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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The product rule of integer exponents states that when you have the same base raised to different exponents, you can multiply the bases and add the exponents. In this case, you have 12 raised to the power of -5 and 12 raised to the power of 7.

To find the numerical equivalent of 12^-5 . 12^7, you first apply the product rule by multiplying the bases, which gives you 12^-5 * 12^7 = 12^(-5+7).

Next, you add the exponents -5 and 7, which gives you 12^2.

Therefore, the numerical equivalent of 12^-5 . 12^7 is 12^2.