A. $\left(\frac{a}{b}\right)^{p}=a^{p} b^{p}$ B. $\left(\frac{a}{b}\right)^{p}=a^{p} b^{-p}$ C. $\left(\frac{a}{b}\right)^{p}=a^{p}-b^{p}$ D. $\left(\frac{a}{b}\right)^{p}=a^{p}+b^{p}$