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 (12x^12x^12) x (12x^12x^12) as follows:
(12x^12x^12) x (12x^12x^12)
= 12^1 x^12 x^12 x 12^1 x^12 x^12
= (12^1 x 12^1) x^12 x^12 x^12 x^12 x^12 x^12
= 12^(1+1) x^(12+12+12+12+12+12)
= 12^2 x^72
Therefore, the simplified equivalent expression is 12^2 x^72.
To simplify the expression (12x^12) × (12x^12) using the power rule of exponents, we will multiply the numerical coefficients and add the exponents:
First, let's multiply the coefficients:
12 × 12 = 144.
Now, let's apply the power rule of exponents to the variable x:
x^12 × x^12 = x^(12 + 12) = x^24.
Bringing everything together, the simplified equivalent expression is:
144x^24.
To use the power rule of exponents to simplify the expression (12x12x12) x (12x12x12), we need to multiply the bases (12) and add the exponents (2+2+2) for the variables (x).
Step 1: Multiply the numerical bases 12 x 12 = 144
Step 2: Add the exponents for the variable x: 2 + 2 + 2 = 6
So, the simplified equivalent expression of (12x12x12) x (12x12x12) using the power rule of exponents is 144x^6.