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

Tutors Answer Your Questions about Exponents (FREE)

Question 1192332: Consider the integers m=2^3*3^2*5^3*7^4*11^2*13^5*17^4 and n=2^5*7^8*19^9.
1.) Note that 2^3 is a factor of both m and n. Show that 2^3 is a factor of m+n.
2.) Determine the GCF and LCM of m and n. (explain reasoning)
3.) Show that GCF(m,n) is a factor of LCM(m,n).
Click here to see answer by Edwin McCravy(20054)

Question 1192622: Is -6 greater than 4?
Click here to see answer by MathLover1(20849)

Question 1192826: inflation is causing things to cost roughly 2 percent more per year. A bag of milk cost $4.75 now. How much will a bag of milk cost in 5 years? how much did the bag of milk cost 5 years ago?
Much thanks
Click here to see answer by josgarithmetic(39616)

Question 1192835: Scientist made 160mg of radioactive sodium and found that there was only 20mg left 45 hours later. What is the half life of the radioactive sodium?
Click here to see answer by ikleyn(52776)

Question 1192836: (-1/32)^0.8 Evaluate
Click here to see answer by ikleyn(52776)

Question 1192876: On Jan 1 1970 the population of Sarnia was 70000. On Jan 1 2008, the population is approximately 113000.
Find the exponential growth rate of the city
and what will the population be in 2022?
Click here to see answer by josgarithmetic(39616)

Question 1192954: Consider the integers 𝑚 = 2^3 and 3^2 × 5^3 × 7^4× 11^2 × 13^5 × 17^4 and 𝑛 = 2^5 × 7^8 × 19^9.
Note that 2^3 is a factor of both m and n. Show that 2^3is a factor of m+n.
All steps must be shown and connected to all information provided in the expressions. No credit is given if explanations are not provided.
Click here to see answer by ikleyn(52776)

Question 1193254: MAT 145: Topics In Contemporary Math
17: Exponential Growth
6) When Professor Holz’ cats were allowed outside, the population of birds and small fuzzy animals (chipmunks, squirrels, and rabbits) slowly decreased (both of his kitties are pretty good hunters!) The total population of the other animals decreased by 1% per week. If the neighborhood originally had 500 animals, how many were left after two years (104 weeks)?
Click here to see answer by Theo(13342)

Question 1193925: 3 to the third power divided by 3 to the negative fourth power

Click here to see answer by Edwin McCravy(20054)

Question 1194006: What is the simplified/expanded form of 16 to the -2/3 power? I know that if it was a non-negative exponent, the answer would just be cube root of (16²). But since the negative sign means it will be inversed (meaning become a fraction), what is the numerator and what is the denominator?
Click here to see answer by ikleyn(52776)

Question 1193880: Integral of x^4e^-x^3 using u-substitution or integral by parts
Click here to see answer by Edwin McCravy(20054)

Question 1194279: Describe all transoformations that apply to the function y=3(x-4)^3 + 7 compared to the parent function y=x^3. I know the function would shift right 4 and up 7 but wasn't sure what transformation the 3 would cause.
Click here to see answer by ikleyn(52776)

Question 1194296: Solve for x. Round to the nearest hundredth.
3*4^x-1 + 7=316
Click here to see answer by math_tutor2020(3816)

Question 1194801: How many digits are in the expansion of 5^30? How do you do it without a calculator. Show your steps.
Click here to see answer by ikleyn(52776)

Question 1195594: I need help to multiply and simplify (2x^-4y^-4)(-7x^4y^-2)
Click here to see answer by Edwin McCravy(20054)

Question 1195842: quotient of 5a and b is written as
Click here to see answer by ikleyn(52776)

Question 1196157: Find the modulus and argument of √(1+2i)/(1-2i)
Click here to see answer by Edwin McCravy(20054)

Question 1196157: Find the modulus and argument of √(1+2i)/(1-2i)
Click here to see answer by ikleyn(52776)

Question 1196553: A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality is 0.2. It can be shown that the downward velocity of the sky diver at time t is given by
𝑣(𝑡) = 54(1 − exp(−0.2𝑡))
where t is measured in seconds and 𝑣(𝑡) is measured in meters/second. The maximum velocity of a falling object with wind resistance (as 𝑡 → ∞) is called its terminal velocity. With this definition, find the maximum velocity of this sky diver.
Click here to see answer by ikleyn(52776)

Question 1196631: 6x+3

Click here to see answer by ikleyn(52776)

Question 1196942: The population of a city grows exponentially according to the following relation: P= 5000(1.015)^t, where P is the estimated population and t is the number of years after 2005.
What was the population in 2005?
What will be the population in 2028?

