Tutors Answer Your Questions about Exponents (FREE)
Question 43526: Can you tell me if I have simplified this equation correctly?
(9y^2/(x^-8*y^0))^1/2
I first found that y^0 = 1. So that would drop out of the equation.
Then I thought that raising to the 1/2 is the same as taking the square root of the equation.
So I now have the square root of 9y^2 / square root of x^-8.
The square root of 9y^2 is 3y. So I now have 3y/square root of x^-8.
I think that a negative exponent is the reciprocal of the positive so I now have 3y * square root of x^8. And x^8 is x^4 * x^4. So if I take the square root of x^4 is x^2. So I ended up with 3y*2x^2. Is that right?
Click here to see answer by Earlsdon(6294)  |
Question 43832: Please help me. The instructions are: simplify each expression. Assume that all variables represent positive numbers. Write with only positive exponents.
(a) to the 1/3 power, (a) to the 4/3 power, (a) to the 1/2 power.
First I wrote them all in Radical Form and tried to find the cube root of each of them, but I don't understand what to do.
Thanks so much!
Click here to see answer by tutorcecilia(2152)  |
Question 43835: Please help me. The instructions are: Simplify each expression. Assume that all variables represent positive numbers. Write with only positive exponents. Here is the problem.
 ^1/3
I wrote this problem as a Radical Function but I don't know what to do after that.
Thanks so much.
Click here to see answer by fractalier(6550)  |
Question 43836: Please help me. The instructions are: Use rational exponents to write each radical with the same index. Then multiply. Here is the problem.
The cube root of 2, times the square root of 7.
I don't know how to get the index's the same.
Thanks so much.
Click here to see answer by stanbon(75887) |
Question 43939: I have three problems that I am having trouble solving I hope that is okay. Here they are with what work I have done.
simplify: (3x^4)^2(4x^-5)^-1/12x^-6 = (3x^4) (3x^4)=9x^8
9x^8 * 4x^-6/12x^-6
simplify 4th root of (x^5 divided by 16y^15)
simplify: (x^1/4y^1/2)^2(x^2y^3)^1/2
thank you so much
Click here to see answer by stanbon(75887) |
Question 34674: Whenever a problem contains fractions, present your answer in fractional form; reduce to lowest terms, but do not change improper fractions to mixed numbers. No answers are to be expressed as mixed numbers. All fractional coefficients and any multi-term numerators/denominators must be enclosed in parentheses. Assume that all variables in any denominator are nonzero. Express all answers with positive exponents only; evaluate exponents when possible.
Click here to see answer by monica17(5) |
Question 46287: 2x^2y(x + y^3 + z^5)
In this type of operation, do you do the part in ( ) first? How would this be done to know what x,y, and z are if you do that part first? Is y going to be the same number on the inside as well as the outside of the ( )? Can you show me how to simplify and show the work please? I am not a genius at Algebra, so please if you have time to show me step-by-step? THANK YOU!!!!!!!!!!!!!!!
Click here to see answer by jake_6233(74) |
Question 48902: Radical and rational exponent notation are two ways to show the same process.
Explain the similarities between radicals and rational exponent notation.
Provide at least two other examples of mathematical notation or wording denoting the same process.
Click here to see answer by tutorcecilia(2152) |
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