Answer
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 $a^{mn}.$
Work Step by Step
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 $a^{mn}.$
