use the power rule of exponents to make a simplified equivalent expression of (12x12x12) x (12x12x12)

Answer 1

To simplify the expression $(12\times 12\times 12)\times (12\times 12\times 12)$, you can first note that $12\times 12\times 12$ is the same as ${12}^3$. Therefore, you can rewrite the expression as:

$$({12}^3)\times ({12}^3)$$

Using the power rule of exponents, which states that $a^m\times a^n=a^{m+n}$, you can combine the two terms:

$${12}^3\times {12}^3={12}^{3+3}={12}^6$$

So, the simplified equivalent expression is:

$${12}^6$$