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

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Question 1096168: Arrange the following numbers in ascending order of magnitude:
2^750, 3^500, 7^250
Click here to see answer by Alan3354(69443)

Question 1096166: What is -1/8 as a power with a negative exponent?
Click here to see answer by Alan3354(69443)

Question 1096182: Draw a model to show the value of this expression. 5 divided 102
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Question 1096208: Please tell me why 0^0=1
Click here to see answer by richwmiller(17219)

Question 1096721: State both real values of x that satisfy the equation [(3x+4)/(5x+1)]^2+(3x+4)/(5x+1)=12
Click here to see answer by ikleyn(52747)

Question 1097032: Why is ?
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Question 1097032: Why is ?
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Question 1097032: Why is ?
Click here to see answer by MathTherapy(10549)

Question 1097026: x + y + z = (x * y) / 2
(x * x) + (y * y) = z * z
Click here to see answer by ikleyn(52747)

Question 1097122: a 3 - b 3 = a 3 + a 2 b - a 2 b - ab 2 + ab 2 + b 3 how to prove that with explain
Click here to see answer by ikleyn(52747)

Question 1097312: what expression is equivalent to (x+5)^2

Click here to see answer by Fombitz(32388)

Question 1097372: What is the units digit of 19^93?
Click here to see answer by ikleyn(52747)

Question 1097432: Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 decimal places when necessary.)
Through (2, 36) and (4, 324)
Click here to see answer by Fombitz(32388)

Question 1097448: The annual revenue of Amazon.com rose from approximately $10.7 billion in 2006 to $34.2 billion in 2010.�
(a) Use this information to find both a linear model and an exponential model for Amazon.com's annual revenue I (in billions of dollars) as a function of time t in years since 2000. HINT [See Example 2.] (Round all coefficients to three significant digits.)
linear model I(t) =

exponential model I(t) =

Which of these models would you judge to be more appropriate to the data shown below?
t (Year since 2000) 6 7 8 9 10
I ($ billions) 10.7 14.8 19.2 24.5 34.2
The is more appropriate.
(b) Use the better of the two models from part (a) to predict the 2007 figure and compare it with the actual figure above. (Round your answer to one decimal place.)
The model yields an estimate of $
billion, which is not too far from the actual figure.
Click here to see answer by Boreal(15235)

Question 1097446: A few weeks into the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of cases was increasing by about 4% each day.� On April 1, 2003, there were 1,804 cases. Find an exponential model that predicts the number of cases t days after April 1, 2003.
f(t) =

Use it to estimate the number of cases on April 29, 2003. (The actual reported number of cases was 5,462.)

cases
Click here to see answer by Boreal(15235)

Question 1097445: Soon after taking an aspirin, a patient has absorbed 300 mg of the drug. After 2 hours, only 75 mg remain. Find an exponential model for the amount of aspirin in the bloodstream after t hours. HINT [See Example 2.]
f(t) =

Use your model to find the amount of aspirin in the bloodstream after 6 hours.
f(t) =
mg
Click here to see answer by Boreal(15235)

Question 1097444: Question Part
Points
Model the data using an exponential function f(x) = Abx. HINT [See Example 1.]
x 0 1 2
f(x) 600 300 150
f(x) =

Click here to see answer by Boreal(15235)

Question 1097838: What is (1/3) 5 in expanded form and simplified?
Click here to see answer by Alan3354(69443)

Question 1098080: What remainder is left when the number (13314412157)^3 is divided by 11?
Click here to see answer by ikleyn(52747)

Question 1098147: 2^-3p*2^2p=2^3p
Click here to see answer by greenestamps(13195)

Question 1098226: Ax+By=c solve for x
Click here to see answer by wilft1(217)

Question 1098289: Expand the number 212 into its corresponding exponential form.

4 � 53

2^2 � 53

2 � 106

53 � 8

Click here to see answer by KMST(5328)

Question 1098302: Which of the following shows a number as a product of prime numbers in exponential form? Choose all that apply.

3^2 � 5 � 7
4^2 � 5 � 7
3^3 � 8
3^3 � 11
Click here to see answer by josgarithmetic(39613)

Question 1098279: Which of the following shows a number as a product of prime numbers in exponential form? Choose all that apply.
Click here to see answer by richwmiller(17219)

Question 1098499: How do you distribute this to a single equation?
-1/3(x^3-13x-12)
Click here to see answer by Alan3354(69443)

Question 1098681: 2^x+2^x+1
Click here to see answer by Fombitz(32388)

Question 1098768: (x+2)^(3/2)=-1
Click here to see answer by greenestamps(13195)

Question 1099155: What is 5x + 4 divided by -2
Click here to see answer by Fombitz(32388)

Question 1099659: The sum of 36 consecutive odd, positive integers is the greatest perfect cube less than 50 000. Find the sum of the least and the greatest of the integers.
Click here to see answer by ikleyn(52747)

Question 1099827: find the value of of x:
9^2x-1=36^x
Click here to see answer by Fombitz(32388)

Question 1100064: Please solve.
Simplify, and write without negative exponents.
(x^n+y^m)^2

Click here to see answer by Alan3354(69443)

Question 1100194: Im not understanding something to do with Exponential functions
Find the Exponential function f(x)=a^x whos grpah is given.
Graph points are (-2,4)
I did f(-2)=4
a^-2 =4
a^2=-4
and im stuck because now im getting a root of a negative, which this is not about imaginary numbers.
Click here to see answer by Alan3354(69443)

Question 1100323: can you please solve.
simplify:
(x^n+y^m)^2
Click here to see answer by Theo(13342)

Question 1100323: can you please solve.
simplify:
(x^n+y^m)^2
Click here to see answer by Alan3354(69443)

Question 1100063: Please solve
Simplify, and write without negative exponents.
(x^n−1+y^n−4)(x^n+y^n−1)

Click here to see answer by Fombitz(32388)

Question 1100928: If a DNA strand doubles every 20 minutes, how many strands would you have any 24 hour period?
Click here to see answer by Boreal(15235)

Question 1101424: The formula R=-0.075t+3.85 can be used to predict the world record in the 1500 meter run, the years after 1930. Determine the inequality that identifies the years in which the world record will be less than 3.7 minutes. Solve for t>□ (Round to the nearest whole number.) The years after 1930, in which the record is less than 3.7 minutes, are described by the solution set {Years|Years>□}.
Click here to see answer by Theo(13342)

Question 1101423: A metal stay at Fahrenheit temperatures below 1557.6�. Determine (in terms of an inequality ) those Celsius temperatures for which the metal stays solid. Use the formula F=9/5C+32. The solution set is {C|C < □�}. (Round to the nearest tenth.)
Click here to see answer by stanbon(75887)

Question 1101536: (8.8x10^-9)x(7.7z1-^-7) / 9.9x10^-10
Click here to see answer by josgarithmetic(39613)

Question 1101899: if a=10 to the power x , b=10 to the power y and a to the power x times b to the power y is equal to 100 then prove that xy=1.
Click here to see answer by richwmiller(17219)

Question 1102089: What is -1/3 to the second power ?
Click here to see answer by Alan3354(69443)

Question 1102373: Find the ratio (approx)
1.67�10^-24 and 9.10�10^-28

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Question 1102380: y-5/x-3 express using positive exponents. simplify

Click here to see answer by josgarithmetic(39613)

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