The product rule of integer exponents states that when you multiply two numbers with the same base, you can add their exponents.
To find the numerical equivalent of 12^-5 * 12^7, we first apply the product rule by adding the exponents of 12. The base is the same, which is 12.
12^-5 * 12^7 = 12^(-5 + 7)
Next, we simplify the exponent:
12^(-5 + 7) = 12^2
Finally, we calculate the numerical value of 12^2, which is:
12^2 = 144
Therefore, 12^-5 * 12^7 is equal to 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 rule of integer exponents..
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