Use the power rule of exponents to create a simplified equivalent expression of in parentheses 12×12×12 times in parentheses 12×12×12. What would the answer be?

Answer 1

To simplify the expression \( (12 \times 12 \times 12) \times (12 \times 12 \times 12) \) using the power rule of exponents, we first note that \( 12 \times 12 \times 12 \) can be expressed as \( 12^3 \).

Therefore, we can rewrite the expression as:

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

According to the power rule of exponents, when multiplying like bases you add the exponents:

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

Thus, the simplified equivalent expression is:

\[ 12^6 \]