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

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Question 133631: Hello, I appreciate everyone help these last couple days as I get ready to take a math assessment. I haven't done this stuff in years! I just discovered this site :) wish I had known about it a long time ago lol. Okay here is probably my last question till I get assessed...can someone please explain how to solve this and the rules behind this radical expression. Given: x and y are greater than zero. Here it is the square root of x divided by 3 times the square root of x minus the square root of y. Does that make sense?
Click here to see answer by jim_thompson5910(35256)

Question 133822: Simplifying Expressions:
Simplify, if possible. Write your answers as a power or as a product of powers.

5^3 x (5a^4)^2

The answer I got was 5^5a^8
I don't think that I'm doing it right though.
Could you please explain the steps I should be taking?
Click here to see answer by Earlsdon(6294)

Question 133805: Simplifying Expressions:
Simplify, if possible. Write your answer as a power or as a product of powers.

(-2xy)^3 (-x^2)

I'm getting confused on how far to go, and do you combine both of the problems in the quotations?
Or Is the 2x^3y^3-x^2 that I got as an anwer correct, or even close to the right direction?
Click here to see answer by checkley71(8403)

Question 134371: Question: 0.6=0.88^x
How do I find x and can it be done on a calculator?
I found the answer by 0.6 divided by 0.88 and counted the number of reps till I got the answer 1 (or close to), but there must be a better way.
Click here to see answer by stanbon(75887)

Question 134381: Find the smallest whole number that when divided by 5,7,9, and 11, respectively, gives remainders of 1,2,3, and 4.
Click here to see answer by vleith(2983)

Question 134402: How would I do these problems?
(1/a)^-1 = a
a^-1/a^0 = 1/a
And is this problem true?
(4 + 5)^-1 = 4^-1 + 5^-1
Please show all work. Thank you!!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 134588: Dear Tutor
Could you please help me with this investigation question from an old Maths Textbook?
Please solve this inequation:

The book only gives the answer: . I tried to use "log" or "cube roots" to find out x but it seemed neither of them helped. Therefore, could you please show me how do you get ? Thank you in advance. :-)
Click here to see answer by stanbon(75887)

Question 134917: How are power of a quotient perform with no base number?
Click here to see answer by solver91311(24713)

Question 135122: 5^-2=
a) 1/25
b)-1/25
c)1/10
d)-10
Click here to see answer by stanbon(75887)

Question 135337: Can someone point me to the right direction with this problem?
Use a combination of rules and exponents to simplify each expression.
y to the negative 8 power times y to the 5 power times y to the negative 2 power.
So far I come up with y to the neg. 8 power over 1 = 1 over y to the 8 power. Does it just become positive y to the 8 so you can begin to times it by the y to the 5 power and so forth? I would like to know if I am doing the problem right.
Anyones response greatly appreciated.
Click here to see answer by Earlsdon(6294)

Question 135641: 6x+2x=7x+1
Click here to see answer by baholik06(4)

Question 135806: Can you please help me solve this formula:
I know that there are three answeres I just don't know how to start it.
Thank You
Click here to see answer by checkley77(12844)

Question 135806: Can you please help me solve this formula:
I know that there are three answeres I just don't know how to start it.
Thank You
Click here to see answer by ptaylor(2198)

Question 135883: please help me solve these problems, Thank You!:
(2a^2n^5)(-3an^2)=
(3qn^2)^3=
(y^7/6)^2=
Click here to see answer by checkley77(12844)

Question 136061: My question is regarding Sessa's reward. What is the equation to determine the total number of grains of rice after 64 days?
Click here to see answer by stanbon(75887)

Question 136266: Solve the following equations for the unknown.

