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Simplify (9.3×10⁵)×(2×10³)

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To simplify \((9.3 \times 10^5) \times (2 \times 10^3)\), you can use the properties of multiplication of numbers in scientific notation.

  1. Multiply the coefficients (the numbers in front): \[ 9.3 \times 2 = 18.6 \]

  2. Add the exponents of the powers of 10: \[ 10^5 \times 10^3 = 10^{5+3} = 10^8 \]

  3. Combine the results: \[ 18.6 \times 10^8 \]

Since \(18.6\) is not in standard scientific notation (where the coefficient should be between 1 and 10), we convert \(18.6\) to \(1.86 \times 10^1\):

  1. Rewrite the expression: \[ 18.6 \times 10^8 = 1.86 \times 10^1 \times 10^8 \]

  2. Combine the powers of 10: \[ 1.86 \times 10^{1+8} = 1.86 \times 10^9 \]

Thus, the simplified form of \((9.3 \times 10^5) \times (2 \times 10^3)\) is: \[ \boxed{1.86 \times 10^9} \]