Questions on Algebra: Negative and Fractional exponents answered by real tutors!

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Question 1025756: Which expression
is equivalent to
64 - x^2?
A. (8-x)(8-x)
B. (8-x)(8+x)
C. (x-8)(x-8)
D. (x-8)(x+8)
Click here to see answer by Theo(13342)

Question 1025919: what re all the possible answers to the problem: 7 to the 8th power times 7 to the negative fourth power?
Click here to see answer by stanbon(75887)

Question 1026378: This exercise uses the population growth model.
The population of a certain city was 169,000 in 2014, and the observed doubling time for the population is 19 years.

(a) Find an exponential model
n(t) = n0ert
for the population t years after 2014. (Round your r value to four decimal places.)
n(t) =
(b) Estimate how long it takes the population to reach 500,000. (Round your answer to two decimal places.)
_____ yr
Click here to see answer by solver91311(24713)

Question 1026380: If 250 mg of a radioactive element decays to 230 mg in 12 hours, find the half-life of the element. (Round your answer to the nearest whole number.)
Click here to see answer by josgarithmetic(39621)

Question 1026385: This exercise uses the population growth model.
A culture starts with 8700 bacteria. After 1 hour the count is 10,000.
(a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.)
n(t) =

(b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.)
_____bacteria
(c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.)
_____hr
Click here to see answer by josgarithmetic(39621)

Question 1026630: How do I write 1/729 in its simplest surd form?
Thanks in advance.
Click here to see answer by stanbon(75887)

Question 1026381: If 250 mg of a radioactive element decays to 230 mg in 12 hours, find the half-life of the element. (Round your answer to the nearest whole number.)
______hr
Click here to see answer by robertb(5830)

Question 1027540: Write (16)^1/3 in its simplest surd form.
I understand how to do both separate parts, but how to put them together? Thanks
Click here to see answer by Edwin McCravy(20060)

Question 1000503: Solving linear equations by addition
I have tried adding three to both sides of the first equation on this question but I'm still not coming out with the right answer
2s+3t=-1
5s=2t+7
Click here to see answer by Edwin McCravy(20060)

Question 1027667: Simplify: (8x^2 and a 1/2 ) divided by (2x^1/2)
Can you please explain this in an understandable way with a clear explanation? Thanks.
Click here to see answer by mananth(16946)

Question 1028300: Rationalizing.
square root a over square root a + square root b
(squA)/(squA+squB)
Can someone please set this up for me? How it equals a- squAB/a-b
Click here to see answer by Alan3354(69443)

Question 1028378: Write (-625)^2/3 in its simplest surd form.
How do you do a power of a fraction with 2 as the numerator?? How do you do this question.
Click here to see answer by josgarithmetic(39621)

Question 1029556: 2/5+0=
Click here to see answer by Fombitz(32388)

Question 1029793: t need help solving -8-[-4]+5 in steps

Click here to see answer by Fombitz(32388)

Question 1029733: What 2#'s multiplied equals -9 but added also equals -10?
Click here to see answer by fractalier(6550)

Question 1030851: Answers with positive exponents (-14cpower2 d power4)(3cpower negative 6 d power negative 4
Click here to see answer by fractalier(6550)

Question 1030879: For the scientific notation of 1.26*10^9 over 4.2*10^-3
I'm thinking .3 10^6 which converts to... 3 10^5? Maybe?
Click here to see answer by Alan3354(69443)

Question 1031021: My math question says- Simplify 4^6 x 4^-2. I know you put the 4^-2 under the 4^6, but I don't know what they mean by simplify.
Click here to see answer by mananth(16946)

Question 1033499: Is y=100^(-3x) an exponential function?
Click here to see answer by Alan3354(69443)

Question 1033499: Is y=100^(-3x) an exponential function?
Click here to see answer by ikleyn(52818)

