simplify the expression (6^2)^4 using the power rule of exponents.

Answer 1

To simplify the expression $(6^2{)}^4$ using the power rule of exponents, you can use the rule which states that $(a^m{)}^n=a^{m\cdot n}$.

Applying this rule:

$$(6^2{)}^4=6^{2\cdot 4}=6^8$$

So, the simplified expression is:

$$6^8$$