## Algebra 1: Common Core (15th Edition)

a) $y^{\frac{1}{4}}$ b) $y^{\frac{1}{4}}$ c) $\frac{k^5}{j^3}$ d) $\frac{b^5}{a^8}$ e) $\frac{z^7}{y^6}$
a) $\frac{y^{\frac{3}{4}}}{y^{\frac{1}{2}}}=y^{\frac{3}{4}-\frac{1}{2}}=y^{\frac{1}{4}}$ b) $\frac{y^{\frac{3}{4}}}{y^{\frac{1}{2}}}=y^{\frac{3}{4}-\frac{1}{2}}=y^{\frac{1}{4}}$ c) $\frac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\frac{k^5}{j^3}$ d) $\frac{a^{-3}b^7}{a^5b^2}=a^{-3-5}b^{7-2}=a^{-8}b^5=\frac{b^5}{a^8}$ e) $\frac{x^{4}y^{-1}z^8}{x^4y^{-5}z}=x^{4-4}y^{-1-5}z^{8-1}=y^{-6}z^7=\frac{z^7}{y^6}$