Mathematics
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OpenStudy (anonymous):
Giving Medal ((&)) Fan
Rewrite the radical as a rational exponent
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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.
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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
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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):
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OpenStudy (anonymous):
7^20
OpenStudy (anonymous):
7
OpenStudy (anonymous):
OpenStudy (solomonzelman):
So what is your answer ?
OpenStudy (anonymous):
i think its D
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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.
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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 :)