Question

Find the inverse of ab if a⁻¹ and b⁻¹?

Answer 1

To find the inverse of ab given a^-1 and b^-1, follow the steps: multiply a^-1 and b^-1, add the exponents of a^-1 and b^-1, a^-2 is the inverse of ab.

Step-by-step explanation:

To find the inverse of ab given a-1 and b-1, we can follow the steps below:

1. Multiply a-1 and b-1 to get (a-1)(b-1).
2. Use the property of exponents that states when you multiply two numbers with the same base, you add the exponents. In this case, (a-1)(b-1) becomes a-1+(-1) = a-2.
3. Therefore, the inverse of ab is a-2.