Question

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

Answer 1

wrong pick one of these answers: 1^12 1^13 1^9 1^3

Answer 2

To apply the Product Rule of Exponents, we use the rule that states:

\[
a^m \cdot a^n = a^{m+n}
\]

In your case, we have the expression:

\[
1^6 \cdot 1^2 \cdot 1^1
\]

Since the base is the same (which is 1), we can add the exponents:

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

Thus, the equivalent expression of \( 1^6 \cdot 1^2 \cdot 1^1 \) is:

\[
1^9
\]

And since any power of 1 is still 1, we can also say:

\[
1^{9} = 1
\]

So, the final result is:

\[
1
\]

Answer 3

Let's evaluate the expression \( 1^6 \cdot 1^2 \cdot 1^1 \) again using the Product Rule of Exponents.

We add the exponents:

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

So, among the choices you provided, the correct answer is:

\[
\boxed{1^9}
\]