Apply the product rule of integer exponents to find the numerical equivalent of 12^-5 * 12^7. Show your work and explain how you used the product rule integer exponents.
Short and simple
The product rule of integer exponents states that when multiplying powers with the same base, you add the exponents.
To find the numerical value of 12^-5 * 12^7, we can use the product rule of integer exponents.
First, let's write the expression using the product rule:
12^-5 * 12^7 = 12^(7-5) = 12^2
Now we can simplify the expression:
12^2 = 12 * 12 = 144
So, the numerical equivalent of 12^-5 * 12^7 is 144.
We used the product rule of integer exponents by adding the exponents because we are multiplying powers with the same base (12).
i said short and simple
Sure!
Using the product rule of integer exponents, we add the exponents when multiplying powers with the same base.
So, 12^-5 * 12^7 simplifies to 12^2, which is equal to 144.