Use the power rule of exponents to create a simplified equivalent expression of (12 x 12 x 12) (12 x 12 x 12)

Answer 1

To simplify the expression \((12 \times 12 \times 12) \times (12 \times 12 \times 12)\), we can first rewrite each group of \(12\)s in terms of exponents.

Since \(12 \times 12 \times 12\) can be expressed as \(12^3\), we have:

\[ (12 \times 12 \times 12) \times (12 \times 12 \times 12) = 12^3 \times 12^3 \]

Now, using the power rule of exponents, which states that \(a^m \times a^n = a^{m+n}\), we can combine the exponents:

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

Therefore, the simplified equivalent expression is:

\[ 12^6 \]