Question

What is the simplified form of the expression?

Answer 1

the answer is A.  q^1/4

Answer 2

`\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^{(33)/(4)}}{q^8}\implies q^{(33)/(4)}\cdot q^(-8)\implies q^{(33)/(4)-8}\implies q^{(1)/(4)}`