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Mathematics
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OpenStudy (booklover40):
Three to what power equals 1/387420489
10 years ago
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OpenStudy (janu16):
is tht 1 over 387420489
10 years ago
OpenStudy (booklover40):
Yes.
10 years ago
OpenStudy (janu16):
do you have chocies
10 years ago
OpenStudy (booklover40):
No. I solved a bit of the question, but I need help with this part.
10 years ago
OpenStudy (janu16):
can you post the question instead?
10 years ago
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OpenStudy (janu16):
i was wondering like what type of question is that lol
10 years ago
OpenStudy (booklover40):
Okay. Hang on...
10 years ago
OpenStudy (booklover40):
Three to what power is equal to (-27)^-6?
10 years ago
OpenStudy (booklover40):
This is for my pre-algebra class.
10 years ago
OpenStudy (janu16):
when you solve (-27)^-6 you get 1 over 387420489 so the question is what power to 3 gets that? hmm
10 years ago
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OpenStudy (booklover40):
ya
10 years ago
OpenStudy (janu16):
alright le me think lol
10 years ago
OpenStudy (janu16):
(-27)^(-6)=3^x
(27)^(-6)•(-1)^(-6)=3^x
(27)^(-6)•(1/(-1)^(6))=3^x
(27)^(-6)•(1/1)=3^x
(27)^(-6)=3^x
(3^3)^(-6)=3^x
(3)^(-6•3)=3^x
10 years ago
OpenStudy (booklover40):
All I know is that the exponent is going to be negative. I have a hard time with negative exponents. :(
10 years ago
OpenStudy (phi):
this is a problem where you do not expand to get that huge number (making the problem very hard to figure out)
they want you to use "rules of exponents" (i.e. tricks!)
10 years ago
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OpenStudy (janu16):
@booklover40 thats what i came up with
10 years ago
OpenStudy (booklover40):
Thanks!
10 years ago
OpenStudy (janu16):
yw
10 years ago
OpenStudy (booklover40):
It was right! Thank you so much!
10 years ago
OpenStudy (anonymous):
\[\frac{1}{3^n}=\frac{1}{387420489} \]n = 18
10 years ago
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