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5\times 10^{2}\times 25
To multiply powers of the same base, add their exponents. Add 5 and -3 to get 2.
5\times 100\times 25
Calculate 10 to the power of 2 and get 100.
500\times 25
Multiply 5 and 100 to get 500.
12500
Multiply 500 and 25 to get 12500.