Question

${(-2)}^4\times {\left(3\right)}^4$ = .

• A. - 1296
• B. $-{24}^4$
• C. - ${12}^4$
• D. ${(-6)}^4$

Answer 1

The correct option is D ${(-6)}^4$

We know that for non-zero integers $a$ and $b$, and integer $m$,
$a^m\times b^m={\left(ab\right)}^m.$
$\Rightarrow {(-2)}^4\times {\left(3\right)}^4=(-2\times 3{)}^4$
$={(-6)}^4$
$=1296$