Answer: [tex]27p^{26}[/tex]
Step-by-step explanation:
In this case, you need to use the Power of a power property, which states that:
[tex](a^m)^n=a^{mn}[/tex]
And the Product of powers property, which states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Then, applying this, we get the following product:
[tex](3p^4)^3*(p^2)^7=27p^{(4)(3)}*p^{(2)(7)}=27p^{12}*p^{14}=27p^{(12+14)}=27p^{26}[/tex]
