Use the Power Rule of Exponents to create a simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12)

Question

.(1 point)

Answer 1

To simplify the expression \((12 \cdot 12 \cdot 12) \cdot (12 \cdot 12 \cdot 12)\) using the Power Rule of Exponents, we can first rewrite each group of \(12\)s as an exponent:

\[ 12 \cdot 12 \cdot 12 = 12^3 \]

So, we can rewrite the entire expression as:

\[ (12^3) \cdot (12^3) \]

According to the Power Rule of Exponents, when you multiply two expressions with the same base, you add the exponents:

\[ 12^3 \cdot 12^3 = 12^{3+3} = 12^6 \]

Thus, the simplified equivalent expression is:

\[ \boxed{12^6} \]