Tutors Answer Your Questions about Exponents (FREE)
Question 448057: When rewriting an exponential expression with a negative exponent and positive base to an expression containing only a positive exponent, does the sign of the base change?
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No; the negative in the exponent means "invert the base";
it does not mean you should change the sign of the base.
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Ex:
y = 10*2^(-t)
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y = 10*(1/2)^t
QUESTION: Please explain what you mean when you say invert the base, it does not mean you should change the sign of the base. Im having a hard time explaning this to my classmates.... I would appreciate help with this....Sincere thanks
Click here to see answer by jim_thompson5910(35256)  |
Question 452368: How do you solve this equation?
(-2x^3y)^6
If the exponent is on the outside of the parentheses do you multiply it by the exponents inside the parenthesis or add them?
Btw it's 2x cubed not 3y.
Please help, and thank you!
Click here to see answer by Alan3354(69443)  |
Question 452387: I am so confused, how would this problem be solved?
(x^2)(3x^5)^3(9x^2
______
3x)
I don't know how to type a fraction bar, sorry about that but there are 3 pairs of parentheses if it helps it's x squared times 3x to the power of five raised to the power of 3 and 9x squared over 3x
I'm in algebra 1 so please explain it slowly
I got 87x^18 but I'm not so sure.
Please help, thank you!
Click here to see answer by Alan3354(69443) |
Question 456713: I have to factor completely. I don't even know what I have to do here. I don't think I can subtract these from one another. Therefore, am I supposed write it out? Please help me understand what to do!
5b^4c^7d^6- 7b^5c^3d^8
Click here to see answer by Alan3354(69443) |
Question 456732: The mass of Uranus is about 8.7 x 10^22 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Uranus is the mass of the sun? Give your answer in scientific notation.
The mass of the sun is about __________ times the mass of Uranus.
(Round to the nearest thousandth as needed. Use scientific notation.)
Click here to see answer by stanbon(75887) |
Question 444864: Some types of worms have a remarkable ability to live without moisture. The following table from one study shows the number of worms surviving after x days without moisture.
x is days and w is worms.
x = 0, 20, 40, 80, 120, 160
w = 50, 48, 45, 36, 20, 3
A) Use the equation W = -0.0014x^2 - 0.076x + 50 to find W for each x-value in the table. (Your can show me one and I may be able to get the rest)
B) Discuss how well this equation approximates the data.
C) Use the equation to estimate the number of worms on day 60 and 180. Which answer is most accurate and explain?
Click here to see answer by ladymobb(1) |
Question 460410: I had this exponent problem.
3^x-2 = 81 --> 3^4 = 81
I can solve it by trial and error (evaluating values for x)to get the exponent. But I figure that there has to be a better way to find the root. Any help you can provide would be greatly appreciated because I have similar problems to solve of this kind.
Click here to see answer by robertb(5830)  |
Question 461958: Hello. I just keep getting all of these type equations incorrect mainly because I am having so much trouble with the "exponential notation with positive exponents. Here is the equation.
Multiply and Simplify.Type exponential notation
(64b^2 over 2b^2-12b+18) * (2b-6 over 8b)
Please help with the answer and proper way of writing the answer. Thanks!!
Click here to see answer by lwsshak3(11628) |
Question 462265: Simplify each of the following using properties of exponents. Leave answers as powers.
a. 3^*3^4 b. 5^2*5^4*5^2 c. 6^2*2^2*3^2
My answers are below:
a. 625^2
b. 36*4*3^2
c. 3^8*3^4
Could someone please advise whether or not my answers are correct and if not could you please provide me with the correct answer.
Click here to see answer by MathLover1(20849)  |
Question 462298: a set contains the first ten letters of english alphabet.how many different alphabets of three letters can be chosen from the given set of letters ?what is the probability that an alphabet chosen at random will contain a ?
Click here to see answer by MIT0053(1) |
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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
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