Michael has just finished the following math question:71172=797 2 7 11 ​ =7 9 Out of curiosity, Michael wonders what this would equal:727117 11 7 2 ​  Simplify the above expression using the appropriate index laws. Give your answer as a number with a positive index.

The question seems to be a bit unclear, but if we're looking at it as a base and exponent problem, here's how you could solve it:

The expression seems to be written in the form of base and exponent, where the base is 7 and the exponent is a fraction 2/7.

1. First, you need to simplify the fraction in the exponent. In this case, 2/7 is already in its simplest form.

2. Next, you need to apply the index law of exponents which states that a^(m/n) = n√(a^m).

3. So, the expression 7^(2/7) would be equal to the 7th root of 7^2.

4. 7^2 equals 49.

5. The 7th root of 49 is approximately 1.74110113.

So, 7^(2/7) = 1.74110113.