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 integer exponents.
Short and simple version
The product rule of integer exponents states that when multiplying two numbers with the same base, you add their exponents.
Using the product rule, we can find the numerical equivalent of 12^(-5) * 12^7 by adding the exponents together.
12^(-5) * 12^7 = 12^(-5 + 7) = 12^2
Therefore, the numerical equivalent of 12^(-5) * 12^7 is 12^2.
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 integer exponents.
The product rule of integer exponents states that when you multiply two numbers with the same base, you can add their exponents.
Let's apply this rule to find the numerical equivalent of 12^-5 * 12^7.
First, we add the exponents: -5 + 7 = 2.
Then, we keep the base (12) and raise it to the power of 2.
12^2 = 12 * 12 = 144.
Therefore, the numerical equivalent of 12^-5 * 12^7 is 144.