use the power rule of exponents to create an expression equivalent to (15^6)^2

Question

15^3
15^4
15^8
15^12

Answer 1

To simplify the expression \((15^6)^2\) using the power rule of exponents, we apply the rule which states that \((a^m)^n = a^{m \cdot n}\).

So, we have:

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

Thus, \((15^6)^2\) is equivalent to \(15^{12}\).