Question

$m^n{n}^m\times m^m{n}^n$ equals

• A. $(m+n{)}^{mn}$
• B. $(n{)}^{m+n}$
• C. $(m{)}^{m+n}$
• D. $(mn{)}^{m+n}$

Answer 1

The correct option is D

$(mn{)}^{m+n}$

$m^n{n}^m\times m^m{n}^n$

= $m^n\times m^m\times n^m\times n^n$

= $m^{n+m}\times n^{m+n}$

= $(mn{)}^{m+n}$