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

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Algebra: Exponents and operations on exponents

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Question 150035: I am interested in finding a simple explanation as to why a number taken to a zero power is equal to 1.
Thanks.
Click here to see answer by scott8148(3385)

Question 150070: x^2 - 10x + 35 =
sorry, I didn't pose the problem properly. Thank you for your time and patience.
Click here to see answer by Alan3354(6097)

Question 150069: X(2)-10x+35=
Click here to see answer by Fombitz(2113)

Question 150178: Could you please help me with this problem: [[[ (x^-1y^2/x^2y^-2)^4(x^3y^-1/x^-1y^2)^-2 ]]]
Click here to see answer by stanbon(26297)

Question 150514: Trying to solve for i here:
17000=10000(1+i)^5
I know the answer is 11.20 but trying to calculate myself
Click here to see answer by jim_thompson5910(13794)

Question 150708: what's the difference between this two problems: -1^1000 and (-1)^1000?
Click here to see answer by edjones(3298)

Question 150908: Find the exponential decay function for a radioactive material that has a half-life of 1234 years. How long will it take until only 10% of the material remains.
P(T) = P e^-kt
Click here to see answer by stanbon(26297)

Question 151028: this needs to be in scientific notation
(6.02x10^23)(9.31x10^-31)/[(3.14x10^21)(1.56x10^-15)]
this is what I have done so far
the numerator 56.0462x10^-8
the denominator 4.8984x10^6
the numerator 5.60462x10^-1x10^-8=5.60462x10^-9
the denominator4.8984x10^6
am I doing this right? Am I finished? or do I need to simplify it more?
Please help.. thank you for your time
Dianne
Click here to see answer by Fombitz(2113)

Question 151278: 1x10^-6
Click here to see answer by jojo14344(1483)

Question 151424: ((x-3)/(x^2-2x-15))+((x+2)/(5-x))
Click here to see answer by jim_thompson5910(13794)

Question 151601: x^10 y^3 -4x^9 y^2 -21x^8 y
Click here to see answer by jim_thompson5910(13794)

Question 151647This question is from textbook PreAlgebra
: I need to find z when z^6=64. I know the answer is 2 but what are the steps to solve for z?This question is from textbook PreAlgebra

Click here to see answer by jim_thompson5910(13794)

Question 151651: in scientific notation, 20,000 + 3,400,000=?
Click here to see answer by checkley77(7072)

Question 151651: in scientific notation, 20,000 + 3,400,000=?
Click here to see answer by jim_thompson5910(13794)

Question 151829: What is the greatest positive integer n such that 2^n is a factor of 12^10?
Click here to see answer by nabla(412)

Question 151865: What is the LCM of 6x^2y^3z and 15x^3yz^2
I know the LCM of 6 and 15 is 30 but I don't know what to do with the exponents
Click here to see answer by stanbon(26297)

Question 151941: (b^2)^4
Click here to see answer by checkley77(7072)

Question 152005: 5^(x+7)=625^(x-7)
x= ?
Click here to see answer by orca(409)

Question 152377: I am doing exponents in expanded form and have a question:
In the number 1,203,487,386 when I start to expand this to (1 x 10-10)+(2 x 10-9)+ do I include the 0 or leave it out?)
Click here to see answer by Earlsdon(4900)

Question 152367: 6(8-3(1)+4(1/2)
Click here to see answer by jojo14344(1483)

Question 152390: Simplify, no negative exponents or decimal answers:
(2x^3y)^3(-3xy^2)^2
Click here to see answer by orca(409)

Question 152389: Simplify: No negative exponents and no decimal answers.
(27a^3b^2c^5/45a^4c^2)^3
Click here to see answer by orca(409)

Question 152852: what is the order of operatons
Click here to see answer by mangopeeler07(450)

Question 152940This question is from textbook
: the square of a number is the second power of the number. the cube of a number is the third power of the power. Explain why these names are reasonable?This question is from textbook

Click here to see answer by Earlsdon(4900)

Question 152953: (2x) the exponet is 3
Click here to see answer by jim_thompson5910(13794)

