# 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 247433: I am currently working on the question (8x)^(-1/2) = 1/4. The answer that I keep getting is that it is 4/3. This is an example of what I have been doing. 2^(3x(-1/2)) = 4^(-1) 2^(-3x/2) = 2^(-2). -3x/2 = -4 x = 4/3 Could you please let me know where I am going wrong? The answer says that it is 2, but I'd really like to know how I'm going wrong. Thank you for your time, Robyn Click here to see answer by Alan3354(30993)

 Question 261737: Could you help me solve this problem? -(3x) to the second power Click here to see answer by Theo(3458)

 Question 262392: I need help with this problem: Write with positive exponents (3^-2 a^-2 b^5)over (c^-3 d^-4). Thanks Click here to see answer by drk(1908)
 Question 262392: I need help with this problem: Write with positive exponents (3^-2 a^-2 b^5)over (c^-3 d^-4). Thanks Click here to see answer by jim_thompson5910(28536)
 Question 262392: I need help with this problem: Write with positive exponents (3^-2 a^-2 b^5)over (c^-3 d^-4). Thanks Click here to see answer by richwmiller(9135)
 Question 262392: I need help with this problem: Write with positive exponents (3^-2 a^-2 b^5)over (c^-3 d^-4). Thanks Click here to see answer by Theo(3458)

 Question 263051: Hi! I see a problem worked liked this: 8^2/3 = 8^1/3 * 8^1/3 = (8^1/3)^2 = 2^2 = 4 What is the reasoning behind each step? Thanks! Click here to see answer by richwmiller(9135)

 Question 263081: Hi! I see a problem worked liked this: 8^2/3 = 8^1/3 * 8^1/3 = (8^1/3)^2 = 2^2 = 4 I don't understand how to they get from 8^2/3 to 8^1/3 * 8^1/3, from 8^1/3 * 8^1/3 to (8^1/3)^2, and from (8^1/3)^2 to 2^2. I put it this way because I don't understand how the process works of each step. Click here to see answer by jim_thompson5910(28536)

 Question 263082: Z^m/n = z^m*1/n = (z^1/n)^m = (n/square root of z)^m. What is the reasoning behind each step? I'm really not understanding how they get from one step to the next. Click here to see answer by jim_thompson5910(28536)

 Question 263687: How do I simplify using positive exponents? 8/m^-2 Click here to see answer by richwmiller(9135)

 Question 263692: How do I Simplify this problem using positive exponents? Click here to see answer by Alan3354(30993)

 Question 264450: What is the equation using factoring techniques. (x+5)^2-16=0 Click here to see answer by Alan3354(30993)

 Question 264580: A square piece of cardboard is 16 inches on a side. A square piece x inches on a side is cut out from each corner. The flaps are then turned up to form an open boz. Find polynomials that represent the volume and outside surface of the box. Click here to see answer by JBarnum(2044)

 Question 211254: I am so confused by this. Evaluate the exponential equation for three positive values of x, three negative values of x and x=0. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph, if any. y= -3^x I think I would start with have y=f(x)=-3^ f(0)=-3^0=1 f(1)=-3^1=-3=1/3 f(2)=-3^2=9 f(3)=-3^3=-27=1/27 Before I go any further, am I on the right track? Click here to see answer by lovetogamble69(1)

 Question 267888: what is x to the negative 4th power divided by x to the negative 6th? Click here to see answer by palanisamy(496)

 Question 270381: how do you work out 6 1/4 - 2 1/2 Click here to see answer by Alan3354(30993)
 Question 270381: how do you work out 6 1/4 - 2 1/2 Click here to see answer by JBarnum(2044)

 Question 270585: 23-2[4+3(x-1)]+5[x-2(x+3)]=7 {x-2[5-(2x+3)] } this all looks like jumble to me, my I please get this problem broken down step by step; PLEASE Click here to see answer by stanbon(57282)
 Question 270585: 23-2[4+3(x-1)]+5[x-2(x+3)]=7 {x-2[5-(2x+3)] } this all looks like jumble to me, my I please get this problem broken down step by step; PLEASE Click here to see answer by josmiceli(9664)

 Question 270780: how do i do this: x/3-2x/5+3x/6=10 (fraction busters) Click here to see answer by stanbon(57282)

 Question 270846: Use exponents to write an expression for one billion? Click here to see answer by solver91311(16872)
 Question 270846: Use exponents to write an expression for one billion? Click here to see answer by josmiceli(9664)
 Question 270846: Use exponents to write an expression for one billion? Click here to see answer by JBarnum(2044)

 Question 271383: x to the 13 power y to the 2 power ____________________________________ x to the 13 power y Click here to see answer by checkley77(12569)

 Question 271880: Write an equivalent expression without using the grouping symbols: -(3x + 5) Click here to see answer by LarissaRichardson(34)