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

Question

.(1 point)
Responses

15^8
15 superscript 8 baseline

15^12
15 superscript 12 baseline

15^4
15 superscript 4 baseline

15^3
15 cubed

Answer 1

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

Here, we have:

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

Therefore, the equivalent expression is:

15^12 (15 superscript 12 baseline)