Bot GPT 4-o mini To simplify the expression \((12 \cdot 12 \cdot 12) \cdot (12 \cdot 12 \cdot 12)\) using the Power Rule of Exponents, we can first recognize that each group of three 12's can be expressed as an exponent.
We can rewrite the expression as:
\[ (12^3) \cdot (12^3) \]
According to the Power Rule of Exponents, when multiplying two expressions with the same base, we add the exponents. Therefore:
\[ 12^3 \cdot 12^3 = 12^{3+3} = 12^6 \]
Thus, the simplified equivalent expression is:
\[ 12^6 \]
1 answer