Questions on Algebra: Exponents and operations on exponents answered by real tutors!

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Question 285781: Solve for x: (x + 1)^3/2 = 8
A. 3 B. 5 C. 21.63 D. 25 E. None of these.

Click here to see answer by nabla(475) About Me 

Question 285788: If 3^2y+2 = 729, what is the value of y^y^3 ?
A.5^125 B. 6^216 C. 64 D. 256 E. None of these.

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

Question 286067: (3+x)(x-4)
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Question 286078: Please help me find the answer to this problem. I have tried but somehow don't get the answer.
Express 16-2/3% as a fraction in simplest form.
I know you make it into an improper fraction but then what. Thank you in advance for the help.

Click here to see answer by richwmiller(17219) About Me 

Question 286081: A team won 57 games and lost 18. What percent did the team win?
I know it is 57/75 which divided out is .76 so 76% but I don't know how to show it in proper equation form for Algebra. I need to show my work.
Thank you for the help.

Click here to see answer by richwmiller(17219) About Me 

Question 286155: Help....
(-4m^2n^4)^3 (-3m^3n^2)^2 / (-6m^2n^3)^6

Click here to see answer by jim_thompson5910(35256) About Me 

Question 286055: how would you simplify 320,000square + 7,200,000,000 square?
Click here to see answer by checkley77(12844) About Me 
Question 286055: how would you simplify 320,000square + 7,200,000,000 square?
Click here to see answer by Alan3354(69443) About Me 

Question 286256: I really don't even know where to begin with this problem.
Let 2^a = 5 and 2^b = 7. Using exponent rules, solve the equation in terms of a and b.
0.4^x=343

Click here to see answer by Alan3354(69443) About Me 
Question 286256: I really don't even know where to begin with this problem.
Let 2^a = 5 and 2^b = 7. Using exponent rules, solve the equation in terms of a and b.
0.4^x=343

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

Question 286479: Divide.
(x^3 - 1)/(x - 1)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 286493: Find the quotient using long division:
(6x^2 -9x +4)/(x-2)

Click here to see answer by texttutoring(324) About Me 

Question 286361: If 2^2n−1 = 32, what is the value of n^n−1 ?
A. 9 B. 2 C. 64 D. 1 E. None of these.

Click here to see answer by Fombitz(32388) About Me 

Question 287250: simplify a%5E%28-3%29+b%5E2
Click here to see answer by KathyWat3377(2) About Me 

Question 287256: x*x^(6)
Click here to see answer by stanbon(75887) About Me 

Question 287255: y^(6)*y^(3)
Click here to see answer by stanbon(75887) About Me 

Question 287292: Subtract and simplify. √27 - 5 √12
Could you explain how to subtract and simplify this?
I am not sure if I came up with the correct answer and would like to check my work.
Thank you.
Cynthia

Click here to see answer by richwmiller(17219) About Me 

Question 287253: Simpify. Write the answer with positive exponents... 4^(5)*4^(7)
Click here to see answer by PRMath(133) About Me 

Question 287974: How do we type exponents on the computer?
Click here to see answer by richwmiller(17219) About Me 

Question 288142: +%283x%5E-3y%5E2%29%5E3+
Click here to see answer by Deina(147) About Me 

Question 288263: a^2 b^-2 / a^-4 b^2
Simplify answer with only psitive exponents

Click here to see answer by mananth(16946) About Me 

Question 288610: I have a question about the remaining factors.
If you have an equation of x^3+5x^2=2x-8 how do you find the remaining factors, if you know that one factor of the equation is (x+4)?
I tried out some problems, and figured out the remaining factors should be either (x+1),(x-2) or the remaining factors should be: (x-1),(x+2)........or am I wrong completely wrong?
And, could you please show me the way on HOW to figure this out? Thank you

