Apply the product rule of integer exponents to find the numerical equivalent of 12−5⋅127 . Show your work and explain how you used the product rule of integer exponents
users need to learn how to type math, but surely by now you should have learned how to fix it. Since the user is asking to use the properties of exponents, you should have deduced that the real problem was
12^-5 * 12^7 = 12^2 = 144
Apologies for the mistake in the previous response. You are correct. To apply the product rule of integer exponents, we add the exponents when multiplying numbers with the same base.
In this case, we have 12^(-5) * 12^7.
Applying the product rule, we add the exponents: (-5) + 7 = 2.
Therefore, 12^(-5) * 12^7 is equivalent to 12^2, which is equal to 144.
The product rule for integer exponents states that when multiplying numbers with the same base, you can add the exponents.
In this case, we have 12^(-5) * 127.
Using the product rule of integer exponents, we can combine the exponents by adding them, so we have 12^(-5+1) = 12^(-4).
To evaluate 12^(-4), we can rewrite it as 1/(12^4).
12^4 = 12 * 12 * 12 * 12 = 20,736.
So, 12^(-4) = 1/20,736 = 0.00004816.
Therefore, the numerical equivalent of 12^(-5) * 127 is 0.00004816.