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Mathematics 12 Online
OpenStudy (anonymous):

(2*2)^1/3 =

OpenStudy (owlfred):

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OpenStudy (anonymous):

is this (4)^1/3 or 2^1/3 * 2^1/3 = 4^2/3

OpenStudy (anonymous):

Is 1/3 the exponent? or is it a 2?

OpenStudy (anonymous):

1/3 is the exponent

OpenStudy (anonymous):

\[(2 *2)^{1/3}\]

OpenStudy (anonymous):

Always remember PEMDAS. Parentheses before exponents. So (4)^1/3

OpenStudy (anonymous):

but then why is this true: (xy)n = x^ny^n

OpenStudy (anonymous):

\[(xy)^{n} = x ^{n} y ^{n}\]

OpenStudy (anonymous):

It says this in a book or something, correct?

OpenStudy (anonymous):

i thought the same thing- PEMDAS, but yet that changes the answer...i think.

OpenStudy (anonymous):

This is because the exponent is a variable which distributes into the parentheses.

OpenStudy (anonymous):

i see- with numbers you actually solve and with variables you can't, so you distribute?

OpenStudy (anonymous):

Yes, do you have the answer to your problem? Maybe I can help you get there.

OpenStudy (anonymous):

no, i don't. thank you- you were very helpful.

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