How do you divide #\frac { 3x ^ { 12} } { 27x ^ { 9} }#?

1 Answer
Anthony R.
Sep 13, 2017

#x^3/9#

Explanation:

We can treat this expression as:

#3/27*x^12/x^9#

If we just focus on the #3/27# we can simplify this since both #3# and #27# are divisible by #3#. So...

#(3divide3)/(27divide3)=1/9#

Next, looking at #x^12/x^9#, we can apply the quotient rule of exponents: #a^m/a^n=a^(m-n)#. In other words, we keep the #x# and just subtract the exponents.

#x^12/x^9=x^(12-9)=x^3#

Putting both parts together we get...

#1/9*x^3=(1x^3)/9=x^3/9larr# Final Answer

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