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Multiply. Write your answer in scientific notation.\newline(1×102)(8×104)(1 \times 10^2)(8 \times 10^4)\newline______

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Full solution

Q. Multiply. Write your answer in scientific notation.\newline(1×102)(8×104)(1 \times 10^2)(8 \times 10^4)\newline______
  1. Identify numbers and group: Identify the numbers to be multiplied and group the coefficients and power terms together.\newlineCoefficients: 11 and 88\newlinePower terms: 10210^2 and 10410^4
  2. Multiply coefficients: Multiply the coefficients.\newline1×8=81 \times 8 = 8
  3. Add power term exponents: Add the exponents of the power terms with the same base of 1010.102×10410^2 \times 10^4 can be written as 10(2+4)10^{(2 + 4)}
  4. Perform exponent addition: Perform the addition of the exponents. 102+4=10610^{2 + 4} = 10^6
  5. Combine results for final answer: Combine the results from Step 22 and Step 44 to write the final answer in scientific notation.\newlineCoefficient = 88\newlinePower term = 10610^6\newlineScientific notation: 8×1068 \times 10^6

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