Question 152854: Solve
3(-5 + 4p)- (-(-2to2nd power))p= -5p(-3to0power -(-1)3power)-/-9/

Click here to see answer by mducky2(55)

Question 152965: evaluate
(1/3)^2 + 1/4 - (4/3)^2 * (1/2)^3
1/9 + 1/4 - 16/9 * 1/8
1/9 + 1/4 -128/72 + 9
1/9 + 1/4 - 137/72
I tried to do it myself. Would you please check my work?
Thank you very much!!
Click here to see answer by edjones(3298)

Question 152396: Simplify: no negative exponents or decimal answers
x^-2-y^-2/x^-1-y^-1

Click here to see answer by orca(409)

Question 153116: 2^x = 8
I know the answer is 3, but how do you solve for x?
x = ?
Click here to see answer by jojo14344(1483)

Question 152398: Simplify without negative exponents or decimals in the final answer:
(square root of a^4/4)^3
Click here to see answer by orca(409)

Question 152696: Express in simplest form with rationalized denominators: a sqrt 2x^3 + sqrt 8a^2x^3
Click here to see answer by orca(409)

Question 153078: Simplify- 9+(19-9)2nd power divided by 5.2
Click here to see answer by checkley77(7072)

Question 153269: Simplify.
work:
so far i have simplified into then that simplifies into
i also simplified into which then turns into
altogether can be simplified any further? also, is my work so far right?

Click here to see answer by Alan3354(6097)

Question 153330: My daughter is doing a summer math packet and we seem to have answered most problems by using the examples to work from but one example I cannot make any sense of....I do not know the sign it is using
The example is 4 to the power 3 < 5 to the power 5 = 4 to the power 8???
I have tried resolving the numbers 64<3125 = 65,536.....I cannot find a relationship that makes this work....HELP PLEASE!!!!

Click here to see answer by Fombitz(2113)

Question 153332: The response to my question 153330 is incorrect
The equation is 4topower 3 < 5to power 5=4power8
it does not makes sense....or am i missing something
Click here to see answer by Fombitz(2113)

Question 153416: what does a problem mean when it's to the 4th power or 5th power,whatever the number is to the 4th power or whatever. how do I work this problem.
example: 3 to the 4th power or -2 to the 5th power how do I do this?
Click here to see answer by stanbon(26297)

Question 153469: Simplify [(3/4)^2 - (1/3)^3] * 3^2.
I REALY NEED YOUR HELP WITH THIS...THANKS
Click here to see answer by orca(409)

Question 153629This question is from textbook Intermediate Algebra
: This problem is new to me, so if someone can help me, I would appreciate it. This deals with radical exponents; exponential and logarithmic functions.
My problem is to simplify each expression. All variables represent positive real numbers.
sqrt of 25b^2 with 4 as the cube root
Thanks a lot!This question is from textbook Intermediate Algebra

Click here to see answer by stanbon(26297)

Question 153692: One common use of positive and negative exponents is in writing numbers as scientific notation. For example 0.000052 can be written as 5.2  10-5. A) Use scientific notation and the laws of exponents to evaluate (0.000054)(0.00000033)(0.013). Leave your answer in scientific notation. B) If a space probe travels at 12 kilometers per second for 10 years, how far will it travel? Write your answer in scientific notation. (Assume 1 year = 365 days)
Click here to see answer by josmiceli(3013)

Question 153727: write the pattern using exponents: 2,4,8,16...
Click here to see answer by jim_thompson5910(13794)

Question 153756: How would you solve (x+y)cubed?
Click here to see answer by checkley77(7072)

Question 153796: evaluate each expression for tha given values of the variables
4t-3s^2+s^3 for t=-2 and s= -3
Click here to see answer by checkley77(7072)

Question 154034: 126 divided by 2 times y to the 3rd power
y=3
Click here to see answer by checkley77(7072)

Question 154180: I wanted to make sure I got this correct, answer needs to be in scientific notation. I am getting confused on the exponents on the outside of the parentheses.
(1.63x10^8)^2/(5.55x10^6)^3=?
Click here to see answer by stanbon(26297)

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