Question

Simplify the following. $3^4\times 4^4$

Answer 1

To find: $3^4\times 4^4$

$3^4\times 4^4$

$=(3\times 4{)}^4$ [$\because a^m\times b^m=(a\times b{)}^m$]

$=(12{)}^4$

$=12\times 12\times 12\times 12$ [$\because a^m=a\times a\times a....{.}^{\prime }{m}^{\prime }$ number of times]

$=20736$

$\therefore 3^4\times 4^4=20736$