Question

Apply the product rule of integer exponents to find the numerical equivalent of 12^-5x12^7. Show your work and explain how you used the product rule of integer exponents

Answer 1

The product rule of integer exponents states that when you multiply two terms with the same base, you add their exponents.

To find the numerical equivalent of 12^-5x12^7, we can use the product rule of integer exponents.

We have two terms with the same base, which is 12. The first term is 12^-5 and the second term is 12^7.

Using the product rule, we add the exponents:

12^-5 x 12^7 = 12^(-5 + 7) = 12^2.

Now we can simplify 12^2 to find the numerical equivalent.

12^2 = 12 x 12 = 144.

Therefore, the numerical equivalent of 12^-5x12^7 is 144.