Given:
[tex]\frac{(p^7)^2}{p^5}[/tex]Use the rules for exponents, according to the steps below.
Step 01: Use The Power Rule for Exponents.
According to this rule:
[tex](a^b)^c=a^{b\cdot c}[/tex]Then,
[tex](p^7)^2=p^{7\cdot2}=p^{14}[/tex]Substituting it, we have:
[tex]\frac{p^{14}}{p^5}[/tex]Step 02: Use The Quotient Rule of Exponents.
According to this rule:
[tex]\frac{a^b}{a^c}=a^{b-c}[/tex]Then,
[tex]\frac{p^{14}}{p^5}=p^{14-5}=p^9[/tex]Answer: p⁹.
