first change the 5.63 to standard form as
[tex]563 \times {10}^{ - 2} [/tex]
so now multiplying with the 10^6
[tex]563 \times {10}^{ - 2} \times {10}^{6} [/tex]
applying the first law of indices
[tex]563 \times {10}^{ - 1 + 6} [/tex]
[tex] = 563 \times {10}^{5} [/tex]
as final answer