Find the product (3p^4) ^4 * (p^2) ^7

To raise a product to a power, raise each factor to the power.

To raise a power to a power, multiply the powers.

To multiply powers with the same base, add exponents.

(3p^4) ^4 * (p^2) ^7 =

= 3^4 * (p^4) ^4 * p^14

= 81 * p^16 * p^14

= 81p^30