Use the Power Rule of Exponents to create an expression equivalent to (15small6)small2

Question

.(1 point)
Responses

1512
15 superscript 12 baseline

158
15 superscript 8 baseline

154
15 superscript 4 baseline

153

Answer 1

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

Here, \(a = 15\), \(m = 6\), and \(n = 2\):

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

So the equivalent expression is:

15 superscript 12 baseline.