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 have a power raised to another power, you multiply the exponents.
In this case, we have 12^(-5) * 12^7.
To find the numerical equivalent, we will simplify this expression using the product rule. We add the exponents of 12 together, and keep the base (12) the same.
12^(-5) * 12^7 = 12^((7-5)) = 12^2
So, the numerical equivalent of 12^(-5) * 12^7 is 12^2.