Use the Power Rule of Exponents to create an expression equivalent to (15^6)^2 .(1 point)

Question

Responses

15^8
15 superscript 8 baseline

15^4
15 superscript 4 baseline

15^3
15 cubed

15^12

Answer 1

To simplify the expression \((15^6)^2\) using the Power Rule of Exponents, you multiply the exponents.

According to the Power Rule: \((a^m)^n = a^{m \cdot n}\).

So in this case:

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

Therefore, the equivalent expression is:

15^12