Use the Power Rule of Exponents to create a simplified equivalent expression of
(12x12x12)x(12x12x12)
Using the Power Rule of Exponents, we can simplify the expression as follows:
(12x12x12)x(12x12x12)
(12^3)(x^1x^1x^1)(12^3)(x^1x^1x^1)
(12^3)(12^3)(x^1x^1x^1x^1x^1x^1)
12^(3+3) x^(1+1+1+1+1+1)
12^6 x^6
2,176,782,336 x^6
To simplify the expression (12x^12x^12) x (12x^12x^12) using the Power Rule of Exponents, we multiply the coefficients together and then combine the like variables by adding their exponents.
The expression can be rewritten as:
12^1 x^12 x^12 x 12^1 x^12 x^12
Using the power rule, we can add the exponents of x:
12^1 x^24 x 12^1 x^24
Now, we can multiply the coefficients together:
12^1 x 12^1 = (12 x 12)^1 = 144^1 = 144
Therefore, the simplified equivalent expression is:
144 x^24 x^24