Tutors Answer Your Questions about Exponents (FREE)
Question 543255: The instructions say to simplify the following expression and rewrite it in an equivalent form with positive exponents.
24 x^10 y
__________
24 x^3 y^6
I am coming up with x^13y^7. Is this correct and if not can you please show me how to work this? Thanks!
Click here to see answer by stanbon(57979)  |
Question 543362: Are any of these wrong? I've done the work, I would just like to know which ones are wrong please and thank you.
1. Simplify the following expression, and rewrite it in an equivalent form with positive exponents.
Answer: x^7 over y^5
2. Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression.
(-5x3y)2
Answer: 25x6y2
3. Short Answer: Simplify the following expression, and rewrite it in an equivalent form with positive exponents.(4x-2)-2
Solving: 4x*-2= -8x and -2*-2=4
Answer: -8x+4
4. Multiply the expressions, and simplify.
(x-2y3) • (2x4y-2)
Answer:2x-6y5
5. Short Answer: Convert this number to scientific notation:
64,000,000
Solving: 64,000,000 divided by 10^7= 6.4
Answer: 6.4*10^7
6. Use scientific notation to divide the following two numbers. Express the answer using scientific notation; retain at least three decimal places.
(8.7 • 109) / (3.22 • 102)
Solving:(8.7/3.22)*10^7
Answer: 2.701* 10^7
7. Add the complex expressions, and simplify.
(-10 + 3.1i) + (-6.2 + 2.5i)
-16.2 + 5.6i
-10.6i
-21.8
-10.6
8. Short Answer: Simplify the following expression; express in terms of i.√ -36
Solving: i√-36= i(6)=6i
Answer: 6i
9. Simplify the following expression.√ -90√ -15
Solving: -15* -15* -15* -15* -15* -15=90
Answer: -15√6
Click here to see answer by stanbon(57979) |
Question 548109: (8^2/3*27^3/2)/(16^3/4*9^3/4) the 2/3 etc are fractional exponents (indices) not actual fractions
I cannot seem to work this out. I have tried with the algibrator program but it seems to take a million steps for what at first appears to be a not too complicated problem. I have tried to reduce the whole numbers to , for example 8 to 2^4 etc. I do not know if this will appear correctly in the text so I will describe the problem. 8 with the fractional indices 2 over 3 times 27 with the fractional indices 3 over 4 all over 16 with the fractional indices 3 over 4 times 9 with the fractional indices 3 over 4
Click here to see answer by oberobic(2304) |
Question 548145: Compare and contrast doing operations (adding, subtracting, multiplying, and dividing) with rational expressions to doing operations with fractions. Can understanding how to work with one kind of problem help understand how to work another type?
How do we find the greatest common factor of a polynomial? Demonstrate the process with an example showing your work. When finding the greatest common factor of a polynomial, can it ever be larger than the smallest coefficient?
Describe the mathematic process of canceling like factors when working with rational expressions & demonstrate this with an example.
Click here to see answer by richard1234(5390)  |
Question 548503: Essay; show all work. Add the following polynomials: (1/10x^2 – 1/2x(-3/10))+(1/2x^2+1/4x(-1/5)) I got 3/5x^2-1/4x-1/2, but that just doesn't seem right.
Essay; show all work. Find the product: (1/3x^2-2/3)*(1/2x -1/2)
For this one I have:
1/3x2 * 1/2x* -2/3 -1/2= 1/6x3 * 1/3=1/6x^3 * 1/3=1/6x3 * 1/3
Again, this just doesn't seem right.
I have no clue what I am doing. The textbook gives one example and that was of no help at all. My teacher gets frustrated when asked questions and acts like she's been ignored, when it's just a simple thing of not getting it. Can someone please help me out with this???
Click here to see answer by stanbon(57979) |
Question 548753: I cannot figure out how to do this problem, 256n^3 = 30,976n, my teacher says that we need 3 different answers, and I have no clue where to begin with this. Thanks for your help in advance!
Click here to see answer by KMST(1936)  |
Question 550735: direction: write a rule for the nth term of the arithmetic sequence
30. d=4, a14=46
31. d=-12, a1=80. the answer is an = 92-12n but how?
32. d=5/3, a8=24
33. a5=17, a15=77
34. d=-6, a12=-4
35. a2=-28, a20=52
37. a7=34, a18=122
please show me the work with each of these problems so i could understand the concept behind it a little bit better. thanks for ur help and happy new year!
Click here to see answer by Edwin McCravy(8999)  |
Question 550732: Direction: use one of the formulas for special series to find the sum of the series.
42
∑ 1
i=1
1. 42 is on top of the symbol, i=1 is on bottom and 1 on right side.
2. 5 on top, n on right, n=1 on bottom. the answer is 15 but how?
3. 18 on top, i=1 on bottom, i on right.
4. 20 on top, k on right, k=1 on bottom
5. 6 on top, n^2 on right, n=1 on bottom.
6. 10 on top, i^2 on right, i=1 on bottom
7. 12 on top, i^2 on right, i=1 on bottom
8. 35 on top, k^2 on right, k=1 on bottom
again all these problems are shown in this symbol: ∑
thanks for ur help and happy new year!
Click here to see answer by solver91311(17077)  |
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