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OpenStudy (anonymous):
what is \[3^{\frac{ 3 }{ 2 }}\] equal to?
myininaya (myininaya):
guessing you want to "simplify"
here is a hint
\[\frac{3}{2}=\frac{1}{2}+\frac{2}{2}=\frac{1}{2}+1\]
OpenStudy (anonymous):
myininaya (myininaya):
oh the form then I gave is not any of those forms
\[(3^3)^\frac{1}{2}\]
myininaya (myininaya):
look at that and see if you can use that
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OpenStudy (solomonzelman):
yes, myininaya they don't simplify completely as I or you would
OpenStudy (studygurl14):
Rule of exponents:
\(\Large x^{\frac{m}{n}}=\sqrt[n]{x^m}\)
OpenStudy (anonymous):
1 thought it would be D.
OpenStudy (solomonzelman):
yes
OpenStudy (anonymous):
ok thanks just checking.
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OpenStudy (solomonzelman):
like your use of "1" instead of "I" ....
OpenStudy (anonymous):
hehe. Its the downplayed version of my normal typing. :)
OpenStudy (anonymous):
thanks
myininaya (myininaya):
i put "simplify" in quotation marks
because sometimes it can mean different things
also I was thinking this @bloofoffiction if you ever need to use this:\[3^\frac{3}{2}=3^{\frac{1}{2}+1}=3^\frac{1}{2}3^1=3^1 \cdot 3^\frac{1}{2}=3 \sqrt{3}\]
like you might find this useful to later on
OpenStudy (anonymous):
Geez that looks a bit complicated, but 1'll remember that for later. Thanks.
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myininaya (myininaya):
it is all for fun! :)
OpenStudy (anonymous):
1n my opinion math isn't fun but to each his own I guess. :)
OpenStudy (solomonzelman):
well the rules she used:
~ \(\large\color{green}{ a^{b+c}=a^b \times a^c }\)
~ \(\large\color{green}{ a^{b/c}=\sqrt[c]{a^b} }\)