Apply the product rule of integer exponents to find the numerical equivalent of 12^-5x12^7. Show your work and explain how you used the product rule of integer exponents
The product rule of integer exponents states that when you multiply two terms with the same base, you add their exponents.
To find the numerical equivalent of 12^-5x12^7, we can use the product rule of integer exponents.
We have two terms with the same base, which is 12. The first term is 12^-5 and the second term is 12^7.
Using the product rule, we add the exponents:
12^-5 x 12^7 = 12^(-5 + 7) = 12^2.
Now we can simplify 12^2 to find the numerical equivalent.
12^2 = 12 x 12 = 144.
Therefore, the numerical equivalent of 12^-5x12^7 is 144.