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

is he right?

Answer 2

most of the time he not but well i will see hold on. are u a conexxes student too?

Answer 3

nice work

Answer 4

The product rule of Integer Exponents states that when multiplying two numbers with the same base raised to different exponents, we can add the exponents. In other words, for any positive integer a and any integers m and n, we have:

a^m * a^n = a^(m+n)

Using the product rule, we can find the numerical equivalent of 12^-5 * 12^7 as follows:

12^-5 * 12^7 = 12^(-5 + 7)

= 12^2

= 144

In this case, we used the product rule to add the exponents of 12. The exponent of the first 12 is -5, and the exponent of the second 12 is 7. By adding these exponents together, we get 2. Therefore, 12^-5 * 12^7 is equal to 144.

Answer 5

Apologies for the incorrect response. The product rule of Integer Exponents is actually defined as:
a^m * a^n = a^(m + n)

Using this rule, we can find the numerical equivalent of 12^-5 * 12^7 as follows:

12^-5 * 12^7 = 12^(-5 + 7)

= 12^2

= 144

So, the previous response was correct. The numerical value of 12^-5 * 12^7 is indeed 144.