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

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Question 1152759: The number of different license plates of the form three digits followed by three letters is
10 · 10 · 10 · 26 · 26 · 26.
Write this expression using exponents.
Also, Evaluate it.
________________________________________
BTW there is a license plate that says: | WB county UTAH 05 |
| |
| 123ABC |
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I dont know if thats anyhelp but yeah. Thanks to whoever solves this for me!
Click here to see answer by MathTherapy(10549)

Question 1152827: A light year is 5.88 1012 miles. Find the diameter of the Milky Way in miles. (Round the expression that precedes the multiplication sign to two decimal places.) Thanks!
Click here to see answer by Alan3354(69443)

Question 1152962: Simplify (−2r2s3t) exponent 3
Click here to see answer by josgarithmetic(39613)

Question 1153210: The fox population in a certain region has an annual growth rate of 7% per year. In the year 2012, there were 22,800 foxes counted in the area. What is the fox population predicted to be in the year 2020? (Round your answer to the nearest whole number.)

Click here to see answer by ikleyn(52747)

Question 1153207: Rochelle deposits $5,000 in an IRA. What will be the value (in dollars) of her investment in 25 years if the investment is earning 7% per year and is compounded continuously? (Simplify your answer completely. Round your answer to the nearest cent.)

Click here to see answer by ikleyn(52747)

Question 1153208: A car is sold for $24,000. After one year, the value of the car is $20,400. Write an exponential function y to determine the value of the car after x years if the rate of decrease is the same each year.

Estimate the value of the car after 4 years. Round the answer to the nearest dollar

Click here to see answer by josgarithmetic(39613)

Question 1153466: Find an exponential function of the form f(x) = C · a^x + D with horizontal asymptote y =1 whose graph contains the points (1,7)and (0,5).
Click here to see answer by greenestamps(13195)

Question 1153663: 3n=0.138
Click here to see answer by Alan3354(69443)

Question 1153765: The equation V= (1/3)* Pie r ^3 gives the volume, V, of a cone whose height and base radius, r, are equal. Determine the radius of the cone if it’s volume is 1000cm^3
Click here to see answer by mananth(16946)

Question 1154153: What is the answer to -a^-3
Do you put a -1 in front of the a to make it -1(a^-3) ?
Then does it become -1/ a^3

Click here to see answer by Edwin McCravy(20054)

Question 1154279: A particle P travel in a straight line so that its displacement x meters from a fixed point O is given by x=3t^2-4t^3+60, where t is the time in seconds measured from the start of the motion.Calculate
(a) the initial distance of P from O
(b) the magnitudes of the acceleration of P when it is instantaneously at rest,
(c)the average speed of P over the first two seconds
Click here to see answer by Boreal(15235)

Question 1154346: How many times larger is 9 x 10-8 than 3 x 10-12?
Click here to see answer by Edwin McCravy(20054)

Question 1154339: 7. Due to a worldwide recession, Jennifer’s financial advisor informs her the account is no
longer growing after 4 years. He recommends she move her money to an account that is more
conservative and earns only 4% annually. Determine the amount in Jennifer’s investment account
after 4 years(using the $50,000 investment), rounding to the nearest dollar. It may be helpful to
create a table. (
Click here to see answer by rothauserc(4718)

Question 1154349: Write in simplest exponent form:
7 * 7 * a * a * a * b
* = multiply
Click here to see answer by ikleyn(52747)

Question 1154585: would you rather put $3 in the bank and have it triple each week for 4 days? Or put $3 in the bank and have it quadruple each week for 3 weeks ?
Click here to see answer by fsdf(17)

Question 1154811: How do I rewrite 8 by the power of -2 without an exponent

Click here to see answer by MathLover1(20849)

Question 1154979: The estimated mass of one of the smallest living organisms is 1.0*10^-16 g. How many of these organisms are needed to have a total mass of one g?
Click here to see answer by josgarithmetic(39613)

