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

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 Algebra: Negative and Fractional exponents Solvers Lessons Answers archive Quiz In Depth

 Question 242347: Please help me solve this problem thank you. Use a factor tree or division ladder to express the number 40 as a product of prime factors(note use a lower case x for multiplication. You can also use exponential notation when possible. Click here to see answer by Edwin McCravy(8893)

 Question 239641: How would you solve: 3p to the eighth divided by 9p to the third in Algebra III. Thank you Click here to see answer by JimboP1977(308)

 Question 244799: 4(c^5 d^-3)^-2/6(c^-2 d^4)^5 ^ Means exponents. We came up with an answer of -2c-2/d^14 please show each step so we can fully understand what order of operations error we are making. Click here to see answer by scott8148(6628)

 Question 232128: for what positive values of x will x^-20 be greater than x^-18? Click here to see answer by solver91311(16872)

 Question 246354: Please solve this equation! (3)^-2 I have tried 1/3x3 = 1/9 but that is incorrect. Thanks Norman Click here to see answer by richwmiller(9135)
 Question 246354: Please solve this equation! (3)^-2 I have tried 1/3x3 = 1/9 but that is incorrect. Thanks Norman Click here to see answer by Alan3354(30993)

 Question 246820: I am hoping I am placing this is the correct category as I did not see one for rational expressions and equations. I know this seems fairly simple but for some reason I am extrremly confused ....i would really appreciate some help and explantion as to what i might be doing wrong..... 1) x^5-4x^3, x^3+4x^2+4x Instructions state to find LCM My answer: 2*2*x*x*x*x*x*x*x*x, 2*2*2*2*x*x*x*x*x*x =2*2*2*2*x*x*x*x*x*x*x*x answer: 16x^8 2)x^2/x-7 + 49/7-x answer: 49x^2 (I believe x-7 and 7-x cancel out. I am very confused though and when looking at the other examples in the book and doing the other exercises it does not look like my answers are correct. I am unsure as to where exactly I am going wrong or what I am simply not getting. Thank you so much for any guidance you can give me.....I truly appreciate it. Click here to see answer by stanbon(57282)
 Question 246820: I am hoping I am placing this is the correct category as I did not see one for rational expressions and equations. I know this seems fairly simple but for some reason I am extrremly confused ....i would really appreciate some help and explantion as to what i might be doing wrong..... 1) x^5-4x^3, x^3+4x^2+4x Instructions state to find LCM My answer: 2*2*x*x*x*x*x*x*x*x, 2*2*2*2*x*x*x*x*x*x =2*2*2*2*x*x*x*x*x*x*x*x answer: 16x^8 2)x^2/x-7 + 49/7-x answer: 49x^2 (I believe x-7 and 7-x cancel out. I am very confused though and when looking at the other examples in the book and doing the other exercises it does not look like my answers are correct. I am unsure as to where exactly I am going wrong or what I am simply not getting. Thank you so much for any guidance you can give me.....I truly appreciate it. Click here to see answer by solver91311(16872)

 Question 247343: I was given this problem and now I am at a lost. The width of a retangle is 5 meters lass than twice its length. If it's area is 88 square meters, find the dimensions of the rectangle. I know that A= L * W and the equation is W=2L-5 But I can't get any farther than that to answer the question. Thanks for your help. Click here to see answer by checkley77(12569)

 Question 247368: 12y^2+54y-30 I have to factor the polynomial, if it can't be factored we have to write that it's prime Click here to see answer by College Student(505)
 Question 247368: 12y^2+54y-30 I have to factor the polynomial, if it can't be factored we have to write that it's prime Click here to see answer by solver91311(16872)

 Question 247366: b^12-w^2 I have to factor the polynomial completely but if it cannont be factored than it's prime. I think it can be factors but I am not sure how to do it when the exponents are this large. Thanks for you help:) Click here to see answer by checkley77(12569)

 Question 247554: (3n^7-7n^4-14)-(-7n^7-18n^4+8) I really need help with this problem I am stuck I have never had a problem this big before. Click here to see answer by jim_thompson5910(28536)

 Question 248316: I need to know how to distribute the following: I know that it becomes but I don't remember what the exponent should be above the x in the parenthesis.. 1/3 maybe? I'm not sure. Click here to see answer by solver91311(16872)

 Question 248378: i need the derivative of i have is that right? Click here to see answer by Alan3354(30993)
 Question 248378: i need the derivative of i have is that right? Click here to see answer by solver91311(16872)

 Question 248495: i need the derivative of im not sure if that came out right with symbols, so i'm going to put it into mathematical terms as well... (2x squared - 10) divided by (x squared + 5) squared. i came up with a pretty crazy answer, and have no clue if it's right, it seems way too 'out there' to be correct... am i anywhere close? Click here to see answer by stanbon(57282)

 Question 248504: i need the derivative of i've done it on paper so many times but it doesn't seem to come out right. there must be some way for the derivative to either equal 0 or be undefined, and none have my answers have allowed for this. please help! then i also need the second derivative as well.. Click here to see answer by stanbon(57282)
 Question 248504: i need the derivative of i've done it on paper so many times but it doesn't seem to come out right. there must be some way for the derivative to either equal 0 or be undefined, and none have my answers have allowed for this. please help! then i also need the second derivative as well.. Click here to see answer by jsmallt9(3296)

 Question 248526: i need the derivative of i've done it on paper so many times but it doesn't seem to come out right. there must be some way for the derivative to either equal 0 or be undefined, and none have my answers have allowed for this. please help! then i also need the second derivative as well.. Click here to see answer by richwmiller(9135)

 Question 248838: I need to simplify this problem and express only with positive exponents. (a^-2/3 /b^3/4)(a^1/4 b^2/3) Click here to see answer by dabanfield(803)

 Question 249473: what is the algebraic expression to m to the 8th power multiplied by n to the negative 3rd power? Click here to see answer by stanbon(57282)
 Question 249473: what is the algebraic expression to m to the 8th power multiplied by n to the negative 3rd power? Click here to see answer by oberobic(2304)