How do you simplify #(q^33/4)/q^8#?

1 Answer
Oct 28, 2015

Answer:

It simplifies to #q^24/4#.

Explanation:

First, you divide the numerator #(q^33/4)# with the denominator
#(q^8)#. Remember, dividing fractions is the same thing as multiplying it with it's reciprocal. #(q^8)# is the same thing as #(q^8)/1#. So:

#(q^33/4)# #* (1/(q^8))# = #(q^33/(4q^8))#

When you are dividing same variables (in this case, q), that have exponents, you can simplify them by subtracting their exponents. 33 - 8 = 24, so the final answer is #q^24/4#.