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Mathematics 16 Online
OpenStudy (anonymous):

Giving Medal ((&)) Fan Rewrite the radical as a rational exponent

OpenStudy (anonymous):

OpenStudy (anonymous):

im sorry may you help me w/ this @SolomonZelman

OpenStudy (solomonzelman):

The formula is, \(\LARGE\color{black}{ \sqrt[C]{A^{B}}= A^{B/C} }\)

OpenStudy (anonymous):

so do i multiply the exponent and 7 ?

OpenStudy (solomonzelman):

you re-write it using the formula I gave you. Your "C" is 4. Your "B" is 5. Your "A" is 7.

OpenStudy (anonymous):

okay so that will be 4 square root 7^5

OpenStudy (anonymous):

@SolomonZelman ?

OpenStudy (solomonzelman):

You mean, \(\Large\color{black}{ \sqrt[4]{7^{5}}= }\) ?

OpenStudy (solomonzelman):

(without the equal sign)

OpenStudy (anonymous):

yes

OpenStudy (solomonzelman):

But that is what you have from the begging, isn't it ?

OpenStudy (anonymous):

aww dang yes

OpenStudy (solomonzelman):

you want to re-write it, as 7 raised to an exponent which is a fraction.

OpenStudy (anonymous):

hold on im going to put the anwser choices

OpenStudy (anonymous):

OpenStudy (anonymous):

7^20

OpenStudy (anonymous):

7

OpenStudy (anonymous):

OpenStudy (solomonzelman):

So what is your answer ?

OpenStudy (anonymous):

i think its D

OpenStudy (solomonzelman):

IF, \(\Large\color{black}{ \sqrt[C]{A^{B}}= A^{B/C} }\) IF, \(\Large\color{black}{ \sqrt[4]{7^{5}}= 7^{^{?/?}} }\)

OpenStudy (solomonzelman):

if and then I mean.

OpenStudy (anonymous):

is that 7^20

OpenStudy (solomonzelman):

look carefully one more time, please.

OpenStudy (solomonzelman):

I am re-writing B as the numerator of the exponent, and C as the denominator of the exponent.

OpenStudy (anonymous):

I originally chose A

OpenStudy (solomonzelman):

Yes, \(\Large\color{black}{ 7^{^{5/4}} }\)

OpenStudy (anonymous):

oh wow i had that the first time thanks alot !

OpenStudy (solomonzelman):

Anytime, good work :)

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