Use the Power Rule of Exponents to simplify the expression (6^2)4.

Answer 1

To simplify the expression (6^2)4 using the power rule of exponents, we first evaluate the exponent inside the parentheses.

(6^2)4 = 36^4

Next, we apply the power rule of exponents, which states that for any numbers a and b, (a^b)^c = a^(b*c).

Therefore, we can simplify 36^4 as 6^(2*4) = 6^8.

So, (6^2)4 simplifies to 6^8.