Question 1033550: A jewelry sells a necklaces for the cost of chain plus the cost of beads. Chain costs $20 each and beads cost $7.50 each. To which function family does the equation that best describes the cost of a necklace with x beads belong?
Is it linear?
Click here to see answer by stanbon(75887)

Question 1033547: A restaurant charges $16 for a large pizza plus $1.50 per topping.
a)which type of function best describes the cost of a pizza, linear,quadratic or exponential?
b)Write a function that describes the cost of pizza with x toppings?
Click here to see answer by addingup(3677)

Question 1033748: x-2/3+x-3/4=x-1/2
What is the value of x

Click here to see answer by Fombitz(32388)

Question 1034508: how do I write this without exponents (2b)4 is the
exponet?

Click here to see answer by stanbon(75887)

Question 1034652: Find two consecutive even integers such that six times the first is three times the second.
Click here to see answer by MathLover1(20850)

Question 1034704: Hello tutor,
I am a returning student and have been brushing up on my algebra, but I can't seem to crack this problem for my chem class. Could you please lay this out for me in steps?
(3*0.058cm^3/4pi)^1/3
in otherwords, ((3 divided by 4 pi) times 0.058 cubic cm.) and the entirety is raised to the 1/3 power.
The book gives the answer of 0.24013 cm., but I am just not getting there! I really appreciate any help. Roxanne
Click here to see answer by Alan3354(69443)

Question 1034793: If z =1/2, which expression has the greatest value?
1. (z^-2 z^5)^-2
2. (z^3)^5
3. z^-6 z^4
4.-(z^2 z^-4)^-3
Click here to see answer by stanbon(75887)

Question 1034976: what is 3/5 expressed as /45

Click here to see answer by Cromlix(4381)

Question 1037616: If the sum of the four number is 1214 to base 5 what is the average expressed in base five
Click here to see answer by Alan3354(69443)

Question 1037662: sqrt(7-x)+2=1-x
Click here to see answer by Alan3354(69443)

Question 1037661: Find all real solutions of the equation.
7x^3-x+1=x^3+3x^2+x
Click here to see answer by josgarithmetic(39621)

Question 1037929: Simplify:
(a^-4b^3)/(a^4b)
(a^-3b^-6)/(a^-5b^0)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1037956: Find all real solutions of the equation.
3x^-4 - 24x^-2 + 3=
Click here to see answer by Alan3354(69443)

Question 1037956: Find all real solutions of the equation.
3x^-4 - 24x^-2 + 3=
Click here to see answer by Edwin McCravy(20060)

Question 1038362: how to solve (1-((a^2)/(b^2)))^(1/2)
Click here to see answer by Fombitz(32388)

Question 1040077: (4,5),m=7\8 find the equation of a line containing the given point and having the given slope
Click here to see answer by Alan3354(69443)

Question 1042243: The book is not making any sense to me, please help!
Perform the long division and write the partial fraction decomposition of the remainder term.
(x^4 - x^2 + 2)/(x^3 - x^2)
Click here to see answer by Edwin McCravy(20060)

Question 1043286: Perform the long division and write the partial fraction decomposition of the remainder term.
(x^5 + 2)/(x^2 - 1)

Click here to see answer by Edwin McCravy(20060)

Question 1044788: (2^-1�5^-1)�(-5/8)^-1= ?
Click here to see answer by Cromlix(4381)

Question 1045342: Hello. Can you please help me determine where the parenthesis would go into the equation to make it true
2+3*4^2+1=5
Click here to see answer by Alan3354(69443)

Question 1045843: you are making a rectangular poster to advertise a school fundraiser . you want the poster to be twice as long as it is wide. let w represent the width [in meters] of the poster. write and simplify an expression in terms of w for the perimeter of the poster.

Click here to see answer by ewatrrr(24785)

Question 1047069: -5/6 + (-5/6)=
Click here to see answer by Alan3354(69443)

Question 1047103: solve for x
log(x-3) log (x 3) = log 16
Click here to see answer by Alan3354(69443)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330