Book Maths Puzzle Algebra

I am having trouble with the array method. The two fractions are 4 and 1/2 and 5 and 1/3. I did it the traditional way and got 24. But I am having trouble with the array method.

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Book Other Question

John likes 400 but not 300, he likes 100 but not 99, he likes 3600 but not 3700. What number does John like ? Simplify

(-2a^2B^-1)^3/(3ab^0)^3