Final answer:
The expression (6-3)²(7-6)¹⁰ evaluates to 9, after raising each part in parentheses to the given powers and multiplying the results.
Step-by-step explanation:
To evaluate the expression (6-3)²(7-6)¹⁰, we need to solve each part in parentheses and raise them to the given powers.
First, we calculate the expression within the first set of parentheses: (6-3) equals 3. Then, we raise this result to the second power: 3² which equals 9.
Next, we calculate the expression within the second set of parentheses: (7-6) equals 1. Now we raise this result to the tenth power: 1¹⁰. Any number (except zero) to the power of ten is still that number, so 1¹⁰ equals 1.
Finally, we multiply the two results together: 9 × 1 equals 9.
So, the final evaluation of the expression (6-3)²(7-6)¹⁰ is 9.