: evaluate 243^(-2/5) without a calculator
Click here to see answer by Gersid(33) About Me 

Question 433674: I am pretty sure I have this under control but I would like to verify my answers.
(m^-3n^4)^-4
I got m^12/n^16 If this is not correct, please show me how.
(4x^4)3(2xy^3)2
I got 256x^16y^3 yes?
one more
This is to be done in scientific notation.
10^-9x(2x10^2)^2 x is being used to mean "times"
I got 4x10^-5 somewhat more sketchy on this one!!
Thanks so much

Click here to see answer by rwm(914) About Me 

Question 434013: evaluate the following expresion 6^-3 as a fraction
Click here to see answer by stanbon(75887) About Me 

Question 434020: evaluate the following expression (-6)^-2
Click here to see answer by robertb(5830) About Me 
Question 434020: evaluate the following expression (-6)^-2
Click here to see answer by Alan3354(69443) About Me 

Question 434214: I dont know the name of this kind of stuff im actually doing but here is my question.

what is the answer to x/8 + 3x/8

Click here to see answer by richard1234(7193) About Me 

Question 434807: Rationalize the denominator and simplify
x^2-1/1-sqrt(x), where x is greater than 0

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

Question 436956: (25/9) -2/3
Click here to see answer by stanbon(75887) About Me