Mathematics
8 Online
OpenStudy (anonymous):
Can someone help me with a few questions?
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OpenStudy (anonymous):
find the value of \[\sqrt[3]{0.027}\]
OpenStudy (anonymous):
@iGreen.
OpenStudy (anonymous):
use desmos.com
OpenStudy (anonymous):
its a wonderful calculator
OpenStudy (xapproachesinfinity):
hmm think of the radical as powers
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OpenStudy (xapproachesinfinity):
\[\sqrt[n]{x}=x^{\frac{1}{n}}\] this is what i meant
OpenStudy (anonymous):
i am confused
OpenStudy (xapproachesinfinity):
of course you need to rewrite the inside number as powers first
OpenStudy (xapproachesinfinity):
we have the inside number can be written as \[0.027=27\times 10^{-3}=3^3\times 10^{-3}\]
OpenStudy (anonymous):
A.
0.003
B.
0.03
C.
0.3
D.
3
answer choices
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OpenStudy (xapproachesinfinity):
with what i said earlier we have \[\sqrt[3]{0.027}=(3^3\times10^{-3})^\frac{1}{3}\]
OpenStudy (xapproachesinfinity):
eh do some work don't expect me to pinpoint the answer to you
i can only help work it out
OpenStudy (anonymous):
I only need help knowing how to do problem
OpenStudy (xapproachesinfinity):
that is what i'm doing!
OpenStudy (xapproachesinfinity):
i'm giving the step on how to deal with it!
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OpenStudy (xapproachesinfinity):
the first thing is that radical can be written as fractional powers
OpenStudy (anonymous):
I know
OpenStudy (xapproachesinfinity):
if for example you have \[\sqrt[4]{2^2}=(2^{2})^{1/4}=2^{2\times 1/4}=2^{1/2}\]
OpenStudy (anonymous):
yyes
OpenStudy (xapproachesinfinity):
i made the root into exponent then i used exponents property
multiplying 2 by 1/4 to the exponent to 1/2
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OpenStudy (xapproachesinfinity):
you need to use the same properties in your problem here
OpenStudy (xapproachesinfinity):
the only property i didn't mention yet is \[(a\times b)^n=a^n\times b^n\]
distribution of the exponent of the product
OpenStudy (xapproachesinfinity):
if you in algebra class you have to know all of this basic rules of exponents
OpenStudy (xapproachesinfinity):
in your case a= 3^3 and b=10^{-3}
distribute the power 1/3 over the product just like i did
OpenStudy (xapproachesinfinity):
try doing like what i did
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OpenStudy (anonymous):
I got it thanks