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

Question

Responses

15 to the power of 3
15 cubed

15 to the power of 4
15 superscript 4 baseline

15 to the power of 12
15 superscript 12 baseline

15 to the power of 8
15 superscript 8 baseline

Answer 1

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

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

Thus, the equivalent expression is:

15 to the power of 12 (or 15 superscript 12 baseline).