Mathematics
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OpenStudy (anonymous):
Radical expressions question
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OpenStudy (anonymous):
I got 3^1/20 but I have no idea how to write this in radical form
Parth (parthkohli):
\( \color{Black}{\Rightarrow \Large {3}^{1 \over 4} \cdot 3^{1 \over 5} }\)
When the base is same, you add the powers :)
OpenStudy (anonymous):
how would you write that in a radical expression?
OpenStudy (anonymous):
In power, it will come 9/20...
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OpenStudy (anonymous):
sorry, yes i meant 9^1/20
Parth (parthkohli):
\( \color{Black}{\Rightarrow \Large 3^{9 \over 20} }\)
\( \color{Black}{\Rightarrow \sqrt[20]{9^{\large 9}}}\)
Parth (parthkohli):
As \(\Large a^{x \over y} = \sqrt[y]{a^x}\)
OpenStudy (anonymous):
\[(3)^{1/4} \times (3)^{1/5} = (3)^{(1/4 + 1/5)} = (3)^{9/20}\]
OpenStudy (anonymous):
OHHHH i see now
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OpenStudy (anonymous):
@ParthKohli there will come 3 power 9 in the root term...
Parth (parthkohli):
That's what I have written, my kind sir.
OpenStudy (anonymous):
That is written by you only nobody came and wrote their my dear friend...
Parth (parthkohli):
What? o.O
OpenStudy (anonymous):
\[\sqrt[20]{3^9}\] must come there...
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OpenStudy (anonymous):
thank you very much for your help, both of you
Parth (parthkohli):
Exactly what I have written >.<
OpenStudy (anonymous):
You have written 9 power 3 not 3 power 9...
OpenStudy (anonymous):
Welcome dear...
Parth (parthkohli):
Oh yea lol
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Parth (parthkohli):
sorry
OpenStudy (anonymous):
Don't say sorry now...