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

a. $p^{20}$ b. $p^{20}$ c. $p^{\frac{1}{8}}$ d. $p^{\frac{1}{8}}$ e. $(a^{m)^{n}}$ is the same as $(a^{n)^{m}}$ because when you multiply the exponents it becomes $a^{mn}.$
a. $(p^{5)^{4}}$ = $(p^{5\times4})$ = $p^{20}$ b. $(p^{4)^{5}}$ = $(p^{4\times5})$ = $p^{20}$ c. $(p^{\frac{1}{2})^{\frac{1}{4}}}$ = $(p^{\frac{1}{2}\times\frac{1}{4}})$ = $p^{\frac{1}{8}}$ d. $(p^{\frac{1}{4})^{\frac{1}{2}}}$ = $(p^{\frac{1}{4}\times\frac{1}{2}})$ = $p^{\frac{1}{8}}$ e. $(a^{m)^{n}}$ is the same as $(a^{n)^{m}}$ because when you multiply the exponents it becomes $a^{mn}.$