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OpenStudy (anonymous):
Reduce the fraction
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OpenStudy (anonymous):
\[27x^{4}y^{5}c/18x ^{3}y ^{5}c ^{3}\]
OpenStudy (zzr0ck3r):
(3/2)xc^(-2)
OpenStudy (lgbasallote):
\[\Large \frac{27x^4 y^5 c}{18x^3 y^5 c^3} \implies \frac{27}{18} \times \frac{x^4}{x^3} \times \frac{y^5}{y^5} \times \frac{c}{c^3}\]
dies that help?
OpenStudy (zzr0ck3r):
so write them like (27/18)(x^4/x^3)(y^5/y^5)(c/c^-3)
OpenStudy (lgbasallote):
does*
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OpenStudy (anonymous):
How does that simplify it?
OpenStudy (lgbasallote):
\[\frac{27}{18} \implies \frac{27 \div 9}{18 \div 9}\]
that's how to simplify 27/18
OpenStudy (lgbasallote):
\[\frac{x^4}{x^3} \implies x^{4-3}\]
this is rules of exponent
OpenStudy (anonymous):
3x/c^2?
OpenStudy (lgbasallote):
you're missing a 2 somewhere
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OpenStudy (lgbasallote):
should be \[\frac{3x}{2c^2}\]
OpenStudy (lgbasallote):
\[\frac{27}{18} \implies \frac{27 \div 9}{18 \div 9} \implies \frac 32\]
OpenStudy (lgbasallote):
got it?
OpenStudy (anonymous):
Where does the 2 come from?
OpenStudy (lgbasallote):
18 divided by 9 is 2
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OpenStudy (lgbasallote):
have you forgotten how to simplify numerical fractions?
OpenStudy (anonymous):
No, just a careless mistake.
OpenStudy (lgbasallote):
i see. we all have that moment :)
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