Click here to see answer by richwmiller(17219) About Me 
Question 288610: I have a question about the remaining factors.
If you have an equation of x^3+5x^2=2x-8 how do you find the remaining factors, if you know that one factor of the equation is (x+4)?
I tried out some problems, and figured out the remaining factors should be either (x+1),(x-2) or the remaining factors should be: (x-1),(x+2)........or am I wrong completely wrong?
And, could you please show me the way on HOW to figure this out? Thank you

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

Question 288870: simplify the expression using the quotients to power rule. If possible, evaluate exponential expressions.
-3a to the third power/b to the second power and both of the to the power of 4

Click here to see answer by dabanfield(803) About Me 

Question 289325: Hey guys.
Recently in a maths textbook I read something along the lines of (xy)^3 (can't figure out how to write it so that it comes up like a power, sorry). The answer, much to my disbelief, the answer was xy^3 (as I understand it should have been x^3y^3). I wrote it off as an error in the answering sheet (something that happens somewhat often) and moved on. Now, however, I've come to an example further in the book of a question written:
{(ab)^2}^-4
it then continues:
(ab^2)^-4 = a^-4 b^2*-4
= a^-4 b^-8
= 1/(a^4b^8)
This is confusing me beyond comprehension; how is {(ab)^2}^-4 equal to (ab^2)^-4? Is it equal, or have they made yet another stuff up? Normally I'd think my previous teacher taught me wrong faced with so much evidence, but I simply can't find any consistency, everything in the brackets is raised to the -4, why not the 2? Combined with the fact that this book has had three things in a row wrong before, I'm inclined to believe who ever wrote it was either tired or drunk.
My thanks;
Matt.

Click here to see answer by scott8148(6628) About Me 
Question 289325: Hey guys.
Recently in a maths textbook I read something along the lines of (xy)^3 (can't figure out how to write it so that it comes up like a power, sorry). The answer, much to my disbelief, the answer was xy^3 (as I understand it should have been x^3y^3). I wrote it off as an error in the answering sheet (something that happens somewhat often) and moved on. Now, however, I've come to an example further in the book of a question written:
{(ab)^2}^-4
it then continues:
(ab^2)^-4 = a^-4 b^2*-4
= a^-4 b^-8
= 1/(a^4b^8)
This is confusing me beyond comprehension; how is {(ab)^2}^-4 equal to (ab^2)^-4? Is it equal, or have they made yet another stuff up? Normally I'd think my previous teacher taught me wrong faced with so much evidence, but I simply can't find any consistency, everything in the brackets is raised to the -4, why not the 2? Combined with the fact that this book has had three things in a row wrong before, I'm inclined to believe who ever wrote it was either tired or drunk.
My thanks;
Matt.

Click here to see answer by richwmiller(17219) About Me 
Question 289325: Hey guys.
Recently in a maths textbook I read something along the lines of (xy)^3 (can't figure out how to write it so that it comes up like a power, sorry). The answer, much to my disbelief, the answer was xy^3 (as I understand it should have been x^3y^3). I wrote it off as an error in the answering sheet (something that happens somewhat often) and moved on. Now, however, I've come to an example further in the book of a question written:
{(ab)^2}^-4
it then continues:
(ab^2)^-4 = a^-4 b^2*-4
= a^-4 b^-8
= 1/(a^4b^8)
This is confusing me beyond comprehension; how is {(ab)^2}^-4 equal to (ab^2)^-4? Is it equal, or have they made yet another stuff up? Normally I'd think my previous teacher taught me wrong faced with so much evidence, but I simply can't find any consistency, everything in the brackets is raised to the -4, why not the 2? Combined with the fact that this book has had three things in a row wrong before, I'm inclined to believe who ever wrote it was either tired or drunk.
My thanks;
Matt.

