Tutors Answer Your Questions about Exponents (FREE)
Question 1002539: Consider the expansion of (x+y)^n. thanks!
1. How many terms does the expression contain?
2. What is the exponent of x in the first term?
3. What is the exponent of y in the first term?
4. What is the sum of the exponents in any term of the expansion ?
Show work please, thanks
Click here to see answer by jim_thompson5910(35256)  |
Question 254067: Hi. I have a question concerning how exponents 'work'.
I understand how exponents 'work' like finding their value and how parenthesis change their value sometimes but that isn't my question.
My question is why is it that sometimes exponents come out positive and negative without parenthesis. Like this example... -x^2=y
I understand the concept sorta. To solve do you want to square x then take the negative result or you the negative value of x to square
I know if you graph this equation out the graph will open down but then why is it a regular problem -x^2 is positive (It is poitive right?)
Why is it sometimes you get positive and negative answers for the similiar probblems.
Is it just with graphing?
Like when you have a negative exponent in graphing you always take the negative or what?
Please help Thanks!
PS. I'm unsure liike when someone ask me -2^2 if it is positive or negative
Click here to see answer by smithsac(2) |
Question 254067: Hi. I have a question concerning how exponents 'work'.
I understand how exponents 'work' like finding their value and how parenthesis change their value sometimes but that isn't my question.
My question is why is it that sometimes exponents come out positive and negative without parenthesis. Like this example... -x^2=y
I understand the concept sorta. To solve do you want to square x then take the negative result or you the negative value of x to square
I know if you graph this equation out the graph will open down but then why is it a regular problem -x^2 is positive (It is poitive right?)
Why is it sometimes you get positive and negative answers for the similiar probblems.
Is it just with graphing?
Like when you have a negative exponent in graphing you always take the negative or what?
Please help Thanks!
PS. I'm unsure liike when someone ask me -2^2 if it is positive or negative
Click here to see answer by richard1234(7193)  |
Question 254067: Hi. I have a question concerning how exponents 'work'.
I understand how exponents 'work' like finding their value and how parenthesis change their value sometimes but that isn't my question.
My question is why is it that sometimes exponents come out positive and negative without parenthesis. Like this example... -x^2=y
I understand the concept sorta. To solve do you want to square x then take the negative result or you the negative value of x to square
I know if you graph this equation out the graph will open down but then why is it a regular problem -x^2 is positive (It is poitive right?)
Why is it sometimes you get positive and negative answers for the similiar probblems.
Is it just with graphing?
Like when you have a negative exponent in graphing you always take the negative or what?
Please help Thanks!
PS. I'm unsure liike when someone ask me -2^2 if it is positive or negative
Click here to see answer by MathTherapy(10549)  |
Question 959158: Once upon a time, at precisely 11:00 pm, a single bacterium
was placed into a nutrient-filled bottle in a laboratory. The bacterium immediately began gobbling up
nutrients, and after just one minute-making the time 11:01- it had grown so much that it divided into
two bacteria. These two ate until, one minute later, they each divided into two bacteria, so that there
were a total of four bacteria in the bottle at 11:02. The four bacteria grew and divided into a total of
eight bacteria at 11:03, sixteen bacteria at 11:04, and so on. All seemed fine, and the bacteria kept on
eating happily and doubling their number every minute, until the “midnight catastrophe.” The
catastrophe was this: At the stroke of 12:00 midnight, the bottle became completely full of bacteria,
with no nutrients remaining- which meant that every single one of the bacteria was suddenly doomed to
death.
We now turn to our questions, as we seek to draw lessons from the tragic demise of the bacterial
colony.
Question 1: The catastrophe occurred because the bottle became completely full at 12:00 midnight.
When was the bottle half-full?
Question 2: You are a mathematically sophisticated bacterium, and at 11:56 you recognize the impending disaster. You immediately jump on your soapbox and warn that unless your fellow bacteria
slow their growth dramatically, the end is just 4 minutes away. Will anyone believe you?
Question 3: It’s 11:59 and your fellow bacteria are finally taking your warnings seriously. Hoping to
avert their impending doom, they quickly start a space program, sending little bacterial spaceships out
into the lab in search of new bottles. To their relief, they discover that the lab has three more bottles
that are filled with nutrients but have no one living in them. They immediately commence a mass
migration through with they successfully redistribute the population evenly among the four bottles (the
three new ones plus the one already occupied), just in time to prevent the midnight catastrophe. How
much more time do the additional bottles buy for their civilization?
Question 4: Because the three extra bottles bought so little time, the bacteria keep searching out more
and more bottles. Is there any hope that additional discoveries will allow the colony to continue its
rapid growth? Assume each bacterium occupies a volume of 10 with an exponent of -21;
cubic meters and the surface area of
the Earth is 510 million square km. At 1:00 a.m. how deep are the bacteria if they evenly spread over the surface of the earth?
Click here to see answer by mattsmom(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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