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 4
15 superscript 4 baseline

15 12
15 superscript 12 baseline

15 3
15 cubed
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Answer 1

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

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

Therefore, the equivalent expression is:

15 superscript 12 baseline.