1)6.2(x - 15.1) = 9.3(-x - 3.2)

2)x/3 - 7/8 = 2/5(x + 15/4)

Click here to see answer by checkley77(12844)

Question 136304: how do I simplify ?
Click here to see answer by checkley77(12844)

Question 136262: Solve the following equation for the unknown:
1) 6.2(x - 15.1) = 9.3(-x - 3.2)
Click here to see answer by checkley77(12844)

Question 136440: if P+ 7y+2xy-6x and Q=5-7y find the value of 3p-4q
Click here to see answer by algebrapro18(249)

Question 136506: How to i solve this equation x^3-20=44
Click here to see answer by stanbon(75887)

Question 136506: How to i solve this equation x^3-20=44
Click here to see answer by scott8148(6628)

Question 136820: how do you solve problems like 11 (-7) divided by 11 (5)
Click here to see answer by checkley77(12844)

Question 138189: Please help me solve this equation. I don't know what to do.
(-1/2)(-2/3)
Thank you,
Cindy
Click here to see answer by stanbon(75887)

Question 139238: Please help me solve this question, long time i don't divide polinomians, i will appreciate it. thank you.
20a^2+7ab-3b^2/4a-b
Click here to see answer by checkley77(12844)

Question 139526: x^3(2x^-2+4x)
what is the method of answering the question above?
Click here to see answer by stanbon(75887)

Question 140613: Is it possible to have squares of any integer to be a negative one?
Say x^2= -1 or -4?
Click here to see answer by scott8148(6628)

Question 140848: Dear tutors,
Simplify y^3*y^2*y^4
Does it equal
A.)y^9
B.)y^24
C.)24y^4
D.)2y^7 Thanks so much!
Click here to see answer by rapaljer(4671)

Question 140881: how do you do the problem between what 2 integers does 4.23*10-5
Click here to see answer by stanbon(75887)

Question 140877: how do you do problem number 6
Click here to see answer by rapaljer(4671)

Question 140820: In the expression 5 to the 2nd power, the 5 is called the ___________________. and the 2 is called the _______________________.
Click here to see answer by rapaljer(4671)

Question 140809: Calculate
(6x10^5)^2

Click here to see answer by checkley77(12844)

Question 140808: Simplify
(w^7)^-4

Click here to see answer by rapaljer(4671)

Question 140808: Simplify
(w^7)^-4

Click here to see answer by checkley77(12844)

Question 140926: In 2004 the population of the US was 294.4 million. if the population continues to grow at an annual rate of 1.05% then the population in the year 2015 will be 294.4(1.0105)to the 11th power million. Evaluate the expression to find the predicted population in 2015 to the nearest tenth of a million people. Estimate what year the population will reach 350 million people.
Click here to see answer by stanbon(75887)

Question 141084: Simply the expression
3x(x^5)^2
--------------
6x^3(x^2)^4
Click here to see answer by rapaljer(4671)

Question 141094: Simplify
(-6x^2y^4z^9)^2
(------------)
( 3x^6y^4z^3)
Click here to see answer by rapaljer(4671)

Question 141178: please help. simplify 6/5w / 2/5w thanks
Click here to see answer by stanbon(75887)

Question 141217: My problem, I don't know how to set them correctly (or effectively) to where they make sense to me. I am a senior citizen who has gone back to school.
Click here to see answer by solver91311(24713)

Question 141431: How do you solve this rational expression?
(5X^3)(16X^2)/80X^3.
I have tried doing it on my own, but my teacher did not explain how to do it...
Click here to see answer by rapaljer(4671)

Question 141444: (-12)then exponent -2, then what is the differnce between that and -12 and exponent -2?
Click here to see answer by solver91311(24713)

Question 141635: Please, I need your help.
Find the accumulated value of an investment of $8000 at 8% compounded semiannually for 6 years. Round your answer to the nearest cent.
Click here to see answer by checkley77(12844)

Question 141639: Thanks for the previous question answered. Pls, help me in this one also
Cindy will require $12,000 in 5 years to return to college to get her degree. How much money should she ask her parents for now so that, if she invests it at 12% compounded continuously, she will have enough for school? (Round your answer to the nearest dollar.)
Click here to see answer by stanbon(75887)

Question 142397: fractional exponents inq: solve for x. this question is not from the book. its from a worksheet my teacher created.
Click here to see answer by stanbon(75887)

Question 142420: fractional exponents: this is not from a book its from a work shett my teacher made.
Click here to see answer by checkley77(12844)

Question 142419: fractional exponents: this is not from a book its from a work shett my teacher made.
Click here to see answer by checkley77(12844)

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