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rishavraj (rishavraj):
\[\frac{ 1 }{ 12^{7} } = 12^{-7}\]
OpenStudy (cggurumanjunath):
a^x / a^y =a^(x-y)
OpenStudy (jhannybean):
\[\frac{12^3}{12^7} = 12^{3-7} = 12^?\]
OpenStudy (cggurumanjunath):
a=12,x=3,y=7
OpenStudy (jhannybean):
\[\large 12^{-?} \iff \frac{1}{12^?}\]
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OpenStudy (spring98):
4
rishavraj (rishavraj):
so it is
\[\frac{ 1 }{ 12^4 } \]
now wht??
rishavraj (rishavraj):
remember
\[\frac{ 1 }{ a } = a^{-1}\]
OpenStudy (spring98):
oh so would it be - 1/12^4?
OpenStudy (anonymous):
12^4
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OpenStudy (anonymous):
that would be you answer
rishavraj (rishavraj):
nah @yinkim52001
rishavraj (rishavraj):
@Spring98 u done???
OpenStudy (anonymous):
yah why not?
OpenStudy (anonymous):
there's no negative exponents .
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rishavraj (rishavraj):
@yinkim52001 remember
\[\frac{ 1 }{ a } = a^{-1}\]
OpenStudy (jhannybean):
You never leave your answers with negative exponents unless it's called for. Therefore \[\frac{1}{12^4} = \frac{1}{12\cdot 12\cdot 12\cdot 12}\] Whatever that is is your answer.
OpenStudy (spring98):
12^4 is the answer right?
OpenStudy (jhannybean):
No.
OpenStudy (anonymous):
no its 1/12^4
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OpenStudy (anonymous):
i see why its 1/12^4
rishavraj (rishavraj):
@Jhannybean its asking to just simplfy it ..... so i think we may just write in exponential form
OpenStudy (jhannybean):
You can have various simplifications @rishavraj either in positive exponential form, fully expanded form, or even negative exponent form. They would all be correct.
OpenStudy (spring98):
what is the answer then ? 1/12^4?
OpenStudy (anonymous):
\[\frac{ 1 }{ 12^{4} }\] thats your answer spring
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OpenStudy (anonymous):
yup
OpenStudy (jhannybean):
\[\frac{12^{-3}}{12^7} = 12^{-4} =\frac{1}{12^4} = \frac{1}{20736}\] TRy solving the next one yourself @Spring98