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What is the quotient of 
8.0 ×10^(9) and 
8.0 ×10^(2) expressed in scientific notation?
Answer:

What is the quotient of 8.0×109 8.0 \times 10^{9} and 8.0×102 8.0 \times 10^{2} expressed in scientific notation?\newlineAnswer:

Full solution

Q. What is the quotient of 8.0×109 8.0 \times 10^{9} and 8.0×102 8.0 \times 10^{2} expressed in scientific notation?\newlineAnswer:
  1. Write in Scientific Notation: Write down the numbers in scientific notation.\newlineWe have 8.0×1098.0 \times 10^9 and 8.0×1028.0 \times 10^2.
  2. Divide Coefficients: Divide the coefficients (the numbers in front of the powers of 1010).\newlineDivide 8.08.0 by 8.08.0, which equals 11.\newline8.0÷8.0=18.0 \div 8.0 = 1
  3. Subtract Exponents: Subtract the exponents of the powers of 1010. Subtract the exponent of the denominator (22) from the exponent of the numerator (99). 109÷102=1092=10710^9 \div 10^2 = 10^{9-2} = 10^7
  4. Combine Results: Combine the results of Step 22 and Step 33 to express the quotient in scientific notation.\newlineThe quotient is 1×1071 \times 10^7.

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