Which of the following expressions are equivalent? Justify your reasoning. OPTIONS LISTED BELOW

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Which of the following expressions are equivalent? Justify your reasoning. OPTIONS LISTED BELOW

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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A. \[\sqrt[4]x{3}\] B. \[\frac{ 1 }{ x^{-1}}\] C.\[\sqrt[10]{x}^5 \times x^4 \times x^2\] D. \[x^{1/3} \times x ^{1/3} \times x^{1/3}\]
review exponent rules see which applies solve and choice what matches
|dw:1439938113254:dw|

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|dw:1439938334626:dw|
|dw:1439938289435:dw|
so what do i do first for the first one to try and simply it
|dw:1439938437676:dw|
would the first one be x 3/4?
shift the number 6 key for the exponent symbol yes
okay and for the second one would it just be 1^-1?
no look again 1 is not x hint x^0 = 1
so it would be 0^-1 right? or just x^-1?
would B and D be matches?
|dw:1439938786538:dw|
ok
|dw:1439938986593:dw|
im not good at this stuff sorry!
ok thanks anyways
@KKLL99 @KarlaKalurky please help me
what confuses you? :)
how to compare them all @KarlaKalurky
and how to tell which ones are equal @KarlaKalurky
\[1.) x ^{3/4}\] \[2.) \frac{ 1 }{ x ^{-1} } = x ^{-1(-1)}= x ^{1}= x\] \[3.) x ^{5/10}* x ^{4} * x ^{3} = x ^{1/2}*x ^{4}*x ^{3} = x ^{(1/2)+(4)+(3)} = x ^{15/2}\] \[4.) x ^{1/3} * x ^{1/3} * x ^{1/3} = x ^{(1/3)+(1/3)+(1/3)}= x ^{3/3}= x ^{1}=x\]
is that how to simplify all of them? now how do I compare to see which ones are equal?
so, 2 and 4 would be equivalent right?
you should practice different problems about this :) this should be easy :) yes it is :)
okay, thank you! I just started learning this
goodluck! :D
thank you!
you are welcome :)

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