i typed in a problem and i got this answer can somebody explain this to me PLEASE ??
2.56e+22
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OpenStudy (anonymous):
i believe i can help you, but i need to know the original problem
OpenStudy (anonymous):
(6.25*10^-12)^-2
OpenStudy (anonymous):
so this is 6.25 times 10 raised to the -12 power inside the parentheses
OpenStudy (anonymous):
then raise that result to the -2
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
ok. so how did you proceed?
OpenStudy (anonymous):
um
OpenStudy (anonymous):
by proceed you mean start the problem?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
ok wow i feel stupid ok
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OpenStudy (anonymous):
ok first you distribute the -2
OpenStudy (anonymous):
ok.
OpenStudy (anonymous):
i am so sorry some ones at my door one minute please
OpenStudy (anonymous):
no problem
OpenStudy (anonymous):
ok they left im so sorry
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OpenStudy (anonymous):
not at all
OpenStudy (anonymous):
please, dont feel uncomfortable. you are fine
OpenStudy (anonymous):
which will be 6.25^-2 times 10^24
OpenStudy (anonymous):
sure. that looks good so far
OpenStudy (anonymous):
0.0256 times....
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OpenStudy (anonymous):
ok it says 1e+24
OpenStudy (anonymous):
when i tried to type in 10^24
OpenStudy (anonymous):
1e2+24 means 10^24
OpenStudy (anonymous):
so e2 is the same as ^?
OpenStudy (anonymous):
ooops. 1e+24=10^24
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OpenStudy (anonymous):
ok so e is ^
OpenStudy (anonymous):
it is simply notation
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
raised to the exponent of 24
OpenStudy (anonymous):
ok well thats less confusing
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OpenStudy (anonymous):
it seems like your math skills and order of operations are in order. this was just a notation issue.
OpenStudy (anonymous):
ok its just im taking algebra 1 as a highschool credit and its the 2nd week and its sooooo confusing
OpenStudy (anonymous):
now the 6.25 raised to the -2 gave you the .0256
OpenStudy (phi):
on calculators or in programming languages e is used to mean 10 to the exponent
so
2e3 means 2 times 10^3 or 2000
and
2e-3 means 2 times 10^-3 or 2 times 1/1000 or 1/500
OpenStudy (anonymous):
thanks phi
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OpenStudy (anonymous):
thank you !
OpenStudy (anonymous):
i don t think we are quite through yet
OpenStudy (anonymous):
i was talking to phi
OpenStudy (anonymous):
so back to the problem
OpenStudy (anonymous):
to get the answer, there is a final step
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OpenStudy (anonymous):
.0256=2.56x10^-2
OpenStudy (anonymous):
so thats it?
OpenStudy (anonymous):
and we are multiplying this times 10^24
OpenStudy (anonymous):
it says to simplify and write it in scientific notation
OpenStudy (anonymous):
so now we add the exponents of 10
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OpenStudy (anonymous):
by the laws of exponents, when you multiply two exponents with the same base, in this case 10, you add the exponents
OpenStudy (anonymous):
add them with what theres no more exponents left
OpenStudy (anonymous):
remember that i wrote for you .0256=2.56x10^-2;
OpenStudy (anonymous):
now multiply that time 1x10^24
OpenStudy (anonymous):
10^24
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OpenStudy (anonymous):
yes, 1x10^24=10^24
OpenStudy (anonymous):
i wrote it that way so that you can see that the 2.56 has 1 to multiply by
OpenStudy (anonymous):
sooo its 2.56x10^24
OpenStudy (anonymous):
so the product looks like this; 1x2.56x10^24x10^-2
OpenStudy (anonymous):
not quite, you have to account for the 10^-2
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OpenStudy (anonymous):
?!?
OpenStudy (anonymous):
look at the above product.. dont give up... you are nearly there
OpenStudy (anonymous):
iam COMPLETLY lost
OpenStudy (anonymous):
add the exponents of the 10's
OpenStudy (anonymous):
22
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OpenStudy (anonymous):
ok.
OpenStudy (anonymous):
.0256=2.56x10^-2 and 1x10^24=10^24; then we take their product;
OpenStudy (anonymous):
(2.56x10^-2)(1x10^24); now use the commutative property to rearrange the product like so; (2.56x1)(10^-2x10^24). Does this make sense to you?
OpenStudy (anonymous):
ok my moms home now she can can help me i just cant do this on the computer it to confusing
OpenStudy (anonymous):
i"am sooooo sorry
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OpenStudy (anonymous):
thank you for your time and help i just have to see it worked out on paper