Apply the product rule of integer exponents to find the numerical equivalent of%C2%A0%C2%A0 12−5⋅127 . Show your work and explain how you used the product rule of integer exponents.(2 points)

Answer 1

To apply the product rule of integer exponents, we need to multiply the base (12) by itself the number of times indicated by the exponent (-5⋅127).

First, let's break it down and simplify the expression inside the parentheses: -5⋅127. This means that we need to multiply -5 by 127.

Next, let's multiply 12 by itself the number of times indicated by the simplified exponent (-5⋅127). Since the exponent is negative, we need to take the reciprocal of the base raised to the positive exponent.

The reciprocal of 12^(-5⋅127) is the same as (1/12)^(5⋅127).

Therefore, the numerical equivalent is (1/12)^(5⋅127) × -5 × 127.

We can now calculate the numerical value using a calculator or a software program.