Question 1155086: Write ^5√3x ^3 using exponents

Click here to see answer by MathLover1(20849)

Question 1155251: The loudness of sound is measured in decibels (db)
Example : The sound of a phone ringing , at 60 dB, has a sound intensity of 10^6 units.
A loud rock concert might have a sound intensity of 120 db. How many times louder is the sound intensity at a rock concert compared to that of a phone ringing?
Click here to see answer by Alan3354(69443)

Question 1155474: Simplify the following exponential expression: x-2/y-4
and
Perform the following calculation: (1 x 102)(2 x 103)/(1 x 10^2)
Thank you
Click here to see answer by ikleyn(52747)

Question 1156050: The half-life for thorium-227 is 18.72 days. The amount A (in grams) of thorium-227 after t days for a 10-gram sample is given by A(t)=10⋅0.5^t/18.72
How long will it take before 3 grams of thorium-227 is left in the sample? Round your answer to the hundredths place.
....days
Thank you
Click here to see answer by greenestamps(13195)

Question 1156132: 25^(5-x)=1
Find x
Click here to see answer by Edwin McCravy(20054)

Question 1156129: Solve for x, 5^√x - 5^(x-7)=100
Click here to see answer by Alan3354(69443)

Question 1156506: An isotype of Sodium, Na-24, has a half life of 10h. If a sample contains 400 units of Na-24, the exponential function to model this is y=400(1/2)^x.
What does the variable y represent in this situation?
What does the variable x represent in this situation?
Im confused and don't know how to figure this out.
Click here to see answer by ikleyn(52747)

Question 1156604: Is the square root of negative 1 greater than 1?

Click here to see answer by MathLover1(20849)

Question 1156604: Is the square root of negative 1 greater than 1?

Click here to see answer by ikleyn(52747)

Question 1156769: The isotope Iluvmathium has a half life of 4 years.
A sample contains 84 units of radioactive Iluvmathium.
a)Write an exponential function to model the amount of Iluvmathium left, y, after n, half lives.
b) What amount of Iluvmathium remains after 24 years, to one decimal place?

I have the answers and have solved these, Im just unsure if im correct
Click here to see answer by ikleyn(52747)

Question 1156772: A vehicle depreciates at a rate of 25% per year. A new car was purchased for $28 500.
Write an exponential function to model the depreciated value of the vehicle, where y is the value of the vehicle and x is the number of years since purchased.
Use your equation in part a to determine the value of the vehicle after 4 years, to two decimal places.
Click here to see answer by josgarithmetic(39613)

Question 1156886: 8 to the power of negative 2 times a to the power of 7
Click here to see answer by MathLover1(20849)

Question 1156886: 8 to the power of negative 2 times a to the power of 7
Click here to see answer by MathTherapy(10549)

Question 1156886: 8 to the power of negative 2 times a to the power of 7
Click here to see answer by josgarithmetic(39613)

Question 1156886: 8 to the power of negative 2 times a to the power of 7
Click here to see answer by greenestamps(13195)

Question 1156977: x^2-1=2-2x
Find x
Click here to see answer by josgarithmetic(39613)

Question 1157176: Please help me solve this
3^-1 x (1/9)^-1 x 27^-1 x (1/81)^-1
Thank you very much

Click here to see answer by josmiceli(19441)

Question 1157440: (a^4-64)/(a-4)
Click here to see answer by greenestamps(13195)

Question 1157440: (a^4-64)/(a-4)
Click here to see answer by josgarithmetic(39613)

Question 1157434: a^4-4^3/a-4
Click here to see answer by ikleyn(52747)

Question 1157469: Which function is decreasing more quickly?
y=0.4^x and y=0.1^x
Click here to see answer by ikleyn(52747)

Question 1157468: Which function is increasing more quickly?
y=300(1.05)^x and y=300(1.15)^x

Click here to see answer by ikleyn(52747)

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