Mathematics
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OpenStudy (anonymous):
simplify 3^1/2 . 3^1/2
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OpenStudy (mertsj):
Use the principle: ( a^m)(a^n)=a^(m+n)
OpenStudy (mertsj):
\[a^ma^n=a ^{m+n}\]
OpenStudy (anonymous):
how do you do that?
OpenStudy (mertsj):
If the bases are the same, you multiply expressions by adding the exponents. Your bases are the same. Add the exponents.
OpenStudy (anonymous):
9^1/2?
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OpenStudy (mertsj):
what is the exponent of 3^1/2?
OpenStudy (anonymous):
6?
OpenStudy (mertsj):
\[4^7\]
OpenStudy (mertsj):
In the expression I just posted, 4 is the base and 7 is the exponent
OpenStudy (anonymous):
Oh okay, so then what?
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OpenStudy (mertsj):
\[(4^7 )(4^6)=4^{7+6}=4^{13}\]
OpenStudy (mertsj):
Add the exponents.
OpenStudy (anonymous):
oh okay so 4^13 is the answer?
OpenStudy (anonymous):
@Mertsj
OpenStudy (mertsj):
Did you see what I posted?
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OpenStudy (anonymous):
yeah but is the answer 4^13?
OpenStudy (mertsj):
That is the answer to the problem I made up. Now you use the same ideas to do your problem.
OpenStudy (anonymous):
okay but how do you add fractions?
OpenStudy (mertsj):
Oh please!! Are you telling me that if you have 1/2 dollar and someone gives you 1/2 dollar you don't know how much money you now have?????
OpenStudy (anonymous):
oh so the answer to my proclem is 3^1?
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OpenStudy (mertsj):
yes
OpenStudy (anonymous):
oh okay, thanks!
OpenStudy (mertsj):
yw