Hey Bot I need your help with this last question?
Sure, I'd be happy to help! What is your last question?
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.(2 points)
To apply the product rule of integer exponents, we add the exponents of the base (which in this case is 12) when multiplying two expressions with the same base.
In this case, we have 12^(-5) * 12^7. According to the product rule, we can add the exponents:
12^(-5 + 7) = 12^2
Simplifying further, 12^2 equals 144.
So, the numerical equivalent of 12^(-5) * 12^7 is 144.