Question

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

Answer 1

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`.