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

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Question 62663: Please help me solve this question. What is the average of 3^22, 3^23 and 3^24
Click here to see answer by ikleyn(53742)

Question 1210583: Solve 3^2x-1=27
Click here to see answer by math_tutor2020(3835)

Question 264828: my son is learning to divide exponents and i am not sure how to do this one.
x to the power of negative 2 y to the fourth power
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Question 264316: A sphere and a cube have the same volume. What is the ratio of the diameter of the sphere to the edge length of the cube ? Express answer as a decimal to the nearest hundredth.
Click here to see answer by josgarithmetic(39791)

Question 263186: Evaluate ((-2)^2-2)^2+5 *4
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Question 1065425: A retired woman has $80,000 to invest but needs to make $3,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%.
If we let x be the amount the woman invests in the 15% bond, how much in dollars will she be able to invest in the CD?
Click here to see answer by greenestamps(13326)

Question 994494: Where does the parentheses go in 10 + 5 times 4 to the power of 2 divided by 2 to the power of 3= 20
Click here to see answer by MathTherapy(10803)

Question 706087: (4/3)to the 3rd power divided by 2-2/3
tried several different ways, I know the answer is 16/9 but don't know how to get it.
I tried.
64/27 x -4/3 then I flipped to -3/4
came up with 61/23

Click here to see answer by MathTherapy(10803)

Question 730767: if the 21st and 22nd terms in the expansion of (1+x)^44 are equal, find the value of x
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Question 731842: Simplify:
{-2/5z to the fifth power}to the third power{10z}squared
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Question 477751: what is the unit digit of 7raisedto 155 how to solve it?
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Question 1198080: Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.)
$50,000 in a fund paying 5% per year, with monthly payments for 5 years, if the fund contains $10,000 at the start
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Question 1046030: Please help me solving
If then the value of
is given by?
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Question 1209868: If 2^{16^x} = 128*4^x, then find 2^x.
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Question 1209868: If 2^{16^x} = 128*4^x, then find 2^x.
Click here to see answer by Edwin McCravy(20077)

Question 1171449: ``The value of function -10000e^(-0.03x)-120x+10000 at its critical points is

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Question 1209332: For the equation (a-b)^2 + a^2 = 625, a and b are integers and a≥0. List the ordered pairs that occur.
Click here to see answer by greenestamps(13326)

Question 1198081: The following table shows the average life expectancies in several countries. Assume that all premiums you calculate are based on end-of-month deposits in a fund yielding 6.8% annual interest compounded monthly to be paid out when a person reaches the life expectancy. HINT [See Example 2.]
Country Japan Canada U.K. U.S. Mexico China India
Life
Expectancy:
Male 80 80 79 76 73 74 64
Life
Expectancy:
Female 87 84 83 81 79 77 68
Calculate the life insurance monthly premium that a 50-year-old female in Japan would pay for a $10,000,000 policy. (Round your answer to the nearest cent.)
Click here to see answer by onyulee(41)

Question 1209210: 10 to the power of -11
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Question 1208443: 8x10 exponent -4 in standard notation

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Question 1208239: A sugar ant is approximately 2 × 10^−3 meters long. If you put 10 million sugar
ants in a line, what is the distance from end to end?
 200 meters
 2,000 meters
 20,000 meters
 200,000 meters
Click here to see answer by MathTherapy(10803)

Question 1208304: (6x^2)^-1/6 all divided by (32x^5/2)^-2/5
Click here to see answer by mccravyedwin(420)

Question 1208150: Given the following table, determine if the function is linear, or nonlinear. If linear, find the slope.

Table

x............f(x)
-2...........1/4
-1...........1/2
0............1
1............2
2............4

Thanks.

Click here to see answer by ikleyn(53742)

Question 1207521: please evaluate the expression 3a+4b3 when a=6 and 6=2

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Question 1207258: Simplify
20^10/40^5 20 to the 10th divided by 40 to the 5th
Click here to see answer by greenestamps(13326)

Question 1207258: Simplify
20^10/40^5 20 to the 10th divided by 40 to the 5th
Click here to see answer by Theo(13342)

Question 1206763: Why does a base number to the exponent of zero equals 1?
When a number is multiplied zero times, shouldn't it be zero?
Example: 10 (exponent zero) = 1.

Click here to see answer by MathTherapy(10803)

Question 1206831: Simplyfiy p2-3b
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Question 1206397: Find the value of a/(b^3xc^2) in index form if a = (2/5)^4, b=(-1/3)^3 and c= (3/5)^2
Click here to see answer by ikleyn(53742)

Question 1206397: Find the value of a/(b^3xc^2) in index form if a = (2/5)^4, b=(-1/3)^3 and c= (3/5)^2
Click here to see answer by greenestamps(13326)

Question 1206369: (16x to the -4 power) to the 2nd power

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Question 1205815: (-3yx^3)^4

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Question 1205815: (-3yx^3)^4

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Question 1205144: A bacteria culture is started with 100 bacteria. After 7 hours, the population has grown to 600 bacteria. If the population grows exponentially, find the rate of growth in percent
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Question 1204752: If 6^(2x+1) = k, then 6^(4x+3) equals
A 12k
B k^2 + 6
C 6k^2
D 2k + 6
E 36k^2
Click here to see answer by MathTherapy(10803)

Question 1204836: If 6^(2x+1)=k , then 6^(4x+3) equals:
A) 12k
B) k^2 + 6
C) 6k^2
D) 2k+6
E) 36k^2
Click here to see answer by ikleyn(53742)

Question 1204836: If 6^(2x+1)=k , then 6^(4x+3) equals:
A) 12k
B) k^2 + 6
C) 6k^2
D) 2k+6
E) 36k^2
Click here to see answer by Edwin McCravy(20077)

Question 1204808: if 6^(2x+1) =k, then 6^(4x+3 ) equals
Click here to see answer by greenestamps(13326)

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