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

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 Algebra: Exponents and operations on exponents Solvers Lessons Answers archive Quiz In Depth

 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(6628)

 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(34677)

 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(29613)

 Question 150708: what's the difference between this two problems: -1^1000 and (-1)^1000? Click here to see answer by edjones(7794)

 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(60771)

 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(13828)

 Question 151647: I need to find z when z^6=64. I know the answer is 2 but what are the steps to solve for z? Click here to see answer by jim_thompson5910(29613)

 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(475)

 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(60771)

 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(6294)

 Question 152940: 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? Click here to see answer by Earlsdon(6294)

 Question 152854: Solve 3(-5 + 4p)- (-(-2to2nd power))p= -5p(-3to0power -(-1)3power)-/-9/ Click here to see answer by mducky2(62)

 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(7794)

 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(1513)

 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 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(34677)

 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(13828)

 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(13828)

 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(60771)

 Question 153629: 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! Click here to see answer by stanbon(60771)

 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(10616)