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 of integer exponents
The product rule of integer exponents states that when you multiply two numbers with the same base, you add their exponents.
In this case, we have 12^(-5) multiplied by 12^7.
Using the product rule, we add the exponents of 12: -5 + 7 = 2.
Therefore, 12^(-5) * 12^7 can be simplified to 12^2.
To find the numerical equivalent, we need to calculate 12^2.
12^2 = 12 * 12 = 144.
So the numerical equivalent of 12^(-5) * 12^7 is 144.