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

1 Answer
Oct 28, 2015

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.