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100\times 4.2\times 10^{5}
To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.
420\times 10^{5}
Multiply 100 and 4.2 to get 420.
420\times 100000
Calculate 10 to the power of 5 and get 100000.
42000000
Multiply 420 and 100000 to get 42000000.