Use the Power Rule of Exponents to create an expression equivalent to (15^6)^2

Question

Responses:

15^8

15^12

15^3

15^4

Answer 1

To apply the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can simplify the expression \((15^6)^2\).

Using the rule:

\[ (15^6)^2 = 15^{6 \cdot 2} = 15^{12} \]

Thus, the equivalent expression is \(15^{12}\).

The correct response is:

15^12