Question

What is the simplified form of the expression?

Answer 1

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}} \\\\ -------------------------------$

$\bf \cfrac{x^ay^{-b}z^c}{x^{-d}y^ez^f}\implies \cfrac{x^ax^dz^cz^{-f}}{y^ey^b}\implies \cfrac{x^{a+d}z^{c-f}}{y^{e+b}}\\\\ -------------------------------\\\\ \cfrac{q^{\frac{33}{4}}}{q^8}\implies q^{\frac{33}{4}}\cdot q^{-8}\implies q^{\frac{33}{4}-8}\implies q^{\frac{1}{4}}$

Answer 2

The answer is A.  q^1/4