Question

Express ${\left(81\right)}^4$ as a power with the base $3$.

• A. $3^{-16}$
• B. $3^{16}$
• C. $3^0$
• D. $3^8$

Answer 1

The correct option is B $3^{16}$

${81}^4={\left(3^4\right)}^4$

$=3^{4\times 4}\because \left[\right(a^m{)}^n=a^{mn}]$

$=3^{16}$

Hence, option $A$ is correct.