Question

What is the simplified form of the expression?

Answer 1

`\frac{q^{(33)/(4)}}{q^(8)} = \frac{\sqrt[4]{q^(33)}}{q^(8)} = \frac{q^(8)\sqrt[4]{q}}{q^(8)} = \sqrt[4]{q}`

Answer 2

remember
(x^m)/(x^n)=x^(m-n)

(q^(33/4))/(q^8)=q^((33/4)-8)
what is 33/4-8?
33/4-8=33/4-32/4=1/4

result is
q^1/4 or
`\sqrt[4]{q}`

answer is
`q^{ (1)/(4) }`