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Mathematics 8 Online
OpenStudy (anonymous):

Can someone help me with a few questions?

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

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

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!

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

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

OpenStudy (anonymous):

I got it thanks

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