Question

Simplify the following and write the answer in the
exponential form.
$\left[\right(2^2{)}^3\times 3^6]\times 5^6$

• A. 1
• B. ${60}^3$
• C. ${30}^6$
• D. ${11}^6$

Answer 1

The correct option is C ${30}^6$

$\left[\right(2^2{)}^3\times 3^6]\times 5^6$
= $\left[\right(2^6)\times 3^6]\times 5^6$
= $2^6\times 3^6\times 5^6$
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> = ${(2\times 3\times 5)}^6$
= ${30}^6$