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What is the product of 
6.4 ×10^(5) and 
1.0 ×10^(3) expressed in scientific notation?
Answer:

What is the product of 6.4×105 6.4 \times 10^{5} and 1.0×103 1.0 \times 10^{3} expressed in scientific notation?\newlineAnswer:

Full solution

Q. What is the product of 6.4×105 6.4 \times 10^{5} and 1.0×103 1.0 \times 10^{3} expressed in scientific notation?\newlineAnswer:
  1. Multiply Coefficients: Multiply the coefficients (6.46.4 and 1.01.0) together.\newlineCalculation: 6.4×1.0=6.46.4 \times 1.0 = 6.4
  2. Add Exponents: Add the exponents (55 and 33) from the powers of 1010.\newlineCalculation: 5+3=85 + 3 = 8
  3. Combine Results: Combine the results of Step 11 and Step 22 to express the product in scientific notation.\newlineCalculation: (6.4×1.0)×10(5+3)=6.4×108(6.4 \times 1.0) \times 10^{(5 + 3)} = 6.4 \times 10^8

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