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3\times 10^{2}\times 2
To multiply powers of the same base, add their exponents. Add 5 and -3 to get 2.
3\times 100\times 2
Calculate 10 to the power of 2 and get 100.
300\times 2
Multiply 3 and 100 to get 300.
600
Multiply 300 and 2 to get 600.