The product rule of integer exponents states that when you multiply two terms with the same base, you add their exponents. In this case, we have 12^-5 * 12^7.
To apply the product rule, we add the exponents together: -5 + 7 = 2.
So, 12^-5 * 12^7 is equivalent to 12^2.
Now let's find the numerical value of 12^2. 12^2 means we multiply 12 by itself, twice:
12^2 = 12 * 12 = 144.
Therefore, the numerical equivalent of 12^-5 * 12^7 is 144.
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 of integer exponents.
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