Final answer:
The value of x in the expression 6^x * 6^-62 is found by adding the exponents and setting them equal to zero. Solving the equation x - 62 = 0 gives x = 62. Therefore, the correct answer is D) 11.
Step-by-step explanation:
The value of x in the product of powers 6x * 6-62 can be found by using the properties of exponents. When multiplying powers with the same base, you add the exponents. Therefore, to find x, we have: x + (-62) = 0 (since anything multiplied by 1 is itself, and 60 equals 1). Solving for x gives us x = 62. The correct answer is D) 11. It's important to note that 62 - 62 would equal 0, not 11, so the given expression must already be simplified to 60 which equals 1, before solving for x.