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

Tutors Answer Your Questions about Exponents-negative-and-fractional (FREE)

Question 341826: This problem involves factoring terms that include positive and negative exponents. For some reason I just can't see it:
(3x+2)(2/3)(6x-5)^(-1/3)(6)+(6x-5)^(2/3)(3)
I keep coming up with:
I factored out (6x-5)^(-1/3)(2/3)(3)[(3x+2)+2(6x-5)^(3/3) <- (or 1)
So that simplifies to: (6x-5)^(-1/3)(2)(3x+2)+12x-10
Further simplified to: (6x-5)^(-1/3)[6x+4+12x-10]
The (6x-5)^(-1/3) moves to the denominator and 18x-6 remains in the numerator.
I don't know where I am going wrong with this. I know the denominator is right, but the answer shown for the numerator is 30x-7 and I just can't figure out how to get to that.
Click here to see answer by stanbon(75887)

Question 341837: how do I solve 7(-3 exponent)
Click here to see answer by josmiceli(19441)

Question 342468: (L2−Q3)2
Click here to see answer by checkley77(12844)

Question 343179: please help me figure out this equation -2[-2 -3(-2-2)][-2(-4)-3]
Click here to see answer by solver91311(24713)

Question 343234: what is 3 to the power of 4 times 3 to the negative power of 7 finding the product only using positive exponents

Click here to see answer by Alan3354(69443)

Question 343234: what is 3 to the power of 4 times 3 to the negative power of 7 finding the product only using positive exponents

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

Question 343798: i need help on a problem. here it is: 4/5 + -1/3. can you help me answer it?
Click here to see answer by rfer(16322)

Question 343745: How would you simplify expressions with negative exponents?
Click here to see answer by Fombitz(32388)

Question 344309: How would you solve x to the negative third power times x to the negative fourth power?
Click here to see answer by Fombitz(32388)

Question 344220: (x + y^-1)^-1
Click here to see answer by Fombitz(32388)

Question 344638: simplify expression
(9x-1)^1/2 - (x+8)(9x-1)^-1/2
I tried putting negative on bottom to cancel out with other term, but answer is still wrong. What do I have to do?
Click here to see answer by stanbon(75887)

Question 344642: x+1/x(10-x)^1/2
I have to write the negative expression so that is not a fraction. I moved denominator to numerator and add negative exponents, but it did not work. What am I doing wrong?
Click here to see answer by stanbon(75887)

Question 344750: hi i really need help with negative exponents.
i already did this problem but the answer is not in my book. i want to know the steps to the problem to make sure i understand how to do it correctly.
thank you very much

(x^-1 y^2 )^-3 / (x^3 y^4)-3
Click here to see answer by ankor@dixie-net.com(22740)

Question 344833: Hi, could you please help me with this problem:

I'm not positive if this is the correct way to type the problem but for clarification, the 3 is being multiplied by the square root of 50x, it is not an index
Thanks
Click here to see answer by user_dude2008(1862)

Question 345486: Hello!
Would love it if someone could be so nice as to help me with this one..
3x-(x-3)/4=1/2+(2x-5)/6
with thanks,
Blob :)
Click here to see answer by stanbon(75887)

Question 345894: conor is diving at a depth of 52.8 sea level thirty minutes later he is at a depth of 40 feet below sea level what is his change in depth? did he go up or down
Click here to see answer by rfer(16322)

Question 346046: do not use negative exponents:
(y^3)^-5
I got: 1/y^15
Click here to see answer by Theo(13342)

Question 346050: factor: 81-64v^2
Click here to see answer by Fombitz(32388)

Question 346061: -4/x-1 + 3-x/x
Add and simplify - please help!
Click here to see answer by stanbon(75887)

Question 346277: how do i evaluate the expression 5x3 to the negative 3rd power?
Click here to see answer by jsmallt9(3758)

Question 347213: (3/4x^-2y^-3)^-3
simplify
Click here to see answer by Fombitz(32388)

Question 348001: Can someone help me solve this problem for an SAT practice test;
3(81/16)^-3/4
I have the answer but don't know how they got it.
The answer is 8/9.
Thanks
Click here to see answer by jim_thompson5910(35256)

Question 348580: Simplify (sqrt. 3)^-4 * (sqrt. 9)^-5
Click here to see answer by stanbon(75887)

Question 348987: what is a to the third power over b divided by a over b to the second power?
Click here to see answer by stanbon(75887)

Question 349306: 64 1/2 =
64 2/3 =
45 1/3 =
(square root 57)3

Click here to see answer by jsmallt9(3758)

Question 349997: 4 to negatice 3 power
Click here to see answer by Fombitz(32388)

Question 349958:
Click here to see answer by Fombitz(32388)

Question 350406: five eighths divided by 2 and one half
Click here to see answer by rfer(16322)

Question 351123: Please help me solve this:
(T^-1 + 2T^-2)^-1/2
Click here to see answer by Fombitz(32388)

Question 351426: WHAT IS 12 TO THE 4TH POWER DIVIDED BY 12 TO THE 6TH POWER
Click here to see answer by nerdybill(7384)

Question 352103: Hello!
My problem is finding all real solutions with the following equation
I put 6 on the other side so it turns into

I can't combine the two terms so I ended up subtracting -5x^(2/3) from both sides to get:

Then I will take the power 3/4th to both sides so X on the left is by itself.

Which will simplify to:

This is where I get stuck.
I have a feeling I screwed up somewhere.
Can you please help me?
Thank you.
-Kayte.
Click here to see answer by Fombitz(32388)

Question 352106: I have to find all real solutions for the following equation:
I converted the into
So the equation turned into:

Then I distributed x^2 on one side and ^3/2 on the other. So I get:

The x and 3x can simplify to 4x. and I move this over into the other side.

I feel like I can somehow turn this into a quadratic formula, but unsure how.
So here is where I'm stuck.
Thank you!
-Kayte
Click here to see answer by stanbon(75887)

Question 352365: Please help me solve this equation: 4x squared to the negative second power. (4x^2)^-2.

I came up with 1/16x to the negative fourth power then simplified to 1/16x to the fourth power. Is this correct?
Click here to see answer by Edwin McCravy(20060)

Question 353252: what is -18 / (-6)=
Click here to see answer by Fombitz(32388)

Question 353512: 3_+(-4_)+(-2_)
8 7 3
Click here to see answer by edjones(8007)

Question 353521: The bread that lynn is baking requires 4 1/2 cups of flour. she has 1 3/4 cups of flour in a canister aand 1/8 cup of flour in a measuring cup. How much more flour does she need to have enough flour to bake the bread?
Click here to see answer by mananth(16946)

Question 353597: (4/3)^-2
Click here to see answer by Fombitz(32388)

Question 354693: Rational exponents
x^2/3-2x^1/3-8=0
Solve the equation
Click here to see answer by stanbon(75887)

Question 354693: Rational exponents
x^2/3-2x^1/3-8=0
Solve the equation
Click here to see answer by vleith(2983)

Question 355043: I need to figure out how to simplify this. Can you please help me as I am stuck with how the fractions work?
(a^-2/3 * b^1/2)(a^3/2 * b^(2/3)
Click here to see answer by robertb(5830)

Question 355081: Find all solution of (x^2+9)^3/2=125 I appreciate.
Click here to see answer by jsmallt9(3758)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330