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

Question 289406: i need help!!!! way behind on home work and have no idea how to do this algebra! im working on perfect square trinomials. and factoring polynomials. what would 6bsquared+11b+3 how do i solve? and x squared-18x+81=0 how do i solve????
Click here to see answer by stanbon(75887) About Me 

Question 289258: 70=19-3x
Click here to see answer by texttutoring(324) About Me 

Question 289606: 1
- = ? One over z to the negative forth equals?
z-4

Click here to see answer by richwmiller(17219) About Me 

Question 289670: (4at^5 over a^3t^-1)
i've already taken all this stuff a while ago i just forget how to do it

Click here to see answer by checkley77(12844) About Me 

Question 289728: how do i simplify 6 divided by the squareroot of 5?
Click here to see answer by richwmiller(17219) About Me 

Question 289888: I don't really know what category to put this is because our teacher doesnt explain anything. No one in the class knows how to do this problem and I'm on the verge of failing so...yeah.
1. The pressure exerted by Earth's atmosphere at sea level is about 14.7 pounds per square inch. For every mile above sea level, the pressure decreases by about 18%.
a. Write an equation for the pressure y (in pounds/sq. inch) at height x (in miles) above sea level.
b. Use a graph of the function from Exercise 1 to determine at what height the atmospheric pressure is half of what it is at sea level.
c. Find out how many more miles above the height from Exercise 2 the atmospheric pressure will be halved again.
I tried using the y=ab^x formula since that's what we were working with at the time, but I don't know how to solve it that way since there's not enough data to do the subtracting of exponents? I started it like this
y=14.7(.18)^x
y=2.646^x
and put pounds as independent (x) and pressure as dependent (y) but i don't think that's right since I have no idea where to go with this after that. Help would be amazing.

Click here to see answer by richwmiller(17219) About Me 

Question 289988: evaluate if a = 2, b = 5 and c = (-3): 3a to the second power - b + 2c =
Click here to see answer by Deina(147) About Me 

Question 290467: Simplify. Write answer with positive exponents.
(b-2)
______-2
(b-5)
I can't type this to look right. It should be on top b to the negative 2 power over b to the negative 5 power. The entire fraction is in parenthesis with that to the negative 2 power on the top it shows. Please help me solve. thank you.
I thought you multiply so b to the positive 4 over b to the positive 4 would equal 1 but I was marked wrong.

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 290467: Simplify. Write answer with positive exponents.
(b-2)
______-2
(b-5)
I can't type this to look right. It should be on top b to the negative 2 power over b to the negative 5 power. The entire fraction is in parenthesis with that to the negative 2 power on the top it shows. Please help me solve. thank you.
I thought you multiply so b to the positive 4 over b to the positive 4 would equal 1 but I was marked wrong.

Click here to see answer by nerdybill(7384) About Me 

Question 290485: (0.9x^4 - 0.5x^3 + 0.3) - (1.7x^4 + 3.7x - 2.7)

Click here to see answer by richwmiller(17219) About Me 

Question 290462: this is to put ratios in simplest forms:
a. $3.00 to 80 Cents B. 3km to 200m c. 4h to 45 min
Now I know you would put each in a fraction so 300/80, 3000/200 and 240/45. Do I need to reduce them also? Just not sure about that part. Thank you.

Click here to see answer by richwmiller(17219) About Me 

Question 290454: Which of the following is not equal to 2^2^2^2?

(a) 4^2^3 (b) 8^2^4 (c) 162^2 (d) 2^4^2 (e) 2^2^4

Click here to see answer by richwmiller(17219) About Me 

Question 290634: How do I simplify 8x-5y-3(2y+x) and 4/5(20b-10)?
Click here to see answer by Deina(147) About Me 

Question 291054: suppose that 3^2x+1 = 12 Which of the following value is (1/81)^x ?
a 1/4 b 1/8 c 1/16 d 1/32 e none of these

Click here to see answer by richwmiller(17219) About Me 

Question 291150: (5x^4+6y^6)^2
Click here to see answer by stanbon(75887) About Me 

Question 291336: how do i write 4.321 x neitive ten to the tenth power in standard notaion ?
Click here to see answer by stanbon(75887) About Me 

Question 291310: what does (7x-3) to the second power mean whit is the answer

Click here to see answer by checkley77(12844) About Me 

Question 292410: 5 divided by 1 over b?
Click here to see answer by user_dude2008(1862) About Me 

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