Click here to see answer by math_tutor2020(3816)

Question 1196943: The remaining concentration of a drug in a person’s bloodstream is modeled by the relation ᠎᠎C=C0(1/2)^t/8, where C is the remaining concentration of the drug in the bloodstream in milligrams per milliliter of blood, C0 is the initial concentration, and t is the time, in hours, that the drug is in the bloodstream.
What is the half-life of this drug?
A nurse gave a patient this drug, which was 20 mg/ml. What is the concentration of this drug in 3.5 hours?
Click here to see answer by Theo(13342)

Question 1196944: The remaining concentration of a drug in a person’s bloodstream is modeled by the relation ᠎᠎C=C0(1/2)^t/8, where C is the remaining concentration of the drug in the bloodstream in milligrams per milliliter of blood, C0 is the initial concentration, and t is the time, in hours, that the drug is in the bloodstream.
What is the half-life of this drug?
A nurse gave a patient this drug, which was 20 mg/ml. What is the concentration of this drug in 3.5 hours?
Click here to see answer by math_tutor2020(3816)

Question 1197086: Find the x- and y-intercepts.
x − 4y = 8

x-intercept (x, y)=
y-intercept (x, y)=
Click here to see answer by ewatrrr(24785)

Question 1197088: An electric company pays line workers $9 per hour plus $0.10 for each transistor produced. The equation that describes the hourly wage, W (in dollars), is W = 0.1n + 9 where n is the number of transistors produced during any given hour. Use the coordinate axes to graph this equation for 0 ≤ n ≤ 20.

The point (15, 10.5) is on the graph. Complete the sentence that describes the meaning of this ordered pair.
The tree service will charge $______ to remove________trees?
Click here to see answer by ewatrrr(24785)

Question 1197087: A basketball pro is paid $27 an hour for a private lesson by members of a condominium group. The equation that describes the total earnings, E (in dollars), received by the pro is E = 27t, where t is the total number of hours worked. Use the coordinate axes to graph this equation for 0 ≤ t ≤ 30.
The basketball pro will earn $_________for working________ hours?
Click here to see answer by ewatrrr(24785)

Question 1197153: How to solve 774+447+113

Click here to see answer by ikleyn(52776)

Question 1197153: How to solve 774+447+113

Click here to see answer by MathLover1(20849)

Question 1197176: Is the following simplification correct? Why or why not? Use complete sentences to explain your answer.

2^5 * 2^7 = 4^12

Click here to see answer by ikleyn(52776)

Question 1197176: Is the following simplification correct? Why or why not? Use complete sentences to explain your answer.

2^5 * 2^7 = 4^12

Click here to see answer by math_tutor2020(3816)

Question 1197176: Is the following simplification correct? Why or why not? Use complete sentences to explain your answer.

2^5 * 2^7 = 4^12

Click here to see answer by josgarithmetic(39616)

Question 1197435: plese help me in my homework thankyousomuch!!
car at a certain speed travels 120km during the first part. On the second part, it reduces its speed by 10kph when it travels 100km.find the speed on each part of the trip in the trip lasted for 4hours
Click here to see answer by MathLover1(20849)

Question 1197442: Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to four decimal places when necessary.)
through
(−1, −4) and (2, −0.5)
Click here to see answer by josgarithmetic(39616)

Question 1197444: Climate Change The most abundant greenhouse gas is carbon dioxide. According to figures from the Intergovernmental Panel on Climate Change (IPCC), the amount of carbon dioxide in the atmosphere (in parts of volume per million) can be approximated by
C(t) ≈ 280e0.00127t parts per million
where t is time in years since 1750.†
(a)
Use the model to estimate the amount of carbon dioxide in the atmosphere in
1975, 2000, 2050, and 2100.
(Round your answers to the nearest whole number.)
year 1975 2000 2050 2100

C(t) parts per million

(b)
According to the model, in what year, to the nearest decade, will the level surpass 380 parts per million?

Click here to see answer by math_tutor2020(3816)

Question 1197445: (b) Extrapolate your model to estimate the cost of a two-bedroom downtown apartment in 2008. (Round your answer to one decimal place.)
$

Click here to see answer by math_tutor2020(3816)

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, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020