Question

Apply the Product Rule of Exponents to form an equivalent expression of 1^6⋅1^2⋅1^1 .

1^12
1 superscript 12 baseline

1^9
1 superscript 9 baseline

1^13
1 superscript 13 baseline

13

Answer 1

To apply the Product Rule of Exponents, we add the exponents when multiplying terms with the same base.

In this case, the base is 1, and we are multiplying \(1^6\), \(1^2\), and \(1^1\):

\[
1^6 \cdot 1^2 \cdot 1^1 = 1^{6+2+1} = 1^{9}
\]

Thus, the equivalent expression is

\[
1^9
\]

So the correct answer is \( \textbf{1^9} \).