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This module provides a sample test over exponents.

Simplify. Your answer should not contain any negative or fractional exponents.

1 a 3 size 12{ { {1} over {a rSup { size 8{ - 3} } } } } {}

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4x 4 y 5 z 6 wxy 3 z 3 size 12{ { {4x rSup { size 8{4} } y rSup { size 8{5} } z} over {6 ital "wxy" rSup { size 8{ - 3} } z rSup { size 8{3} } } } } {}

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x 6 3 size 12{x rSup { size 8{ { {6} over {3} } } } } {}

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Give an algebraic formula that gives the generalization for #18-19.

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Solve for x :

Rewrite 1 x 2 3 size 12{ { {1} over { nroot { size 8{3} } {x rSup { size 8{2} } } } } } {} as xsomething.

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Solve for x :

3 ( x 2 ) size 12{3 rSup { size 8{ \( x rSup { size 6{2} } \) } } } {} = 1 9 3x size 12{ left ( { {1} over {9} } right ) rSup { size 8{3x} } } {}

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A friend of yours is arguing that x⅓ should be defined to mean something to do with “fractions, or division, or something.” You say “No, it means _____ instead.” He says “That’s a crazy definition!” Give him a convincing argument why it should mean what you said it means.

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On October 1, I place 3 sheets of paper on the ground. Each day thereafter, I count the number of sheets on the ground, and add that many again. (So if there are 5 sheets, I add 5 more.) After I add my last pile on Halloween (October 31), how many sheets are there total?

  • A

    Give me the answer as a formula.
  • B

    Plug that formula into your calculator to get a number.
  • C

    If one sheet of paper is 1 250 size 12{ { {1} over {"250"} } } {} inches thick, how thick is the final pile?
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The Web site www.bankrate.com defines depreciation as “the decline in a car’s value over the course of its useful life” (and also as “something new-car buyers dread”). The site goes on to say:

Let’s start with some basics. Here’s a standard rule of thumb about used cars. A car loses 15 percent to 20 percent of its value each year.

For the purposes of this problem, let’s suppose you buy a new car for exactly $10,000, and it loses only 15% of its value every year.

  • A

    How much is your car worth after the first year?
  • B

    How much is your car worth after the second year?
  • C

    How much is your car worth after the nth year?
  • D

    How much is your car worth after ten years? (This helps you understand why new-car buyers dread depreciation.)
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Draw a graph of y 2 3 x . Make sure to include negative and positive values of x .

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Draw a graph of y 1 3 x 3 . Make sure to include negative and positive values of x .

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What are the domain and range of the function you graphed in number 36?

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Extra credit:

We know that a b 2 is not, in general, the same as a 2 b 2 . But under what circumstances, if any, are they the same?

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
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Source:  OpenStax, Advanced algebra ii: activities and homework. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col10686/1.5
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